In this aptitude MCQs, we have 60 questions on Time and Distance. It’s built to make your brain do quick math, not slow drama. You’ll face problems with speed, relative speed, and changes in the journey. Some questions are straight, some are trick-based. Use the solutions to learn shortcuts and reduce silly mistakes.
For a wider mix of aptitude topics, use this list: aptitude question and answers.
Time and Distance Formulas (Quick Reference)
1) Core Formulas
- Speed: v = d ÷ t
- Distance: d = v × t
- Time: t = d ÷ v
2) Unit Conversions
- km/h to m/s: v(m/s) = v(km/h) × 5 ÷ 18
- m/s to km/h: v(km/h) = v(m/s) × 18 ÷ 5
- Time: 1 h = 60 min, 1 min = 60 s
3) Average Speed
- General: vavg = (Total distance) ÷ (Total time)
- Equal distances at speeds v₁, v₂: vavg = (2v₁v₂) ÷ (v₁ + v₂)
- Different time segments: vavg = (v₁t₁ + v₂t₂ + …) ÷ (t₁ + t₂ + …)
- Including rest: vavg = (Total distance) ÷ (Travel time + Rest time)
4) Speed Change & Time Change (Same Distance)
- Inverse relation: t₁ ÷ t₂ = v₂ ÷ v₁
- % change in time (speed v₁ → v₂): %Δt = ((v₁ ÷ v₂) − 1) × 100
- Time difference equation: (D ÷ v₁) − (D ÷ v₂) = Δt
5) Relative Speed
- Same direction: vrel = |v₁ − v₂|
- Opposite direction: vrel = v₁ + v₂
- Meeting/Catching time: t = (Distance gap) ÷ vrel
- Delayed start catch-up: t = (vslow × Δt) ÷ (vfast − vslow)
6) Trains (Length Problems)
- Passing a pole: t = L ÷ v
- Passing a platform: t = (Ltrain + Lplatform) ÷ v
- Overtaking (same direction): t = (L₁ + L₂) ÷ (v₁ − v₂)
- Crossing (opposite direction): t = (L₁ + L₂) ÷ (v₁ + v₂)
7) Boats & Streams
- Downstream speed: vd = vb + vs
- Upstream speed: vu = vb − vs
- Boat speed (still water): vb = (vd + vu) ÷ 2
- Stream speed: vs = (vd − vu) ÷ 2
- Down + up time (same distance D): t = D ÷ (vb + vs) + D ÷ (vb − vs)
8) Circular Track / Races
- Meet again (same start, same direction): t = 1 ÷ |(1 ÷ T₁) − (1 ÷ T₂)|
- One full lap ahead: t = (T₁T₂) ÷ (T₂ − T₁) (T₁ < T₂)
9) Right-Angle Movement
- Resultant distance: d = √(x² + y²)
10) Probability (Random Arrival)
- Probability: P = (Favourable interval) ÷ (Total interval)
60 Time and Distance Aptitude Questions and Answers
Time and Distance Aptitude Test (20 MCQ Questions)
Question 1. A car covers 180 km in 3 hours 45 minutes. What is its average speed?
a) 42 km/h
b) 45 km/h
c) 48 km/h
d) 50 km/h
Answer:
b) 48 km/h
Question 2. A person walks at 5.4 km/h. How many meters does he cover in 25 seconds?
a) 35 m
b) 37.5 m
c) 40 m
d) 45 m
Answer:
b) 37.5 m
Question 3. A train travels 300 m in 15 s. What is its speed in km/h?
a) 60
b) 66
c) 72
d) 80
Answer:
d) 72
Question 4. A cyclist travels 24 km at 12 km/h and then 36 km at 18 km/h. What is the average speed for the whole journey?
a) 14 km/h
b) 15 km/h
c) 16 km/h
d) 17 km/h
Answer:
c) 16 km/h
Question 5. A person covers equal distances at speeds 30 km/h and 60 km/h. What is the average speed?
a) 40 km/h
b) 42 km/h
c) 45 km/h
d) 48 km/h
Answer:
c) 40 km/h
Question 6. A man covers 2/5 of a distance at 40 km/h and the remaining at 60 km/h. What is the average speed for the whole distance?
a) 48 km/h
b) 50 km/h
c) 52 km/h
d) 54 km/h
Answer:
b) 50 km/h
Question 7. A car increases its speed from 50 km/h to 60 km/h. By what percentage does its time for the same distance decrease?
a) 12%
b) 15%
c) 16.67%
d) 20%
Answer:
c) 16.67%
Question 8. A man takes 1 hour more to travel 120 km at a certain speed than he does at 80 km/h. What is his speed?
a) 48 km/h
b) 50 km/h
c) 60 km/h
d) 64 km/h
Answer:
c) 60 km/h
Question 9. Two towns are 360 km apart. A car and a bus start from the towns towards each other at 80 km/h and 40 km/h respectively. In how many hours will they meet?
a) 3
b) 3.5
c) 4
d) 4.5
Answer:
c) 3
Question 10. A person covers 60 km at 40 km/h and returns at 60 km/h. What is the average speed for the round trip?
a) 45 km/h
b) 48 km/h
c) 50 km/h
d) 52 km/h
Answer:
b) 48 km/h
Question 11. A bike covers 150 km. If its speed is increased by 25%, it takes 1 hour less. What is the original speed?
a) 40 km/h
b) 50 km/h
c) 60 km/h
d) 75 km/h
Answer:
b) 50 km/h
Question 12. A car covers a distance in 6 hours. If it increases speed by 20%, it takes 1 hour less. What was the original time taken?
a) 5 h
b) 6 h
c) 7 h
d) 8 h
Answer:
b) 6 h
Question 13. A runner covers 3 km in 10 minutes. What is his speed in m/s?
a) 4.5
b) 5
c) 6
d) 7.5
Answer:
b) 5
Question 14. A person travels 1/3 of a journey at 30 km/h and the rest at 45 km/h. If the total time is 8 hours, what is the distance?
a) 300 km
b) 320 km
c) 330 km
d) 360 km
Answer:
c) 330 km
Question 15. A car travels at 72 km/h for 30 minutes and then at 54 km/h for 40 minutes. What is the total distance covered?
a) 54 km
b) 60 km
c) 63 km
d) 66 km
Answer:
c) 63 km
Question 16. A train covers 1.5 km in 2 minutes. What is its speed in km/h?
a) 36
b) 40
c) 45
d) 48
Answer:
c) 45
Question 17. A person goes 24 km downstream in 2 hours and returns upstream in 3 hours. Find the speed of the stream.
a) 2 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h
Answer:
b) 2 km/h
Question 18. A car covers 2/3 of a journey at 60 km/h and the remaining at 40 km/h. What is the average speed?
a) 48 km/h
b) 50 km/h
c) 52 km/h
d) 54 km/h
Answer:
b) 50 km/h
Question 19. A vehicle covers 120 km. If it reduces its speed by 20%, it takes 30 minutes more. What is the original speed?
a) 40 km/h
b) 48 km/h
c) 50 km/h
d) 60 km/h
Answer:
d) 60 km/h
Question 20. A man covers a distance at 30 km/h and returns at 20 km/h. If total time is 5 hours, what is the one-way distance?
a) 50 km
b) 60 km
c) 70 km
d) 80 km
Answer:
b) 60 km
Time and Distance Aptitude Test: Relative Motion + Patterned Movement (20 MCQ Questions)
Question 1. Two trains start from the same station in the same direction at 60 km/h and 75 km/h. The faster train starts 12 minutes later. After how much time from the start of the faster train will it catch the slower one?
a) 36 min
b) 40 min
c) 48 min
d) 60 min
Answer:
c) 48 min
Question 2. Two persons start from points A and B, 60 km apart, and walk towards each other at 5 km/h and 7 km/h. They meet and then continue walking. After how many hours from start will they be 12 km apart again?
a) 4
b) 5
c) 6
d) 7
Answer:
c) 6
Question 3. A runs around a circular track in 6 minutes and B in 8 minutes. If they start together from the same point in the same direction, after how many minutes will they meet again at the starting point?
a) 12
b) 18
c) 24
d) 48
Answer:
c) 24
Question 4. A bus leaves every 15 minutes from a terminal. A man reaches the terminal randomly. What is the probability that he waits less than 5 minutes for the bus?
a) 1/3
b) 1/2
c) 2/3
d) 1/4
Answer:
a) 1/3
Question 5. Two cars start from the same point. One goes north at 60 km/h and another goes east at 80 km/h. After 30 minutes, what is the distance between them?
a) 40 km
b) 45 km
c) 50 km
d) 60 km
Answer:
c) 50 km
Question 6. A and B start from the same point in opposite directions at 6 km/h and 8 km/h. After 2 hours, B turns back and continues in the original direction of A at 10 km/h. After how many more hours will B catch A?
a) 1
b) 1.5
c) 2
d) 2.5
Answer:
b) 1.5
Question 7. A person walks at 5 km/h and runs at 10 km/h. He walks for 30 minutes and then runs for 45 minutes. What is his average speed for the total time?
a) 7 km/h
b) 8 km/h
c) 9 km/h
d) 10 km/h
Answer:
b) 8 km/h
Question 8. Two cyclists start from two towns 90 km apart at 18 km/h and 12 km/h towards each other. One of them takes a break of 15 minutes after 1 hour. When will they meet?
a) 3 h
b) 3 h 15 min
c) 3 h 30 min
d) 4 h
Answer:
c) 3 h 30 min
Question 9. A man rows a boat in still water at 8 km/h. The stream speed is 2 km/h. If he goes 15 km downstream and returns, what is the total time taken?
a) 3.5 h
b) 4 h
c) 4.25 h
d) 4.5 h
Answer:
c) 4.25 h
Question 10. Two runners run on a 400 m track. A completes one round in 80 s and B in 100 s. If they start together in the same direction, after how many seconds will A be exactly one round ahead of B?
a) 320
b) 400
c) 450
d) 500
Answer:
b) 400
Question 11. A person covers 40% of a distance at 20 km/h, next 40% at 30 km/h and remaining 20% at 60 km/h. What is the average speed?
a) 28 km/h
b) 30 km/h
c) 32 km/h
d) 36 km/h
Answer:
c) 30 km/h
Question 12. A car travels the first 120 km at 60 km/h. Due to traffic, its speed reduces by 25% for the next 80 km. What is the total time taken?
a) 4 h
b) 4 h 20 min
c) 4 h 40 min
d) 5 h
Answer:
b) 4 h 20 min
Question 13. Two trains move in the same direction at 90 km/h and 72 km/h. If the faster train is 400 m long and the slower train is 300 m long, how much time will the faster train take to completely overtake the slower train?
a) 80 s
b) 120 s
c) 140 s
d) 160 s
Answer:
b) 140 s
Question 14. A man starts walking from point A to B at 5 km/h. After 2 hours, another man starts from A to B at 8 km/h. If B is 30 km from A, will the second man catch the first before reaching B?
a) Yes, at 20 km
b) Yes, at 24 km
c) No
d) Yes, at 28 km
Answer:
c) No
Question 15. A person walks 5 km uphill at 4 km/h and comes back downhill at 6 km/h. What is his average speed for the entire trip?
a) 4.8 km/h
b) 4.9 km/h
c) 5 km/h
d) 5.2 km/h
Answer:
a) 4.8 km/h
Question 16. A and B are 100 km apart. They start towards each other at 40 km/h and 60 km/h. After meeting, A reduces speed by 20% and B increases speed by 10%. How much time after meeting will they be 50 km apart?
a) 25 min
b) 30 min
c) 35 min
d) 40 min
Answer:
b) 30 min
Question 17. A boat goes 30 km downstream in 2 hours. It comes back upstream in 3 hours. What is the speed of the boat in still water?
a) 10 km/h
b) 12 km/h
c) 14 km/h
d) 15 km/h
Answer:
d) 12.5 km/h
Question 18. Two persons start from the same point and walk in the same direction at 4 km/h and 6 km/h. After 3 hours, the faster person stops for 30 minutes. How much ahead will the slower person be after that stop?
a) 0 km
b) 0.5 km
c) 1 km
d) 1.5 km
Answer:
b) 0.5 km
Question 19. A runner runs 1 km at 12 km/h and then 1 km at 6 km/h. What is his average speed?
a) 8 km/h
b) 9 km/h
c) 10 km/h
d) 7.5 km/h
Answer:
a) 8 km/h
Question 20. Two clocks are set correctly at 12:00. Clock A gains 2 minutes per hour and Clock B loses 1 minute per hour. After how many hours will they show the same time again?
a) 8
b) 10
c) 12
d) 20
Answer:
d) 20
Time and Distance Aptitude Test: Multi-Constraint Word Problems (20 MCQs)
Question 1. A person covers a distance at 40 km/h and returns at 30 km/h. If the total time is 7 hours, find the one-way distance.
a) 100 km
b) 105 km
c) 110 km
d) 120 km
Answer:
b) 105 km
Question 2. A car covers 3/4 of a journey at 60 km/h and the remaining at 40 km/h. If the total time is 5 hours, find the total distance.
a) 240 km
b) 250 km
c) 260 km
d) 270 km
Answer:
b) 250 km
Question 3. A man walks from A to B at 5 km/h and returns from B to A at 4 km/h. If total time is 9 hours, find the distance AB.
a) 20 km
b) 22 km
c) 24 km
d) 25 km
Answer:
c) 20 km
Question 4. A train travels 120 km. Had it travelled 10 km/h faster, it would have taken 30 minutes less. Find its original speed.
a) 30 km/h
b) 40 km/h
c) 50 km/h
d) 60 km/h
Answer:
c) 40 km/h
Question 5. A boat travels 24 km downstream in 2 hours. The return trip upstream takes 3 hours. Find the speed of the stream.
a) 1 km/h
b) 2 km/h
c) 3 km/h
d) 4 km/h
Answer:
b) 2 km/h
Question 6. A man can row 15 km downstream in 1 hour. If the stream speed is 3 km/h, how long will he take to row 15 km upstream?
a) 1.5 h
b) 2 h
c) 2.5 h
d) 3 h
Answer:
c) 2.5 h
Question 7. A person cycles to a destination at 18 km/h and returns at 12 km/h. If the total journey takes 5 hours, find the one-way distance.
a) 30 km
b) 36 km
c) 40 km
d) 45 km
Answer:
b) 36 km
Question 8. A car travels 150 km. It travels the first 90 km at 45 km/h and the rest at 60 km/h. What is the total time taken?
a) 3 h
b) 3 h 10 min
c) 3 h 20 min
d) 3 h 30 min
Answer:
c) 3 h 20 min
Question 9. A runner runs at 10 km/h for 30 minutes, rests for 10 minutes, then runs at 12 km/h for 40 minutes. What is his average speed for the entire duration (including rest)?
a) 7.2 km/h
b) 7.5 km/h
c) 8 km/h
d) 8.4 km/h
Answer:
b) 7.5 km/h
Question 10. Two trains start from the same point at the same time in opposite directions at 72 km/h and 90 km/h. After how many minutes will they be 81 km apart?
a) 25
b) 27
c) 30
d) 33
Answer:
b) 27
Question 11. DATA SUFFICIENCY: What is the speed of a car?
I. It covers 240 km in 4 hours.
II. It covers 300 km in 5 hours.
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient, but neither alone
d) Even together, not sufficient
Answer:
a) Statement I alone is sufficient
Question 12. DATA SUFFICIENCY: Find the distance between A and B.
I. A person covers the distance at 30 km/h and returns at 20 km/h in total 5 hours.
II. He covers A to B in 2 hours.
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient, but neither alone
d) Even together, not sufficient
Answer:
a) Statement I alone is sufficient
Question 13. DATA SUFFICIENCY: Find the speed of the stream.
I. A boat goes 24 km downstream in 2 hours.
II. The boat returns upstream in 3 hours.
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient, but neither alone
d) Even together, not sufficient
Answer:
c) Both statements together are sufficient, but neither alone
Question 14. DATA SUFFICIENCY: Find the average speed of a round trip.
I. Speed while going is 40 km/h.
II. Speed while returning is 60 km/h.
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient, but neither alone
d) Even together, not sufficient
Answer:
c) Both statements together are sufficient, but neither alone
Question 15. A car travels from A to B at 50 km/h. Due to traffic, it returns at 40 km/h and takes 45 minutes more than the onward journey. Find distance AB.
a) 120 km
b) 130 km
c) 140 km
d) 150 km
Answer:
c) 150 km
Question 16. A person travels 30 km by scooter and 60 km by bus. If scooter speed is 20 km/h and bus speed is 40 km/h, what is the average speed for the whole trip?
a) 28 km/h
b) 30 km/h
c) 32 km/h
d) 34 km/h
Answer:
b) 30 km/h
Question 17. A train covers a distance in 4 hours at 60 km/h. If it had to cover the same distance in 3 hours 20 minutes, what should be the new speed?
a) 70 km/h
b) 72 km/h
c) 75 km/h
d) 80 km/h
Answer:
c) 72 km/h
Question 18. A man covers 1/4 of a distance at 24 km/h, 1/2 at 36 km/h and the rest at 48 km/h. What is the average speed?
a) 33 km/h
b) 34.2 km/h
c) 36 km/h
d) 38 km/h
Answer:
b) 34.2 km/h
Question 19. A boat takes 5 hours to go 30 km upstream. It takes 3 hours to return downstream. Find the speed of the stream.
a) 2 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h
Answer:
b) 2 km/h
Question 20. A person walks a certain distance at 5 km/h. Had he walked at 6 km/h, he would have taken 20 minutes less. Find the distance.
a) 10 km
b) 12 km
c) 15 km
d) 18 km
Answer:
b) 10 km
