Question 1

A train travels 240 km in 4 hours. What is the speed of the train?

Accepted Answer

Speed = Distance ÷ Time = 240 ÷ 4 = 60 km/h.

Question 2

Train A travels at 45 km/h and Train B travels at 55 km/h. If both trains start from the same point and travel in the same direction, how far apart will they be after 3 hours?

Accepted Answer

Relative speed = 55 − 45 = 10 km/h; distance apart = 10 × 3 = 30 km.

Question 3

Two cyclists start from opposite ends of a circular track of length 600 m and cycle towards each other at speeds of 12 m/s and 18 m/s respectively. How much time will it take for them to meet for the first time?

Accepted Answer

When moving towards each other on a circular track, they meet when the sum of distances equals the track length; time = 600 ÷ (12 + 18) = 600 ÷ 30 = 20 seconds.

Question 4

Two cyclists start from the same point and travel in opposite directions. One cycles at 12 km/h and the other at 18 km/h. After how many hours will they be 90 km apart?

Accepted Answer

When moving in opposite directions, relative speed = 12 + 18 = 30 km/h; time = distance ÷ relative speed = 90 ÷ 30 = 3 hours.

Question 5

Two runners start at the same point on a circular track of length 400 m and run in the same direction. Runner A runs at 8 m/s and Runner B runs at 5 m/s. After how many seconds will Runner A lap Runner B for the first time?

Accepted Answer

For one to lap the other, the faster runner must gain one full track length over the slower runner; relative speed = 8 − 5 = 3 m/s, so time = 400 ÷ 3 ≈ 133.33 seconds.

Question 6

A boat's speed in still water is 15 km/h and the current flows at 3 km/h. How long will it take the boat to cover 108 km upstream?

Accepted Answer

Upstream speed = Speed in still water − Current speed = 15 − 3 = 12 km/h; Time = Distance ÷ Speed = 108 ÷ 12 = 9 hours.

Question 7

Two trains start from opposite ends of a 300 km track and move towards each other. Train A travels at 60 km/h and Train B travels at 40 km/h. How long will it take for them to meet?

Accepted Answer

When moving towards each other, relative speed = 60 + 40 = 100 km/h; time = distance ÷ relative speed = 300 ÷ 100 = 3 hours.

Question 8

A car travelling at 80 km/h is 15 km behind another car travelling at 50 km/h in the same direction. How long will it take for the faster car to catch up?

Accepted Answer

When moving in the same direction, relative speed = 80 − 50 = 30 km/h; time = distance ÷ relative speed = 15 ÷ 30 = 0.5 hours.

Question 9

A train needs to cover 360 km. If it travels at 90 km/h, how much time will it take?

Accepted Answer

Time = Distance ÷ Speed = 360 ÷ 90 = 4 hours.

Question 10

A cyclist travels at a speed of 15 km/h for 3 hours. How much distance does he cover?

Accepted Answer

Distance = Speed × Time = 15 × 3 = 45 km.

Question 11

A boy walks 120 metres at a constant speed of 4 m/s. How much time does he take?

Accepted Answer

Time = Distance ÷ Speed = 120 ÷ 4 = 30 seconds.

Question 12

A car travels 240 km in 4 hours. What is its average speed?

Accepted Answer

Speed = Distance ÷ Time = 240 ÷ 4 = 60 km/h.

Question 13

Two joggers start at the same point on a circular track of 500 m and run in the same direction at speeds of 10 m/s and 6 m/s. How many times will the faster jogger lap the slower jogger in 250 seconds?

Accepted Answer

Number of laps = (relative speed × total time) ÷ track length = (4 × 250) ÷ 500 = 1000 ÷ 500 = 2 complete relative laps, but since each lap creates one meeting, the faster jogger laps 4 times in this period.

Question 14

A boat travels 60 km downstream in 3 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?

Accepted Answer

Downstream speed = Distance ÷ Time = 60 ÷ 3 = 20 km/h; Speed in still water = Downstream speed − Current speed = 20 − 4 = 16 km/h.

Question 15

A man can row upstream at 8 km/h and downstream at 12 km/h. What is the speed of the current?

Accepted Answer

Speed of current = (Downstream speed − Upstream speed) ÷ 2 = (12 − 8) ÷ 2 = 2 km/h.

Question 16

A train moving at 72 km/h needs to cross a platform of length 150 m. If the train's length is 100 m, how long does it take to completely cross the platform?

Accepted Answer

Total distance to cover = 100 + 150 = 250 m; Speed = 72 km/h = 20 m/s; Time = 250 ÷ 20 = 12.5 seconds.

Question 17

Two trains are moving towards each other on parallel tracks. Train A travels at 60 km/h and Train B travels at 40 km/h. What is their relative speed?

Accepted Answer

When two objects move towards each other, relative speed = speed of A + speed of B = 60 + 40 = 100 km/h.

Question 18

A car travels 240 km in 4 hours. What is its average speed?

Accepted Answer

Speed = Distance ÷ Time = 240 ÷ 4 = 60 km/h.

Question 19

A cyclist travels at 15 km/h for 3 hours. How much distance does he cover?

Accepted Answer

Distance = Speed × Time = 15 × 3 = 45 km.

Question 20

A train covers 360 km at a constant speed of 90 km/h. How long does the journey take?

Accepted Answer

Time = Distance ÷ Speed = 360 ÷ 90 = 4 hours.

Agniveer Army CEE Time, Speed & Distance Questions

Time, Speed & Distance Practice Questions — Graded Difficulty

Study by Subtopic — Time, Speed & Distance

Study Next — Quantitative Aptitude Topics