Arithmetic

Time, Speed & Distance

Medium

A train passes a 200 m long platform in 40 seconds and a man standing on the platform in 25 seconds. The speed of the train (km/hr) is:

(200/15) km/hr

18 km/hr

48 km/hr

24km/hr

✅ Correct Option: 3

When a train passes a man standing on a platform, it travels a distance equal to its own length. When a train passes a platform completely, it travels a distance equal to its own length plus the platform length.

The difference in distance covered is equal to the platform length.

Time to pass man = 25 seconds

Time to pass platform = 40 seconds

Extra time taken = 40 - 25 = 15 seconds

This extra time is required to cover the platform length of 200 m.

Speed = $\dfrac{\text{Distance}}{\text{Time}}$

Speed = $\dfrac{200}{15}$ m/s

To convert m/s to km/hr, multiply by $\dfrac{18}{5}$ :

Speed = $\dfrac{200}{15} \times \dfrac{18}{5}$

$= \dfrac{200 \times 18}{15 \times 5}$

$= \dfrac{3600}{75}$

$= 48$ km/hr

Therefore, the speed of the train is 48 km/hr.

2022: 8 Aug Shift 1

A and B are two points in a river. Point X and Y divide the line AB in three equal parts. Let the flow of the river is from A to B. The ratio of the time taken to row from point A to Y and from B to Y is 3 : 4. Find the ratio of the speed of the boat upstream to the flow of the river.

2022: 6 Aug Shift 1

A 400 m long train passes a railway platform in 20 seconds with speed 90 km/hr. What is the length of platform?

2022: 20 Aug Shift 1

Viraj swims for $12\frac{1}{2}$ hours while going 24 km down stream and 36 km upstream. But he takes just 12 hours to swim 36 km down steam and 24 km up stream. At what rate is the river flowing ?

2023: 11 June Shift 2

A train running at a speed of 45 km/h crosses a 100 m long platform in 60 seconds. The time taken by the train to cross an electric pole is:

2022: 23 Aug Shift 1

A, B and C are in a cycle race of 1500 meters. A cycles twice as fast as B, C cycles $\frac{1}{2}$ as fast as B, C completes the race in 40 minutes. Then, where was B from the finishing line when A finished the race?

2023: 15 June Shift 2

A boy is running at a speed of $p$ km/h to cover a distance of 1 km but due to slippery ground his speed is reduced by $q$ km/h ( $p > q$ ). If he takes $r$ hours to cover the distance, which of the following condition is true:

A train passes a 200 m long platform in 40 seconds and a man standing on the platform in 25 seconds. The speed of the train (km/hr) is:

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)