Arithmetic

Time, Speed & Distance

Medium

A train running at a speed of 54 km/hr crosses a platform which is double of the length of the train in 18 seconds. What is the length of the platform and train?

180 m and 90 m

90 m and 180 m

70 m and 140 m

140 m and 70 m

✅ Correct Option: 1

Speed $= 54 \times \frac{5}{18} = 15$ m/s. Total distance $= 15 \times 18 = 270$ m. If train is $x$ , platform is $2x$ , so $3x = 270$ , $x = 90$ . Train $= 90$ m, platform $= 180$ m.

2022: 20 Aug Shift 1

A train running at a speed 360 km/hr passes a platform with double length in 30 sec. Find the length of platform.

2025: 3 June Shift 2

Amit is walking at a speed of 10 km/hr. After every kilometer, he takes a rest for 5 minutes. What is the time taken to cover a distance of 5 kilometers by Amit?

2026: 14 May Shift 1

The ratio between the speeds of two train is 2 : 5. If the first train runs 350 km in 5 hours, then the difference between the speeds (in kmph) of both the trains is:

2025: 19 May Shift 2

Piyush covers a certain distance on bike. Had he moved 3 km/h faster, he would have taken 20 min less. If he had moved 2 km/h slower, he would have taken 20 min more. The distance covered (in km) is:

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:

2023: 21 May Shift 1

Which of the following speeds is the least?

A train running at a speed of 54 km/hr crosses a platform which is double of the length of the train in 18 seconds. What is the length of the platform and train?

Solution

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