A Train Travelling at 100 kmph Overtakes a Motorbike Travelling at 64 GMAT Problem Solving

Question: A train travelling at 100 kmph overtakes a motorbike travelling at 64 kmph in 40 seconds. What is the length of the train in metres?

1. 400 metres
2. 1111 metres
3. 1777 metres
4. 1822 metres
5. None of these

Correct Answer: A

Solution and Explanation
Approach Solution 1:
This question has only 1 model answer

The given case states that a train is travelling at a speed of100 km/h that overtakes a motorbike travelling at a speed of 64 km/h in 40 seconds.
To find out the length of the train in metres, it is important that the relative speed of the train is considered to be the speed of the motorbike. In relevance to this, the length of the train is covered with the speed of the train which is covered in 40 seconds.
Given that the speed of the train is 100 km/h and that of the bike is 64 km/h, the relative speed can be calculated as

100 - 64 = 36 km/h

Given that the time taken is 40 seconds, this can be implied as = 40/3600 hrs

To find the length of the train, the distance covered by the train needs to be calculated in 40 seconds. This implies

Distance = speed * time

Distance = 36 * 40/3600 hrs

Distance = 4 kms

Distance = 400 metres

Hence, the length of the train based on the distance covered by the train in 40 seconds can be evaluated as 400 metres which implies for option A.

“A train travelling at 100 kmph overtakes a motorbike travelling at 64”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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