Train

Algebra Level 1

A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?

400 320 180 265

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Maggie Miller
Jul 18, 2015

From the motorbike's frame of reference, the motorbike is standing still and the train is moving at a rate of 36 36 kmph. The length of the train is the distance traveled by the train while overtaking the bike. Therefore, the length of the train is 36 km 1 hr ⋅ 40 s = 36000 m 3600 s ⋅ 40 s = 400 m \frac{36\text{ km}}{1\text{ hr}}\cdot 40\text{ s}=\frac{36000\text{ m}}{3600 \text{ s}}\cdot 40\text{ s}=400\text{ m}

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