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A runs four times as fast as B. If A gives B a start of 90 meters, how far must the goal on the race course be so that A and B reach it at the same time ?

Solution

✅ Correct Option: 3

Let the course be dd metres. In equal time A covers dd and B covers d−90d-90, and A is four times as fast, so d4=d−90\dfrac{d}{4}=d-90. Then 3d=3603d=360 and d=120d=120 metres.

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