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Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat

🗓 Sep 13, 2024

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Anonymous 🌐 India
A and B run around a circular track. A laps B in the middle of the 5th lap. i.e. when A has run four and a half laps he has covered a distance which is 1 lap greater than that covered by B's.

Therefore, when A runs 9/2 laps, B runs 7/2 laps.

This is same as saying when A runs 9 laps, B runs 7 laps.

i.e in a race that is 9 laps long, A can give B a start of 2 laps.

So, if the race is of 3000 metres long, then A can give B a start of
(2/9)×3000= 666.67 metres.
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