SOLUTION: Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav comp
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Question 1179043: Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track? Answer by ikleyn(52767) (Show Source):
From the condition, Bahir covered 500 m at the same time as Arav covered 400 m.
So, their speeds ratio is = = = .
It means that when Bahir will cover 5 lapses, Arav will cover 4 lapses,
so they will be at the starting point simultaneously at this time moment.
It gives you the ANSWER to the problem's question:
Arav will complete 4 lapses,
when Bahir reaches him from behind on the track,
completing his (Bahir's) 5-th laps.
