A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same di… — Answer & Discussion

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with a speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

A8:00
B4:00
C6:30
D5:30

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Discussion 1

CCommunity20 Apr 2019

Let the first runner be A and the second runner be B

Distance covered by A from 6:00 am to 8:30 am = 8 × 2.5 = 20 km

Now, the relative speed of B w.r.t. A = 10 - 8 = 2 km/hr

Taking A to be at rest, B has to cover 20 km to catch up to A

Time taken by B to catch up to A = 20/2 = 10 hours

So, Required time = 8:30 am + 10 hours = 6:30 pm