P walks around a circular field at the rate of two rounds per hour while Q runs around it at the rate of eight rounds per hour. They start in the opposite direction from the same point at 6.45 a.m. They shall first cross each other at? a) 6.45 a.m b) 6.50 a.m c) 7.51 a.m d) 6.51 a.m e) 7.45 am

1 Answer

Answer :

d

Since P and Q move in the opposite direction along the circular field, so they will first

meet each other when there is a difference of one round between the two.

Relative speed of P and Q = 8+2 = 10 rounds per hour.

Time taken to complete one round at this speed = 1/10 hr = 6 min.

6 Hrs 45 min + 6 min = 6 hrs 51 min i.e, 6.51 a.m

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