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"P" walks around a circular field at the rate of one round per hour while "Q" runs around a circular field at the rate of six rounds per hour. They start in the same hour. They start in the same direction from the same point at 7:30 am. They shall first cross each other at;

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7 : 42 a.m.

7 : 48 a.m

8 : 10 a.m.

8:30 a.m.

answer is A.

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Detailed Solution

Relative speed P and Q $\Rightarrow$ 6 – 1 =5 rounds/hrs

time taken to complete at this speed = $\frac{1}{5} h r s = 12 \min$

$∴ 7 : 30 + 12 \min \Rightarrow 7 : 42 \min \to T h e y f i r s t c r o s s e a c h o t h e r$

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