InterviewSolution
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InterviewSolution
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Two boys P and Q are playing on a river bank. P plans to swim across the river directly and come back. Q plans to swim downstream by a length equal to the width of the river and then come back. Both of them bet each other, claiming that the boy succeeding in less time will win. Assuming the swimming rate of both P and Q to the same, it can be concluded thatA. P winsB. Q winsC. A draw takes placeD. Nothing certain can be stated. |
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Answer» Correct Answer - A a. Let d be the river width and u and v the speeds of water current. for P, time taken `t_1 = (2d)/(sqrt(v^2-u^2))` ……….(i) For `Q`, time taken, `t_2 = d[1/(v+u) + 1/(v-u)]………(ii)` Dividing Eq. (i) by (ii), we get `t_1/t_2 = sqrt (1-(u/v)^2)lt1 rArr t_1ltt_2` . |
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