Question

Speed of boat in still water is 60% more than speed of current and total time takes by boat to cover certain distance going downstream and upstream is 32 hours. Find the time taken by boat to cover same distance in still water.

A 8(7/8) hours Correct Answer Incorrect Answer
B 9(5/8) hours Correct Answer Incorrect Answer
C 9(1/4) hours Correct Answer Incorrect Answer
D 7(1/2) hours Correct Answer Incorrect Answer
E 9(3/4) hours Correct Answer Incorrect Answer

Solution

Let speed of stream be 5x km/h. And speed of boat in still water = 5x × (160/100) = 8x Let the distance be ‘d’ km. => d/(5x + 8x) + d/(8x – 5x) = 32 => 16d/39x = 32 => d = 78x Required time = 79x/8x = 9(3/4) hours

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