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A and B are two points in a river. Point X and Y divide the line AB in three equal parts. Let the flow of the river is from A to B. The ratio of the time taken to row from point A to Y and from B to Y is 3 : 4. Find the ratio of the speed of the boat upstream to the flow of the river.

Solution

Correct Option: 2

Let each part be d, boat speed x, stream y. Time A to Y (downstream 2d) = 2d/(x+y); time B to Y (upstream d) = d/(x-y). Ratio 3:4 gives 8d(x-y) = 3d(x+y), so 5x = 11y. Then upstream speed (x-y) to flow y = 6:5.

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