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X, Y are two points in a river. Points P and Q divide the straight line XY into three equal parts. The river flows along XY_andthe
time taken by a boat to row from X to Q and from Y to Q are in the ratio 4 : 5. Theratio of the speed of the boat downstream to
that of the river current is equal to:
3 : 10
10 : 3
3 : 4
4 : 3
- You are given that P and Q divide the straight line XY into three equal parts. Hence, XQ is two-thirds of XY and YQ is one-third of XY.
- The time taken by the boat from X to Q and Y to Q is in the ratio of 4:5.
- Boats travel faster downstream because the river current aids their speed.
- Let's denote the speed of the boat in still water as B and the speed of the river current as R.
- The effective speed of the boat downstream from X to Q is \(B + R\).
- The effective speed of the boat against the current from Y to Q is \(B - R\).
- If the downstream to upstream time ratio for differential distances shows 4:5, solve using the speed relationships to find the downstream to current speed ratio.
- The correct ratio for the speed of the boat downstream to the speed of the river current comes out to be 10:3.
Therefore, Option 2: 10:3 is the correct choice.
By: santosh ProfileResourcesReport error
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