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A man rows 8 km/hr in still water. If the river is running at 2km/hr, it takes 32 minutes to row to a place and back. How far is the placeSelect one:a. 1·5 kmb. 2·5 kmc. 2 kmd. 3 km

Question

A man rows 8 km/hr in still water. If the river is running at 2km/hr, it takes 32 minutes to row to a place and back. How far is the placeSelect one:a. 1·5 kmb. 2·5 kmc. 2 kmd. 3 km

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Solution

To solve this problem, we need to understand that the speed of the man in still water and the speed of the river will affect the speed of the man rowing up and down the river.

  1. When the man is rowing against the current (upstream), his effective speed is his rowing speed minus the speed of the river. So, his upstream speed is 8 km/hr - 2 km/hr = 6 km/hr.

  2. When the man is rowing with the current (downstream), his effective speed is his rowing speed plus the speed of the river. So, his downstream speed is 8 km/hr + 2 km/hr = 10 km/hr.

  3. The total time taken for the man to row to a place and back is 32 minutes, which is 32/60 = 0.53 hours.

  4. Let's denote the distance to the place as 'd'. The total time taken is the sum of the time taken to row upstream and downstream. We know that time = distance/speed. So, we can write the equation as d/6 (upstream) + d/10 (downstream) = 0.53.

  5. Solving this equation for 'd' gives us d = 2 km.

So, the answer is c. 2 km.

This problem has been solved

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