a boat moves 8 kilometers upstream in the same amount of time it moves 20 kilometers downstream. if the rate of the current is 5 kilometers per hour, find the rate of the boat in still water.

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09-12-2022
Mathematics

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a boat moves 8 kilometers upstream in the same amount of time it moves 20 kilometers downstream. if the rate of the current is 5 kilometers per hour, find the rate of the boat in still water.

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-17T05:53:56-05:00

if the rate of the current is 5 kilometers per hour, The rate of the boat in still water is 15 km/h.

The rate of the boat in still water is the rate of the boat when the current is not affecting its motion, so we can calculate the rate of the boat in still water by subtracting the rate of the current from the rate of the boat while moving downstream and adding the rate of the current to the rate of the boat while moving upstream. In this case, the rate of the boat while moving upstream is 8 km/h, and the rate of the boat while moving downstream is 20 km/h. Since the rate of the current is 5 km/h, we can subtract 5 km/h from 20 km/h to get the rate of the boat in still water, which is 15 km/h.

Rate of boat in still water = Rate of boat while moving downstream - Rate of current + Rate of boat while moving upstream

= 20 km/h - 5 km/h + 8 km/h

= 15 km/h

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