# A boat in a river travels downstream between 2 points, 50miles apart, in 1 hour. The return trip against the current takes 2.5 hours. What is the boats speed (in still water) ?

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A boat in a river travels downstream between 2 points, 50miles apart, in 1 hour. The return trip against the current takes 2.5 hours. What is the boats speed (in still water) ?

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Step 1

For the boat's first trip, i.e. the boat travelling downstream will have the speed of the current added to the speed of the boat. This is because the current and the boat are moving in the same direction.

For the return trip, the speed of the current will be subtracted from the speed of the boat as the direction is different.

To Find: Speed of boat in still water.

Step 2

The conditions given in the question can be put in equation as below:

Step 3

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