# Maria takes a boat upstream for 9 hours. Her return trip downstream only took 6 hours. If the river she is on has a current of 1 mile per hour, how fast does her boat move in still water?

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Asked Feb 10, 2020
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Maria takes a boat upstream for 9 hours. Her return trip downstream only took 6 hours. If the river she is on has a current of 1 mile per hour, how fast does her boat move in still water?

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## Expert Answer

Upstream

Let the velocity of Maria' boat in still water be v miles/hr, and the velocity of the water be vw

The relative velocity of Maria when she is travelling upstream will be

=v − vw

=v − 1

So, the distance travelled upstream in time t = 9 hours, is:

d = (v−1)×9

Downstream

The relative velocity of Maria when she is travelling downstream will be

=v + vw

=v + 1

So, the di...

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