A boat traveled 100 miles downstream and back the trip downstream took five hours the trip back to 10 hours what is the speed of the boat in Stillwater what is the speed of the current

boat: 15 mph current: 5 mph

Step-by-step explanation:

The relation between time, speed, and distance is ...

speed = distance/time

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The speed downstream is ...

downstream speed = (100 mi) / (5 h) = 20 mi/h

The speed upstream is ...

upstream speed = (100 mi) / (10 h) = 10 mi/h

The boat's speed in still water is the average of these:

boat speed = ((downstream speed) + (upstream speed)) / 2 = (20 + 10) / 2 mi/h

boat speed = 15 mi/h

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The speed of the current is the difference between the travel speed and the boat speed:

current speed = downstream speed - boat speed

= (20 mi/h) - (15 mi/h)

current speed = 5 mi/h