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The speed of a stream is 5 mph. A boat travels 2 miles upstream in the same time it takes to travel 12 miles downstream. What is the speed of the boat in still water?

 Mar 7, 2021
 #1
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time = distance/speed

 

speed in still water = v

 

net speed upstream = v - 5

 

net speed downstream = 5 + v

 

So:  2/(v-5) = 12/(5 + v)

 

Can you take it from here? 

 Mar 7, 2021
edited by Alan  Mar 7, 2021
edited by Alan  Mar 7, 2021
 #2
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[12  +  2] / 2 = 7 mph - speed of the boat in still water.

 

Check: 7 - 5 = 2 mph - its speed upstream

             7 + 5=12 mph - its speed downstream.

 Mar 7, 2021

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