The speed of a stream is 4 mph. A boat travels 11 miles upstream in the same time it takes to travel 19 miles downstream. What is the speed of the boat in still​ water?

Respuesta :

Answer:

The speed of the boat in still water is 15mile/hour

Explanation:

Upstream data:

Distance=11mile , rate = b - 4mph

Time=distance/rate = 11/(b-4)

Downstream data:

Distance =19miles , rate = b + 4mph

Time= distance/rate= 19/(b + 4)

Time upstream = time downstream

11/(b-4) = 19/(b+4)

Cross multiply

11(b+4) = 19 (b-4)

11b + 44 = 19b - 76

Collecting like terms

19b - 11b = 76 +44

8b= 120

b= 120/8 = 15mile/hour

Explanation:

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