A boat traveled 80 miles downstream and back. The trip downstream took 5 hours. The trip back took 8 hours. Find the speed of the boat in still water and the speed of the current.
Please use system of equations to solve and explain.

Speed of boat in still water is  13 miles per hour and speed of current is  3 miles per hour

Step-by-step explanation:

Average speed of down stream = 80/5 = 16 miles / hour

Average speed of up stream = 80/8 = 10 miles / hour

Consider the speed of boat in still water be  x miles per hour and speed of current be  y  miles per hour

As such speed of down stream would be  x + y miles per hour and speed of down stream would be  x - y miles per hour.

x+y = 16

x-y = 10

by solving these two equation, we get

2x=26

x=13 miles per hours

y=16-13

y=3 mils per hours

Hence, the speed of boat in still water is  13 miles per hour and speed of current is  3 miles per hour

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step-by-step explanation:

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