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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.

Answer :

Answer:

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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