SOLUTION: A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 44 miles upstream and then returning. The total time for the trip was 7.5 ho

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Question 1156610: A motorboat maintained a constant speed of 15

miles per hour relative to the water in going 44

miles upstream and then returning. The total time for the trip was 7.5

hours. Use this information to find the speed of the current.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                   SPEED        TIME          DISTANCE

UP                  15-c        44/(15-c)        44

RETURN              15+c        44/(15+c)        44

TOTAL                            7.5

44%2F%2815-c%29%2B44%2F%2815%2Bc%29=7.5
.
.
c=sqrt%28%287.5%2A15%5E2-2%2A44%2A15%29%2F7.5%29

highlight%28c=7%29