SOLUTION: A boat traveled downstream a distance of 44 miles and then came right back. If the speed of the current was 5 mph and the total trip took 3 hours and 40 min, find the average speed

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Question 987652: A boat traveled downstream a distance of 44 miles and then came right back. If the speed of the current was 5 mph and the total trip took 3 hours and 40 min, find the average speed of the boat relative to the water.
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
A boat traveled downstream a distance of d miles and then came right back. If the speed of the current was c mph and the total trip took t hours, find the average speed r of the boat relative to the water.

RT=D relates speed, time, and distance. 
                   speed     time    distance
DOWNSTREAM         r+c       ()       d
UPSTREAM           r-c       ()       d
Total                         t

                   speed     time       distance
DOWNSTREAM         r+c       d/(r+c)      d
UPSTREAM           r-c       d/(r-c)      d
Total                         t


Solve for r.

Evaluate according to .
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