SOLUTION: A boat traveled downstream a distance of 65 mi and then came right back. If the speed of the current was 20 mph and the total trip took 4 hours and 20 minutes, find the average sp
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Question 1046878: A boat traveled downstream a distance of 65 mi and then came right back. If the speed of the current was 20 mph and the total trip took 4 hours and 20 minutes, find the average speed of the boat relative to the water. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the speed of the boat in still water ( no current )
Let = time to go downstream in hrs = time to go upstream in hrs
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Equation for going downstream:
(1)
Equation for going upstream:
(2)
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Substitute (1) into this equation
The average speed of the boat is still water is
40 mi/hr
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check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
Ok
