SOLUTION: a motorboat took 2 hours to make a downstream trip with a 5mph current. The return trip against the same current took 4 hours. Find the speed of the boat in still water.

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Question 243576: a motorboat took 2 hours to make a downstream trip with a 5mph current. The return trip against the same current took 4 hours. Find the speed of the boat in still water.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
D=(X+5)*2
D=(X-5)*4
(X+5)*2=(X-5)*4
2X+10=4X-20
2X-4X=-20-10
-2X=-30
X=-30/-2
X=15 MPH IS THE SPEED OF THE BOAT IN STILL WATER.
PROOF:
(15+5)*2=(15-5)*4
20*2=10*4
40=40