Question 596056: Ed and Allice walked to the dock at 5 miles per hour, jumped into the boat and motored to Destin at 15 miles per hour. If the total distance was 20 miles and the trip took 2 hours in all, how far did they go by boat? Begin by drawing a diagram of distances travelled and writing the distance equation.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Ed and Alice walked to the dock at 5 miles per hour, jumped into the boat and motored to Destin at 15 miles per hour. If the total distance was 20 miles and the trip took 2 hours in all, how far did they go by boat?
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Walk DATA:
rate = 5 mph ; time = x hrs ; distance = 5x miles
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Boat DATA:
rate = 15 mph ; time = 2-x hrs ; distance = 15(2-x) miles
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Equation:
distance + distance = 20 miles
5x + 30-15x = 20
-10x = -10
x = 1 hr (walking time)
2-x = 1 hr (boat time)
Boat distance = 15x = 15 miles
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Cheers,
Stan H.
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