SOLUTION: Connie and Ron walked to a dock at 3 miles per hour, jumped into a boat, and motored to Dillion at 10 miles per hour. If the total distance was 48 miles and the trip took 7.25 hou

Question 85584: Connie and Ron walked to a dock at 3 miles per hour, jumped into a boat, and motored to Dillion at 10 miles per hour. If the total distance was 48 miles and the trip took 7.25 hours in all, how far did they go by boat?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Connie and Ron walked to a dock at 3 miles per hour, jumped into a boat, and motored to Dillion at 10 miles per hour. If the total distance was 48 miles and the trip took 7.25 hours in all, how far did they go by boat?
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Walking DATA:
distance = x miles ; rate = 3 mph ; time = d/r = x/3 hours
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boating DATA:
distance = "48-x" miles ; rate = 10 mph ; time = d/r = (48-x)/10 hours
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EQUATION:
time + time = 7.25 hours
x/3 + (48-x)/10 = 7.25
10x + 3(48-x) = 217.5
10x + 144 - 3x = 217.5
7x = 73.5
x = 10.5 miles (distance they walked)
48-x = 37.5 miles (distance by boat)
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Cheers,
Stan H.
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