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?
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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.