SOLUTION: I have no clue how to solve this- PLEASE HELP ME! A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round tr

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Question 92134: I have no clue how to solve this- PLEASE HELP ME!
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
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To the town DATA:
distance = x miles ; rate = 24 mph ; time = d/r = x/24 hrs.
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From the town DATA;
distance = x miles ; rate = 18 mph ; time d/r = x/18 hrs
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EQUATION:
time + time = 4.9 hrs
x/24 + x/18 = 4.9
(18x+24x)/(24*18) = 4.9
42x = 24*18*4.9
42x = 2116.8
x = 50.4 miles (distance to the nearby town)
==================
Cheers,
Stan H.