<PRE><B>Question 99946</B>
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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Let d = distance to the nearby town
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Write a time equation: Time = Distance/speed
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Time to + time back = 4.9
{{{d/24}}} + {{{d/18}}} = 4.9
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Choose a multiple of both denominators, multiply equation by 72:
72*{{{d/24}}} + 72*{{{d/18}}} = 72(4.9)
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Cancel out the denominators:
3d + 4d = 352.8
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d = 352.8/7
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d = 50.4 mi; which is what you got.  Way-to-Go!!!
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