<PRE><B>Question 78288</B>
On a vacation, Johny averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 50 mph. What is the distance between the two cities if his total traveling time is 32 hours. 
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Let d = distance between the two cities:
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write a time equation; time = distance/speed
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Den/Minn time  +  Minn/Den = 32 hrs
      d/55 + d/50 = 32
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Multiply equation by 550 to get rid of the denominators, you then have:
10d + 11d = 550(32)
21d = 17600
d = 17600/21
d = 838.1 miles
:
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Check solution of d = 838.1
838.1/55 + 838.1/50 =
  15.24  +  16.76 = 32 hrs</PRE>