document.write( "Question 78288: 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. \n" ); document.write( "

Algebra.Com's Answer #56207 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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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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\n" ); document.write( "Let d = distance between the two cities:
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\n" ); document.write( "write a time equation; time = distance/speed
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\n" ); document.write( "Den/Minn time + Minn/Den = 32 hrs
\n" ); document.write( " d/55 + d/50 = 32
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\n" ); document.write( "Multiply equation by 550 to get rid of the denominators, you then have:
\n" ); document.write( "10d + 11d = 550(32)
\n" ); document.write( "21d = 17600
\n" ); document.write( "d = 17600/21
\n" ); document.write( "d = 838.1 miles
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\n" ); document.write( "Check solution of d = 838.1
\n" ); document.write( "838.1/55 + 838.1/50 =
\n" ); document.write( " 15.24 + 16.76 = 32 hrs \n" ); document.write( "

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