document.write( "Question 640045: A bus took a 700 mile trip in 12 hours. The speed was 75 mph for the first part of the trip, and 50 mph for the return trip. How many hours were traveled at each speed? \n" ); document.write( "
Algebra.Com's Answer #403013 by ankor@dixie-net.com(22740)\"\" \"About 
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A bus took a 700 mile trip in 12 hours.
\n" ); document.write( " The speed was 75 mph for the first part of the trip, and 50 mph for the return trip.
\n" ); document.write( " How many hours were traveled at each speed?
\n" ); document.write( ":
\n" ); document.write( "Let t = time in hrs at 75 mph
\n" ); document.write( "The total travel time is given as 12 hrs, therefore
\n" ); document.write( "(12-t) = time at 55 mph
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "75t + 50(12-t) = 700
\n" ); document.write( "75t + 600 - 50t = 700
\n" ); document.write( "75t - 50t = 700 - 600
\n" ); document.write( "25t = 100
\n" ); document.write( "t = 100/25
\n" ); document.write( "t = 4 hrs at 75 mph
\n" ); document.write( "then
\n" ); document.write( "12-4 = 8 hrs at 50 mph
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this by finding the distance at each speed
\n" ); document.write( "4(75) = 300 mi
\n" ); document.write( "8(50) = 400 mi
\n" ); document.write( "--------------
\n" ); document.write( "total: 700 mi
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