document.write( "Question 406661: Jeff leaves home on his bicycle and rides out into the country for 3 hours. On his return trip, along the same route, it takes him three-quarters of an hour longer. If his rate on the return trip was 2 miles per hour slower than on the trip out of the country, find the total roundtrip distance. \n" ); document.write( "
Algebra.Com's Answer #286983 by ankor@dixie-net.com(22740)\"\" \"About 
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Jeff leaves home on his bicycle and rides out into the country for 3 hours.
\n" ); document.write( " On his return trip, along the same route, it takes him three-quarters of an hour longer.
\n" ); document.write( " If his rate on the return trip was 2 miles per hour slower than on the trip out of the country, find the total round trip distance.
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\n" ); document.write( "Let r = his rate going out
\n" ); document.write( "then
\n" ); document.write( "(r-2) = his rate returning
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\n" ); document.write( "Convert 3 hr 45 min to 3.75 hrs (45/60=.75)
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\n" ); document.write( "Write dist equation: dist = time * speed
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\n" ); document.write( "return dist = outbound dist
\n" ); document.write( "3.75(r-2) = 3r
\n" ); document.write( "3.75r - 7.5 = 3r
\n" ); document.write( "3.75f - 3r = 7.5
\n" ); document.write( ".75r = 7.5/.75
\n" ); document.write( "r = 10 mph is his outbound speed
\n" ); document.write( "then
\n" ); document.write( "8 mph is his return speed (2mph less)
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\n" ); document.write( "Total dist: 3(10) + 3.75(8) =
\n" ); document.write( "30 + 30 = 60 miles round trip dist\r
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