document.write( "Question 257172: a student rode a bicycle to the repair shop and then walked home. The student averaged 14 mph riding to the shop and 3.5 walking home. The round trip took 1 hr. How far is it from the students home to the repair shop \n" ); document.write( "

Algebra.Com's Answer #189140 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a student rode a bicycle to the repair shop and then walked home.
\n" ); document.write( "The student averaged 14 mph riding to the shop and 3.5 walking home.
\n" ); document.write( " The round trip took 1 hr. How far is it from the students home to the repair shop
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\n" ); document.write( "Let d = dist to the shop
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\n" ); document.write( "Write a time equation: Time = dist/speed
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\n" ); document.write( "Time to + time back = 1 hr
\n" ); document.write( " $\"d%2F14\"$ + $\"d%2F3.5\"$ = 1
\n" ); document.write( "Multiply by 14 to get rid of the denominator, results:
\n" ); document.write( "d + 4d = 14
\n" ); document.write( "5d = 14
\n" ); document.write( "d = $\"14%2F5\"$
\n" ); document.write( "d = 2.8 mi to the shop
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\n" ); document.write( "Check:
\n" ); document.write( "2.8/14 + 2.8/3.5
\n" ); document.write( ".2 + .8 = 1 hr
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