document.write( "Question 177422: It took Emily 25 min to ride her bike to the repair shop and 1h 15 min to walk back home. If she can ride her bike 8km/h faster than she can walk, how far is the repair shop from her house. \n" ); document.write( "
Algebra.Com's Answer #132459 by stanbon(75887)\"\" \"About 
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It took Emily 25 min to ride her bike to the repair shop and 1h 15 min to walk back home. If she can ride her bike 8km/h faster than she can walk, how far is the repair shop from her house.
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\n" ); document.write( "Riding DATA:
\n" ); document.write( "time = 25/60 = 5/12 hr ; rate = (r+8)km/h ; distance = rt = (5/12)(r+8) km
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\n" ); document.write( "Walking DATA:
\n" ); document.write( "time = 5/4 hr ; rate = r km/h ; distance = rt = (5/4)r km
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\n" ); document.write( "Equation:
\n" ); document.write( "ride distance = walk distance
\n" ); document.write( "(5/12)(r+8) = (5/4)r
\n" ); document.write( "(1/12)(r+8) = (1/4)r
\n" ); document.write( "r+8 = 3
\n" ); document.write( "2r = 8
\n" ); document.write( "r = 4 km/h
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\n" ); document.write( "walking distance = (5/4)r = (5/4)4 = 5 km
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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