document.write( "Question 1071216: Reena rode her skateboard to her uncle's house, 12 miles away. A wheel broke just as she arrived, so Reena borrowed her uncle's bicycle to return home. Traveling by bicycle, she was able to go twice as fast, and returned home in 2 hours less time than it took to go to her uncle's house. How long did it take Reena to get home on the bicycle? \n" ); document.write( "
Algebra.Com's Answer #686129 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = her speed skateboarding to uncle's house
\n" ); document.write( "\"+2s+\" = her speed biking home
\n" ); document.write( "Let \"+t+\" = time in hrs to skateboard to uncle's house
\n" ); document.write( "\"+t+-+2+\" = time in hrs to return home by bike
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "Equation for skateboarding:
\n" ); document.write( "(1) \"+12+=+s%2At+\"
\n" ); document.write( "Equation for biking:
\n" ); document.write( "(2) \"+12+=+2s%2A%28+t+-+2+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+s+=+12%2Ft+\"
\n" ); document.write( "Plug this result into (2)
\n" ); document.write( "(2) \"+12+=+2%2A%28+12%2Ft+%29%2A%28+t+-+2+%29+\"
\n" ); document.write( "(2) \"+6+=+12+-+24%2Ft+\"
\n" ); document.write( "(2) \"+6+=+24%2Ft+\"
\n" ); document.write( "(2) \"+6t+=+24+\"
\n" ); document.write( "(2) \"+t+=+4+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(1) \"+12+=+s%2A4+\"
\n" ); document.write( "(1) \"+s+=+3+\" mi/hr
\n" ); document.write( "----------------------
\n" ); document.write( "\"+t+-+2+=+4+-+2+\"
\n" ); document.write( "\"+t+-+2+=+2+\"
\n" ); document.write( "It took her 2 hrs to get home by bike
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+12+=+2s%2A%28+t+-+2+%29+\"
\n" ); document.write( "(2) \"+12+=+2%2A3%2A%28+4+-+2+%29+\"
\n" ); document.write( "(2) \"+12+=+6%2A2+\"
\n" ); document.write( "(2) \"+12+=+12+\"
\n" ); document.write( "OK\r
\n" ); document.write( "
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