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 #686134 by MathTherapy(10551) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "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( "

Let time taken to ride home, be T
\n" );
document.write( "Then time taken, by skateboard = T + 2
\n" );
document.write( "We then get the following SPEED equation:  ======> 
\n" );
document.write( "   24T = 12(T + 2) -------- Cross-multiplying
\n" );
document.write( "12(2T) = 12(T + 2)______12(2T) = 12(T + 2)
\n" );
document.write( "    2T = T + 2_____2T - T = 2
\n" );
document.write( "Time taken to ride home, or T =  \n" );
document.write( "

\n" );