document.write( "Question 543142: Jane rides her bike to lake Junaluska. Going to the lake, she averages 12 mph. On the return, she averages 10 mph hour. The round trip takes 5.5 hours, how long does the return trip take? \n" ); document.write( "

Algebra.Com's Answer #354885 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Going to the lake, she averages 12 mph.
\n" ); document.write( "On the return, she averages 10 mph hour.
\n" ); document.write( " The round trip takes 5.5 hours, how long does the return trip take?
\n" ); document.write( ":
\n" ); document.write( "Find the distance first, they we can easily find the time of the return trip
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\n" ); document.write( "Let d = the one-way distance
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\n" ); document.write( "Write a time equation; time = dist/speed
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\n" ); document.write( "To time + return time = 5.5 hrs
\n" ); document.write( " $\"d%2F12\"$ + $\"d%2F10\"$ = 5.5
\n" ); document.write( "Clear the denominators, multiply by 60
\n" ); document.write( "60* $\"d%2F12\"$ + 60* $\"d%2F10\"$ = 60(5.5)
\n" ); document.write( "Cancel the denominators, and we have:
\n" ); document.write( "5d + 6d = 330
\n" ); document.write( "11d = 330
\n" ); document.write( "d = 330/11
\n" ); document.write( "d = 30 miles
\n" ); document.write( ":
\n" ); document.write( "Find the return time:
\n" ); document.write( " $\"30%2F10\"$ = 3 hrs
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\n" ); document.write( "Check solution by finding the total time
\n" ); document.write( " $\"30%2F12\"$ + $\"30%2F10\"$ =
\n" ); document.write( "2.5 + 3 = 5.5 \n" ); document.write( "

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