document.write( "Question 388649: 4. A cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward journey. What is the distance between the villages? \n" ); document.write( "

Algebra.Com's Answer #275038 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A cyclist goes from one village to another at 28 km/h. he returns at 24 km/h.
\n" ); document.write( " if the return journey takes two hours longer than the outward journey.
\n" ); document.write( " What is the distance between the villages?
\n" ); document.write( ":
\n" ); document.write( "Let d = the distance between the villages
\n" ); document.write( ":
\n" ); document.write( "Write a time equation, Time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "Return time - go time = 2 hrs
\n" ); document.write( " $\"d%2F24\"$ - $\"d%2F28\"$ = 2
\n" ); document.write( "Least common multiple is 168, multiply by that, resulting in:
\n" ); document.write( "7d - 6d = 2(168)
\n" ); document.write( "d = 336 km between the villages
\n" ); document.write( ":
\n" ); document.write( "Confirm this by finding the times
\n" ); document.write( "336/24 = 14 hrs
\n" ); document.write( "336/28 = 12 hrs
\n" ); document.write( "-----------------
\n" ); document.write( "time dif: 2 hrs
\n" ); document.write( " \n" ); document.write( "

\n" );