document.write( "Question 1013735: I can walk 2 mph and jog at 5 mph. I get home from the bus stop 4 minutes quicker if I jog instead of walk. How far do I live from the bus stop? \n" ); document.write( "

Algebra.Com's Answer #630031 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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I can walk 2 mph and jog at 5 mph.
\n" ); document.write( " I get home from the bus stop 4 minutes quicker if I jog instead of walk.
\n" ); document.write( " How far do I live from the bus stop?
\n" ); document.write( ":
\n" ); document.write( "let d = distance to the bus stop
\n" ); document.write( "We are using mph, so time has to be in hrs: 4/60 hrs
\n" ); document.write( ":
\n" ); document.write( "Write a time equation
\n" ); document.write( ":
\n" ); document.write( "walk time - jog time = 4 min
\n" ); document.write( " $\"d%2F2\"$ - $\"d%2F5\"$ = $\"4%2F60\"$
\n" ); document.write( "Multiply equation by 60, cancel out the denominators
\n" ); document.write( "30d - 12d = 4
\n" ); document.write( "18d = 4
\n" ); document.write( "d = 4/18
\n" ); document.write( "d = 2/9 mi to the bus stop
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if this checks out, find the actual speed at each 2/9 ~ .22 mi
\n" ); document.write( ".22/2 = .11 hrs
\n" ); document.write( ".22/5 = .04 hrs
\n" ); document.write( "-------------
\n" ); document.write( "time dif: .07 hrs. .07(60) = 4.2 min, only close because of decimals
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