document.write( "Question 262893: In a walk-a-thon to raise money for charity, Elisa walked a certain distance at 5 mph and then jogged twice that distance at 8 mph. Her total time walking and jogging was 2 hours and 15 minutes. How far did Elisa get? \n" ); document.write( "

Algebra.Com's Answer #193682 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Elisa walked a certain distance at 5 mph and then jogged twice that distance at 8 mph.
\n" ); document.write( "Her total time walking and jogging was 2 hours and 15 minutes.
\n" ); document.write( " How far did Elisa get?
\n" ); document.write( ":
\n" ); document.write( "let d = her walking distance
\n" ); document.write( "then
\n" ); document.write( "2d = her jogging dist
\n" ); document.write( "and
\n" ); document.write( "3d = total distance
\n" ); document.write( ":
\n" ); document.write( "Change 2 hr 15 min to 2.25 hrs
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "Walk time + jog time = total time
\n" ); document.write( " $\"d%2F5\"$ + $\"%282d%29%2F8\"$ = 2.25
\n" ); document.write( "Multiply by 40, results:
\n" ); document.write( "8d + 5(2d) = 40(2.25)
\n" ); document.write( "8d + 10d = 90
\n" ); document.write( "18d = 90
\n" ); document.write( "d = $\"90%2F18\"$
\n" ); document.write( "d = 5 mi, walking
\n" ); document.write( "then
\n" ); document.write( "3(5) = 15 mi total dist
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check, find the time
\n" ); document.write( "5/5 + 10/8 =
\n" ); document.write( "1 + 1.25 = 2.25
\n" ); document.write( " \n" ); document.write( "

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