document.write( "Question 153435: In a walkathon to raise money for a charity Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15 min. How many miles was the walkathon. \n" ); document.write( "

Algebra.Com's Answer #112940 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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In a walkathon to raise money for a charity Elisa walked a certain distance at 5 mi/h and then jogged twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15 min. How many miles was the walkathon.
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\n" ); document.write( "let 3x = miles in the walkathon
\n" ); document.write( "then
\n" ); document.write( "2x = jogging dist
\n" ); document.write( "and
\n" ); document.write( "x = walking dist
\n" ); document.write( ":
\n" ); document.write( "Convert 2 hr 15 min to 2.25 hrs
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = dist/speed
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\n" ); document.write( " $\"x%2F5\"$ + $\"2x%2F8\"$ = 2.25 hrs
\n" ); document.write( "Multiply equation by 40
\n" ); document.write( "8x + 5(2x) = 40(2.25)
\n" ); document.write( ":
\n" ); document.write( "8x + 10x = 90
\n" ); document.write( ":
\n" ); document.write( "18x = 90
\n" ); document.write( "x = $\"90%2F18\"$
\n" ); document.write( "x = 5 mi walking, 10 mi jogging, hence 15 mi is the walkathon
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution:
\n" ); document.write( " $\"5%2F5\"$ + $\"10%2F8\"$
\n" ); document.write( "1 + 1.25 = 2.25
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