document.write( "Question 1010582: A cyclist leaves home at 7:30 am to cycle to school 7km away. He cycles at 10km/h until he gets a flat tire and then walks the rest of the way at 3km/h. He arrives at school at 8:40 am. How far did he have to push his bicycle? \n" ); document.write( "

Algebra.Com's Answer #626030 by stanbon(75887) $\"\"$ $\"About$

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A cyclist leaves home at 7:30 am to cycle to school 7km away. He cycles at 10km/h until he gets a flat tire and then walks the rest of the way at 3km/h. He arrives at school at 8:40 am. How far did he have to push his bicycle?
\n" ); document.write( "------
\n" ); document.write( "1st leg DATA:
\n" ); document.write( "distance = x km ; rate = 10 km/hr ; time = x/10 hrs
\n" ); document.write( "----
\n" ); document.write( "2nd leg DATA:
\n" ); document.write( "distance = 7-x km ; rate = 3 km/hr ; time = (7-x)/3 hrs
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = (7/6)hr
\n" ); document.write( "-----
\n" ); document.write( "x/10 + (7-x)/3 = 7/6
\n" ); document.write( "-----
\n" ); document.write( "3*6x + 6*10*7 - 6*10x = 10*3*7
\n" ); document.write( "-------
\n" ); document.write( "18x + 420 - 60x = 210
\n" ); document.write( "------
\n" ); document.write( "-42x = -210
\n" ); document.write( "-----
\n" ); document.write( "x = 5 (cycle rate)
\n" ); document.write( "7-x = 2 (walk rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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