document.write( "Question 88072: I have to solve this proble and show equation but I do not know where to start could you help me please?\r
\n" ); document.write( "\n" ); document.write( "Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina? \n" ); document.write( "
Algebra.Com's Answer #64259 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
I have to solve this proble and show equation but I do not
\n" ); document.write( "know where to start could you help me please?
\n" ); document.write( "Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h.
\n" ); document.write( "Two hours later, John leaves, driving at the rate of 48 mi/h.
\n" ); document.write( "At what time will John catch up with Martina?
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document.write( "You can do this in your head, but I'll do it by\r\n" );
document.write( "algebra as well. \r\n" );
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document.write( "How to do it in your head:\r\n" );
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document.write( "at 11AM, when John leaves, Martina is already \r\n" );
document.write( "48 miles down the road, since she has pedaled \r\n" );
document.write( "at the (break-neck) speed of 24 mi/hr on a \r\n" );
document.write( "bicycle for two hours!  So John, driving at \r\n" );
document.write( "48 mi/hr is approaching her at 24 mi/hr, so he \r\n" );
document.write( "has to make up her 48 mile lead at 24 mi/hr\r\n" );
document.write( "approach rate, so it'll obviously take him 2 \r\n" );
document.write( "hours, and 2 hours past 11AM is 1PM.\r\n" );
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document.write( "How to do it by algebra.  Make this chart:\r\n" );
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document.write( "            DISTANCE     RATE     TIME\r\n" );
document.write( "Martina                                 \r\n" );
document.write( "John                                   \r\n" );
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document.write( "Let the answer be t. So write t for John's \r\n" );
document.write( "catch-up time\r\n" );
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document.write( "            DISTANCE     RATE     TIME\r\n" );
document.write( "Martina                               \r\n" );
document.write( "John                                t\r\n" );
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document.write( "Since Martina has a 2-hour head start, her \r\n" );
document.write( "time is t+2. So fill that in:\r\n" );
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document.write( "            DISTANCE     RATE     TIME\r\n" );
document.write( "Martina                            t+2\r\n" );
document.write( "John                                t\r\n" );
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document.write( "Now fill in their rates which are given as \r\n" );
document.write( "24 mi/hr and 48 mi/hr\r\n" );
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document.write( "            DISTANCE     RATE     TIME\r\n" );
document.write( "Martina                   24       t+2\r\n" );
document.write( "John                      48        t\r\n" );
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document.write( "Now use DISTANCE = RATE×TIME to fill in the \r\n" );
document.write( "two DISTANCEs:\r\n" );
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document.write( "            DISTANCE     RATE     TIME\r\n" );
document.write( "Martina      24(t+2)      24       t+2\r\n" );
document.write( "John           48t        48        t\r\n" );
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document.write( "Now since they both traveled the same distance,\r\n" );
document.write( "we set the DISTANCEs equal:\r\n" );
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document.write( "       24(t+2) = 48t\r\n" );
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document.write( "Solve that and get t = 2 hours, which means John, \r\n" );
document.write( "starting two hours later than 9AM, or 11AM, will \r\n" );
document.write( "catch up to her in 2 hours past 11AM, or 1PM.\r\n" );
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document.write( "Edwin
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