document.write( "Question 1195317: Zheng went to the park traveling 6 mph and returned home traveling 4 mph. If the total trip took 5 hours, how long did Zheng travel at each speed? \n" ); document.write( "

Algebra.Com's Answer #827785 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Zheng went to the park traveling 6 mph and returned home traveling 4 mph.
\n" ); document.write( "If the total trip took 5 hours, how long did Zheng travel at each speed?
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document.write( "Since each way distance is the same, the traveling time in each direction is \r\n" );
document.write( "inversely proportional to the speed.\r\n" );
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document.write( "So, we may think that the time traveling at 6 mph is 4t,\r\n" );
document.write( "while the time traveling at 4 mph is 6t.\r\n" );
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document.write( "It gives us the total time equation\r\n" );
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document.write( "    4t + 6t = 5 hours,\r\n" );
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document.write( "       10t  = 5 hours\r\n" );
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document.write( "         t  = 5/10 = 0.5 of an hour,\r\n" );
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document.write( "hence, time traveling at the rate 6 mph is 4t = 4*0.5 = 2 hours;\r\n" );
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document.write( "       time traveling at the rate 4 mph is 6t = 6*0.5 = 3 hours.\r\n" );
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