document.write( "Question 537331: Freddie gets a car ride to the top of a hill, then rides his skateboard back down. The downhill ride takes 15 minutes longer than the uphill. If the car averages 32 mph, and Freddie rides his skateboard at 8 mph, find out how much time he spends skateboarding.\r
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document.write( "Let t=time spent driving to the top of the hill then, t+15=time going down the hill.
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document.write( "distance up=distance down
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document.write( "from the formula speed=distance/time(s=d/t), then d=st, \r
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document.write( "32t=8(t+15)
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document.write( "32t=8t+120\r
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document.write( "I can't get to the answer of 1/3 hour. I keep coming up with 1/4 hour. \n" );
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Algebra.Com's Answer #352826 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Freddie gets a car ride to the top of a hill, then rides his skateboard back down. \n" ); document.write( "The downhill ride takes 15 minutes longer than the uphill. \n" ); document.write( "If the car averages 32 mph, and Freddie rides his skateboard at 8 mph, find out how much time he spends skateboarding. \n" ); document.write( "--- \n" ); document.write( "Drive up DATA: \n" ); document.write( "rate = 32 mph ; time = t hrs ; distance = 32t miles \n" ); document.write( "----- \n" ); document.write( "Skate down DATA: \n" ); document.write( "rate = 8 mph ; time = t+(1/4) hrs ; distance = 8(t+(1/4)) miles \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "distance up = distance down: \n" ); document.write( "32t = 8t+2 \n" ); document.write( "24t = 2 \n" ); document.write( "time = 1/12 hr = 5 minutes (time up) \n" ); document.write( "time down = 5 min + 15 min = 20 min (time down) \n" ); document.write( "--- \n" ); document.write( "Total skate time = 20 min = 1/3 hr. \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " |