document.write( "Question 165417: Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours.\r
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document.write( "Write an equation to find the value for the time it takes Juan to travel to work?\r
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Algebra.Com's Answer #121919 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours. \n" ); document.write( "Write an equation to find the value for the time it takes Juan to travel to work? \n" ); document.write( "------------------------------ \n" ); document.write( "To-work DATA: \n" ); document.write( "rate = 22 mph ; distance = x miles ; time = d/r = x/22 hrs. \n" ); document.write( "------------------------------- \n" ); document.write( "From-work DATA: \n" ); document.write( "rate = 32 mph ; distance = x miles ; time = d/r = x/32 hrs. \n" ); document.write( "---------------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time + time = 9/4 hrs \n" ); document.write( "x/22 + x/32 = 9/4 \n" ); document.write( "32x + 22x = (9/4)*32*22 \n" ); document.write( "54x = 1584 \n" ); document.write( "x = 29 1/3 miles \n" ); document.write( "------------------------ \n" ); document.write( "Time to get to work: \n" ); document.write( "[29 1/3 miles]/22 hrs = 1 1/3 hours or 1 hr 20 minutes \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |