document.write( "Question 447453: a car is at a rate that is 36 mph faster than the rate of a cyclist. the car travels 384 mi in the same amount of time it takes the cyslist to travel 96 mi. find the rate of the car. \n" ); document.write( "
Algebra.Com's Answer #308028 by stanbon(75887)\"\" \"About 
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a car is at a rate that is 36 mph faster than the rate of a cyclist.
\n" ); document.write( "the car travels 384 mi in the same amount of time it takes the cyslist to travel 96 mi.
\n" ); document.write( "find the rate of the car.
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\n" ); document.write( "Cyclist DATA:
\n" ); document.write( "dist. = 96 miles ; rate = r mph ; time = d/r = 96/r hrs.
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\n" ); document.write( "Car DATA:
\n" ); document.write( "dist = 384 miles ; rate = r+36 mph ; time = d/r = 384/(r+36) hrs.
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\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "96/r = 384/(r+36)
\n" ); document.write( "----
\n" ); document.write( "96(r+36) = 384r
\n" ); document.write( "384r-96r = 96*36
\n" ); document.write( "----
\n" ); document.write( "288r = 96*36
\n" ); document.write( "r = 12 mph (cyclist's rate)
\n" ); document.write( "r+36 = 48 mph (car rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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