document.write( "Question 929177: An express bus travels 310 miles in the same amount of time that a car travels 275 miles. The rate of the car is 7 miles per hour slower than the rate of the bus. Find the rate of the car. \n" ); document.write( "
Algebra.Com's Answer #564163 by TimothyLamb(4379)\"\" \"About 
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x = speed of car = y - 7
\n" ); document.write( "y = speed of bus
\n" ); document.write( "---
\n" ); document.write( "s = d/t
\n" ); document.write( "t = d/s
\n" ); document.write( "---
\n" ); document.write( "time:
\n" ); document.write( "310/y = 275/x
\n" ); document.write( "310/y = 275/(y - 7)
\n" ); document.write( "310(y - 7) = 275y
\n" ); document.write( "310y - 2170 = 275y
\n" ); document.write( "310y - 275y = 2170
\n" ); document.write( "35y = 2170
\n" ); document.write( "y = 2170/35
\n" ); document.write( "y = 62
\n" ); document.write( "x = y - 7
\n" ); document.write( "x = 62 - 7
\n" ); document.write( "x = 55
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = speed of car = 55 mph
\n" ); document.write( "y = speed of bus = 62 mph
\n" ); document.write( "---
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