document.write( "Question 1075844: A bus averages 10 miles per hour faster than a motorcycle. If the bus travels 110 miles in the same time it takes the motorcycle to travel 88 miles, then what is the speed of each? \n" ); document.write( "

Algebra.Com's Answer #690491 by Alan3354(69443) $\"\"$ $\"About$

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A bus averages 10 miles per hour faster than a motorcycle. If the bus travels 110 miles in the same time it takes the motorcycle to travel 88 miles, then what is the speed of each?
\n" ); document.write( "-------
\n" ); document.write( "B = bus speed
\n" ); document.write( "M = bike speed
\n" ); document.write( "-----
\n" ); document.write( "B*t = 110
\n" ); document.write( "M*t = 88
\n" ); document.write( "B = M + 10
\n" ); document.write( "===========
\n" ); document.write( "Sub for B
\n" ); document.write( "(M+10)*t = 110
\n" ); document.write( "M*t = 88
\n" ); document.write( "---
\n" ); document.write( "Mt + 10t = 110
\n" ); document.write( "Mt = 88
\n" ); document.write( "-------------------- Subtract
\n" ); document.write( "10t = 22
\n" ); document.write( "t = 2.2 hours
\n" ); document.write( "------
\n" ); document.write( "B*2.2 = 110
\n" ); document.write( "Bus = 50 mi/hr
\n" ); document.write( "M = 40 mi/hr
\n" ); document.write( "--------------------
\n" ); document.write( "I'd get a refund for the motorcycle. \n" ); document.write( "

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