document.write( "Question 123524: Hi, I would really appriciate your help with this problem \r
\n" ); document.write( "\n" ); document.write( "An express bus travels 320 miles in the same amount of time that a car travels 280 miles. The rate of the car is 8 mph less that the rate of the bus. Find the rate of the bus.
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Algebra.Com's Answer #90613 by ankor@dixie-net.com(22740)\"\" \"About 
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An express bus travels 320 miles in the same amount of time that a car travels 280 miles. The rate of the car is 8 mph less that the rate of the bus. Find the rate of the bus.
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\n" ); document.write( "Let s = the rate of the bus
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\n" ); document.write( "(s-8) = rate of the car
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\n" ); document.write( "Write a time equation: Time = \"Distance%2FRate\"
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\n" ); document.write( "Bus time = Car time
\n" ); document.write( "\"320%2Fs\" = \"280%2F%28%28s-8%29%29\"
\n" ); document.write( "Cross multiply:
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\n" ); document.write( "320(s-8) = 280s
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\n" ); document.write( "320s - 2560 = 285s
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\n" ); document.write( "320s - 280s = +2560
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\n" ); document.write( "40s = 2560
\n" ); document.write( "s = \"2560%2F40\"
\n" ); document.write( "s = 64 mph is the bus
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\n" ); document.write( "Check our solution by find the times (are they equal)
\n" ); document.write( "Car speed 64 - 8 = 56 mph
\n" ); document.write( "320/64 = 5 hrs
\n" ); document.write( "280/56 = 5 hrs confirms our solution
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