document.write( "Question 635156: if it took vehicle A 114 miles per hour to catch up to vehicle B on a 4 mile stretch. How fast was vehicle B going if both vehicles were 500 feet apart? \n" ); document.write( "
Algebra.Com's Answer #400236 by ankor@dixie-net.com(22740)\"\" \"About 
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if it took vehicle A 114 miles per hour to catch up to vehicle B on a 4 mile
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\n" ); document.write( " How fast was vehicle B going if both vehicles were 500 feet apart?
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\n" ); document.write( "let b = vehicle B's speed in ft/sec
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\n" ); document.write( "Find how long for vehicle A to cover 4 miles
\n" ); document.write( "\"4%2F114\" * 3600 = 126.3 seconds
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\n" ); document.write( "Find how many ft/sec at 114 mph
\n" ); document.write( "\"%28114%2A5280%29%2F3600\" = 167.2 ft/sec
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\n" ); document.write( "A has to overtake vehicle B in 126.3 sec
\n" ); document.write( "\"500%2F%28167.2-b%29\" = 126.3
\n" ); document.write( "500 = 126.3(167.2-b)
\n" ); document.write( "500 = 21117.36 - 126.3b
\n" ); document.write( "126.3b = 21117.36 - 500
\n" ); document.write( "126.3b = 20617.36
\n" ); document.write( "b = 20617.36/126.2
\n" ); document.write( "b = 163.24 ft/sec, speed of the car B
\n" ); document.write( "Change speed to mph
\n" ); document.write( "\"%28163.24%2A3600%29%2F5280\" = 111.3 mph speed of B\r
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