document.write( "Question 1095536: Car A travels 25 mph faster than Car B. In the same time that Car A travels 266mi, Car B travels 196mi. Find their speeds. \n" ); document.write( "

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Car A travels 25 mph faster than Car B. In the same time that Car A travels 266mi, Car B travels 196mi. Find their speeds.\r
\n" ); document.write( "\n" ); document.write( "Let the speed of car B be x. Then, the speed of car A = x+25
\n" ); document.write( "196/x = 266/(x+25)
\n" ); document.write( "let's take the reciprocal of both sides so we can get the variable x on top:
\n" ); document.write( "x/196 = (x+25)/266
\n" ); document.write( "x/196 = x/266+25/266
\n" ); document.write( "get rid of one x, subtract x/265 from both sides (find common denominator)
\n" ); document.write( "5x/3724 = 25/266
\n" ); document.write( "multiply both sides by 5/3724
\n" ); document.write( "x = 25/266 * 5/3724
\n" ); document.write( "Multiply across, top and bottom, and simplify:
\n" ); document.write( "x = 70 this is the speed of car B
\n" ); document.write( "Car A:
\n" ); document.write( "x + 25 = 70 + 25 = 95
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Check:
\n" ); document.write( "196/70 = 2.8
\n" ); document.write( "266/95 = 2.8
\n" ); document.write( "These cars must be on a race track!\r
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