document.write( "Question 389296: On Monday, Carlos drove to work in 35 minutes. On Tuesday, he averaged 9 miles per hour more and arrived 7 minutes faster. How far (in miles) does Carlos travel from home to work? \n" ); document.write( "
Algebra.Com's Answer #275836 by ankor@dixie-net.com(22740)\"\" \"About 
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On Monday, Carlos drove to work in 35 minutes.
\n" ); document.write( " On Tuesday, he averaged 9 miles per hour more and arrived 7 minutes faster.
\n" ); document.write( " How far (in miles) does Carlos travel from home to work?
\n" ); document.write( ":
\n" ); document.write( "Let d = distance traveled to work
\n" ); document.write( "Let s = average speed on monday
\n" ); document.write( "then
\n" ); document.write( "(s+9) = average speed on tuesday
\n" ); document.write( ":
\n" ); document.write( "Write two time equations: time = dist/speed
\n" ); document.write( "\"d%2Fs\" = \"35%2F60\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "60d = 35s
\n" ); document.write( "Simplify, divide by 5
\n" ); document.write( "12d = 7s
\n" ); document.write( "12d - 7s = 0
\n" ); document.write( "and
\n" ); document.write( "\"d%2F%28%28s%2B9%29%29\" = \"28%2F60\"; (7min faster)
\n" ); document.write( "Cross multiply
\n" ); document.write( "60d = 28(s+9)
\n" ); document.write( "60d = 28s + 252
\n" ); document.write( "Simplify, divide by 4
\n" ); document.write( "15d = 7s + 63
\n" ); document.write( "15d - 7s = 63
\n" ); document.write( ":
\n" ); document.write( "Subtract the 12d - 7s = 0 from the above equation
\n" ); document.write( "15d - 7s = 63
\n" ); document.write( "12d - 7s = 0
\n" ); document.write( "----------------subtraction eliminates s, find d
\n" ); document.write( "3d = 63
\n" ); document.write( "d = \"63%2F3\"
\n" ); document.write( "d = 21 miles is C's distance to work
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this: find the the speed
\n" ); document.write( "7s = 12(21)
\n" ); document.write( "7s = 252
\n" ); document.write( "s = 252/7
\n" ); document.write( "s = 36 mph
\n" ); document.write( ":
\n" ); document.write( "Find the times
\n" ); document.write( "21/36 = .583 hrs
\n" ); document.write( "21/45 = .467 hrs; (9 mph faster)
\n" ); document.write( "-----------------
\n" ); document.write( "difer = .116 hrs which is about 7 min
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