document.write( "Question 102989: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
\n" ); document.write( "d=rt
\n" ); document.write( "d=(24-18)4.9
\n" ); document.write( "d=(6)4.9
\n" ); document.write( "d=29.4\r
\n" ); document.write( "\n" ); document.write( "I'm concern whether or not my answer is correct.
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Algebra.Com's Answer #74894 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
If you're concerned, always check your answer.
\n" ); document.write( "You got d=29.4 miles
\n" ); document.write( "\"Distance+=+Rate%2A+Time\"
\n" ); document.write( "Calculate \"T%5B1%5D\" and \"T%5B2%5D\"
\n" ); document.write( "\"29.4+=+24%2AT%5B1%5D\"
\n" ); document.write( "\"29.4+=+18%2AT%5B2%5D\"
\n" ); document.write( "\"T%5B1%5D\"= 1.225 hrs.\r
\n" ); document.write( "\n" ); document.write( "\"T%5B2%5D\"= 1.633 hrs.
\n" ); document.write( "\"Total+Time\" = 2.858 hrs.,does not equal the 4.9 hr total.
\n" ); document.write( "Distance = Rate * Time
\n" ); document.write( "When traveling to the town
\n" ); document.write( "1. \"D+=+24%2AT%5B1%5D\"
\n" ); document.write( "When traveling back from town
\n" ); document.write( "2. \"D=18%2AT%5B2%5D\"
\n" ); document.write( "You know that
\n" ); document.write( "\"T%5B1%5D%2BT%5B2%5D=4.9\"
\n" ); document.write( "From equation 1, find a value for T[1]
\n" ); document.write( "1. \"D+=+24%2AT%5B1%5D\"
\n" ); document.write( "\"D%2F24+=+cross%2824%29%2AT%5B1%5D%2Fcross%2824%29\" Multiplicative inverse of 24.
\n" ); document.write( "\"T%5B1%5D=D%2F24\"
\n" ); document.write( "From equation 2, find a value for T[2]
\n" ); document.write( "1. \"D+=+18%2AT%5B2%5D\"
\n" ); document.write( "\"D%2F18+=+cross%2818%29%2AT%5B2%5D%2Fcross%2818%29\" Multiplicative inverse of 18.
\n" ); document.write( "\"T%5B1%5D=D%2F24\"
\n" ); document.write( "Plug those values into your total time equation,
\n" ); document.write( "\"T%5B1%5D%2BT%5B2%5D=4.9\"
\n" ); document.write( "\"D%2F24%2BD%2F18=4.9\"Substitute
\n" ); document.write( "\"18D%2B24D=4.9%2A18%2A24\" Multiply by the product of 18*24 to remove denominators.
\n" ); document.write( "\"42D=4.9%2A18%2A24\"Simplify.
\n" ); document.write( "\"cross%2842%29D%2Fcross%2842%29=4.9%2A18%2A24%2F42\"Multiplicative inverse of 42
\n" ); document.write( "D=50.4 miles
\n" ); document.write( "Check your answer
\n" ); document.write( "1. \"D+=+24%2AT%5B1%5D\"
\n" ); document.write( "\"50.4=24%2AT%5B1%5D\"
\n" ); document.write( "\"T%5B1%5D=40.4%2F24\"
\n" ); document.write( "\"T%5B1%5D\"=2.1 hrs.
\n" ); document.write( "2. \"D+=+18%2AT%5B2%5D\"
\n" ); document.write( "\"50.4=18%2AT%5B2%5D\"
\n" ); document.write( "\"T%5B2%5D=50.4%2F18\"
\n" ); document.write( "\"T%5B2%5D\"=2.8 hrs.
\n" ); document.write( "\"T%5B1%5D%2BT%5B2%5D=4.9\"
\n" ); document.write( "Good answer.
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