document.write( "Question 96088This question is from textbook prentice hall mathematics algebra 1
\n" ); document.write( ": juan drives to work. because of traffic conditiond, he averages 22 miles per hour. he returns home averaging 32 miles per hour. the total travel time is 2 and 1/4 hours.\r
\n" ); document.write( "\n" ); document.write( "a. define a variable for the time juan takes to work. write an expression for the time juan takes to return home.\r
\n" ); document.write( "\n" ); document.write( "b. write and solve an equation to find the time juan spends driving to work.\r
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\n" ); document.write( "\n" ); document.write( "I attempted to solve this problem and it was a mess. I don't understand how to solve this problem at all. Could someone explain it to me in depth please?\r
\n" ); document.write( "\n" ); document.write( "Thanks!
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Algebra.Com's Answer #69988 by ankor@dixie-net.com(22740)\"\" \"About 
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juan drives to work. because of traffic conditions, he averages 22 miles per hour. he returns home averaging 32 miles per hour. the total travel time is 2 and 1/4 hours.\r
\n" ); document.write( "\n" ); document.write( "a. define a variable for the time juan takes to work.
\n" ); document.write( "Let t = time to work
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\n" ); document.write( "\"write an expression for the time juan takes to return home.\"
\n" ); document.write( "It says the total time for the round trip is 2.25 hrs, therefore
\n" ); document.write( "(2.25 - t) = time to return home
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\n" ); document.write( " b. write and solve an equation to find the time juan spends driving to work.
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\n" ); document.write( "We know the distance to and from his work are equal so we can write a distance
\n" ); document.write( "equation: Distance = speed * time
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\n" ); document.write( "22t = 32(2.25-t)
\n" ); document.write( "22t = 72 - 32t
\n" ); document.write( "22t + 32t = 72
\n" ); document.write( "54t = 72
\n" ); document.write( "t = 72/54
\n" ); document.write( "t = 1 \"1%2F3\" hrs, time to work
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\n" ); document.write( "Check our solution by finding if the distances are equal, (in decimals on a calculator)
\n" ); document.write( "22 * 1.33 = 29.3 miles
\n" ); document.write( "32(2.25 - 1.33) = 29.4 miles,
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\n" ); document.write( "Did this make sense to you? Any questions?
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