document.write( "Question 248851: okay. So i'm very confused and stuck on this problem. i really need help. here is the question: \r
\n" ); document.write( "\n" ); document.write( " Diana's average driving speed is 8 miles per hour faster than Damon's. In the same lenth of time it takes Diana to drive 432 miles, Damon only drives 368 miles. for how long did diana and Damon each drive?\r
\n" ); document.write( "\n" ); document.write( "Please i need for someone to show the work and explain it to me so that i can understand it thank you!
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Algebra.Com's Answer #181323 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Diana's average driving speed is 8 miles per hour faster than Damon's.
\n" ); document.write( " In the same length of time it takes Diana to drive 432 miles, Damon only drives 368 miles.
\n" ); document.write( "for how long did Diana and Damon each drive?
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\n" ); document.write( "Let s = Damon's speed
\n" ); document.write( "then it says Diana's speed is 8 mph faster so we can say:
\n" ); document.write( "(s+8) = Diana's speed
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\n" ); document.write( "We will find the speed first, then the time
\n" ); document.write( "The two trips took equal time so write a time equation: Time = dist/speed
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\n" ); document.write( "Diana's time = Damon's time
\n" ); document.write( "\"432%2F%28%28s%2B8%29%29\" = \"368%2Fs\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "432s = 368(s+8)
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\n" ); document.write( "432s = 368s + 2944
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\n" ); document.write( "432s - 368s = 2944
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\n" ); document.write( "64s = 2944
\n" ); document.write( "s = \"2944%2F64\"
\n" ); document.write( "s = 46 mph is Damon's speed
\n" ); document.write( "and
\n" ); document.write( "46 + 8 = 54 mph is Diana's speed
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\n" ); document.write( "Find the time:
\n" ); document.write( "368/46 = 8 hrs
\n" ); document.write( "check to see they are equal
\n" ); document.write( "432/54 = 8 hrs also, confirms our solution
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\n" ); document.write( "Did this unconfuse you somewhat?
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