document.write( "Question 154360: I am not sure how to set up the equation or how to solve this word problem.\r
\n" ); document.write( "\n" ); document.write( "Elena bicycles 5km/h faster then Carlos. In the same time it takes Carlos to bicycle 39km, Elena can bicycle 54km. How fst does each bicyclist travel?
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Algebra.Com's Answer #113664 by ankor@dixie-net.com(22740)\"\" \"About 
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Elena bicycles 5km/h faster then Carlos. In the same time it takes Carlos to bicycle 39km, Elena can bicycle 54km. How fast does each bicyclist travel?
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\n" ); document.write( "Let s = C's speed
\n" ); document.write( "then
\n" ); document.write( "(s+5) = E's speed
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\n" ); document.write( "it says the times are equal: write a time equation: time = dist/speed
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\n" ); document.write( "\"54%2F%28s%2B5%29\" = \"39%2Fs\"
\n" ); document.write( "cross multiply
\n" ); document.write( "54s = 39(s+5)
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\n" ); document.write( "54s = 39s + 195
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\n" ); document.write( "54s - 39s = 195
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\n" ); document.write( "15s = 195
\n" ); document.write( "s = \"195%2F15\"
\n" ); document.write( "s = 13 km/hr is C's speed
\n" ); document.write( "then
\n" ); document.write( "13 + 5 = 18 km/hr is E's speed
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\n" ); document.write( "Check solutions by finding the times
\n" ); document.write( "54/18 = 3 hr
\n" ); document.write( "39/13 = 3 hr
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