document.write( "Question 821651: A car can make a 200 mile trip in the same time that a bike can make a 60 mile trip. If the car travels 35 mph faster than the bike, how long does it take the bike to make the [200 mile] trip?
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Algebra.Com's Answer #494303 by TimothyLamb(4379) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "s = d / t
\n" ); document.write( "t = d / s
\n" ); document.write( "---
\n" ); document.write( "car:
\n" ); document.write( "T = 200/(s + 35)
\n" ); document.write( "---
\n" ); document.write( "bike:
\n" ); document.write( "T = 60/s
\n" ); document.write( "---
\n" ); document.write( "bike speed:
\n" ); document.write( "200/(s + 35) = 60/s
\n" ); document.write( "200/(s + 35) - 60/s = 0
\n" ); document.write( "200s/s(s + 35) - 60(s + 35)/s(s + 35) = 0
\n" ); document.write( "200s - 60(s + 35) = 0s(s + 35)
\n" ); document.write( "200s - 60s - 2100 = 0
\n" ); document.write( "140s - 2100 = 0
\n" ); document.write( "140s = 2100
\n" ); document.write( "s = 15 mph
\n" ); document.write( "---
\n" ); document.write( "bike trip time:
\n" ); document.write( "t = d / s
\n" ); document.write( "t = 200 / 15
\n" ); document.write( "t = 13.333333
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "the bike makes the 200 mile trip in 13 hours and 20 minutes
\n" ); document.write( "---
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