document.write( "Question 932637: Maria bicycles 5 km/h faster than Carlos. in the same time it takes Carlos to bicycle 6 km Maria can bicycle 7 km. how fast does each bicyclist travel? \n" ); document.write( "

Algebra.Com's Answer #566284 by TimothyLamb(4379) $\"\"$ $\"About$

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x = maria speed
\n" ); document.write( "y = carlos speed
\n" ); document.write( "---
\n" ); document.write( "x = y + 5
\n" ); document.write( "---
\n" ); document.write( "s = d/t
\n" ); document.write( "t = d/s
\n" ); document.write( "---
\n" ); document.write( "maria time:
\n" ); document.write( "t = 7/x
\n" ); document.write( "t = 7/(y + 5)
\n" ); document.write( "---
\n" ); document.write( "carlos time:
\n" ); document.write( "t = 6/y
\n" ); document.write( "---
\n" ); document.write( "equate times:
\n" ); document.write( "7/(y + 5) = 6/y
\n" ); document.write( "7y = 6(y + 5)
\n" ); document.write( "7y = 6y + 30
\n" ); document.write( "y = 30
\n" ); document.write( "x = 35
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = maria speed = 35 kph
\n" ); document.write( "y = carlos speed = 30 kph
\n" ); document.write( "---
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