SOLUTION: May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does eac

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Question 212218: May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each person
d%5Bm%5D+=+r%5Bm%5D%2At%5Bm%5D
and
d%5Bl%5D+=+r%5Bl%5D%2At%5Bl%5D
given:
d%5Bm%5D+=+d%5Bl%5D km (call them both d
r%5Bm%5D+=+r%5Bl%5D+%2B+10 km/hr
t%5Bm%5D+=+1 hr
t%5Bl%5D+=+3 hr
---------------------
Now rewrite the equations
d+=+%28r%5Bl%5D+%2B+10%29%2A1
and
d+=+r%5Bl%5D%2A3
Set the 2 d's equal to eachother
r%5Bl%5D+%2B+10+=+3r%5Bl%5D
2r%5Bl%5D+=+10
r%5Bl%5D+=+5 km/hr
and
r%5Bm%5D+=+r%5Bl%5D+%2B+10 km/hr
r%5Bm%5D+=+5+%2B+10
r%5Bm%5D+=+15 km/hr
Leah travels 5 km/hr and May travels 15 km/hr
check:
d+=+%28r%5Bl%5D+%2B+10%29%2A1
d+=+%285%2B10%29%2A1
d+=+15 km
and
d+=+r%5Bl%5D%2A3
d+=+5%2A3
d+=+15 km
OK