SOLUTION: How do I put this word problem into an equation? 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 hour

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Question 119410: How do I put this word problem into an equation?
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 hour and Leah 3 hours to travel that distance, how fast does each travel?
I can figure the equation out, i just need help puting the word problem into a equation

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 hour and Leah 3 hours to travel that distance, how fast does each travel?
------------
May DATA:
Time = 1 hr ; rate = x km/hr ; distance = 1x = x km
---------
Leah DATA:
Time = 3 hrs; rate = (x-10)km/hr ; distance = 3(x-10) = 3x-30 km
------------------------
EQUATION:
distance = distance
x = 3x-30
2x = 30
x = 15 km/hr (May's rate)
x-10 = 5 km/hr (Leah's rate)
==============================
Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have two equations, and both are distance = rate x time.
May's equation:
d%5Bm%5D+=+r%5Bm%5D%2At%5Bm%5D
Leah's equation:
d%5Bl%5D+=+r%5Bl%5D%2At%5Bl%5D
Here is what is given:
d%5Bm%5D+=+d%5Bl%5D km
r%5Bm%5D+=+r%5Bl%5D+%2B+10 km/hr
t%5Bm%5D+=+1 hr
t%5Bl%5D+=+3 hr
Now plug these givens into equations
d%5Bm%5D+=+%28r%5Bl%5D+%2B+10%29%2A1
d%5Bl%5D+=+r%5Bl%5D%2A3
and since d%5Bm%5D+=+d%5Bl%5D,
r%5Bl%5D+%2B+10+=+r%5Bl%5D%2A3
2%2Ar%5Bl%5D+=+10
r%5Bl%5D+=+5 km/hr answer
r%5Bm%5D+=+r%5Bl%5D+%2B+10
r%5Bm%5D+=+5+%2B+10
r%5Bm%5D+=+15 km/hr answer
check answer
d%5Bm%5D+=+r%5Bm%5D%2At%5Bm%5D
d%5Bm%5D+=+15%2A1
d%5Bm%5D+=+15km
d%5Bl%5D+=+r%5Bl%5D%2At%5Bl%5D
d%5Bl%5D+=+5%2A3
d%5Bl%5D+=+15km
d%5Bl%5D+=+d%5Bm%5D
OK