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

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Question 251749: May rides her bike the same distance that Leah walks. May rides here bike 10km/h faster than Leah walks. If it takes May 1 h and Leah 3 hrs how fast does each travel
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the distance traveled by each = d mi
Let Leah's walking rate = r mi/hr
given:
for May:
t%5BM%5D+=+1 hr
d+=+%28r+%2B+10%29%2At%5BM%5D
d+=+%28r+%2B+10%29%2A1
for Leah:
t%5BL%5D+=+3 hrs
d+=+r%2At%5BL%5D
d+=+r%2A3
-----------
They travel the same distance, so the d's are equal
r+%2B+10+=+3r
2r+=+10
r+=+5 mi/hr
and
r+%2B+10+=+15
May's speed is 15 mi/hr and Leah's speed is 5 mi/hr