SOLUTION: 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?

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?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = maria speed
y = carlos speed
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x = y + 5
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s = d/t
t = d/s
---
maria time:
t = 7/x
t = 7/(y + 5)
---
carlos time:
t = 6/y
---
equate times:
7/(y + 5) = 6/y
7y = 6(y + 5)
7y = 6y + 30
y = 30
x = 35
---
answer:
x = maria speed = 35 kph
y = carlos speed = 30 kph
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