SOLUTION: Please help with this question. Keiko bicycles 8km/h faster than Javier. In the same time it takes Javier to bicycle 30 km, Keiko can bicycle 54 km. How fast does each bicyclist

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Question 617107: Please help with this question.
Keiko bicycles 8km/h faster than Javier. In the same time it takes Javier to bicycle 30 km, Keiko can bicycle 54 km. How fast does each bicyclist travel?
Javier travels ___ km/h
Keiko travels ___ km/h

Found 2 solutions by josmiceli, ewatrrr:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Javier's speed
Let = Keiko's speed
given:
(1)
(2)
----------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
Javier travels 10 km/h
Keiko travels 18 km/h
check:
(2)
(2)
OK

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Keiko bicycles 8km/h faster than Javier.
Let x and (x+8) represent Javier's and Keiko's speeds respectively
Question states*** Note: D = rt or D/r = t
In the same time it takes Javier to bicycle 30 km, Keiko can bicycle 54 km.
Cross Multiplying to solve
54x = 30x + 240
24x = 240
x = 240/24 =10kmph, Javier's speed. Keiko's speed is 18kmph
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