SOLUTION: Kathy bicycles 5km/h faster than Javier. In the same time it takes Javier to bicycle 54 km, Kathy can bicycle 69 km. How fast does each bicyclist travel? Javier travels _____km/h.

Algebra.Com
Question 464077: Kathy bicycles 5km/h faster than Javier. In the same time it takes Javier to bicycle 54 km, Kathy can bicycle 69 km. How fast does each bicyclist travel?
Javier travels _____km/h.
Kathy travels ______km/h.

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
Let x = Javier's speed
Then x+5 = Kathy's speed
Since t = d/v, and the times are the same, we can write
54/x = 69/(x+5)
Solve for x:
54(x+5) = 69x
15x = 270
x = 18
So Javier's speed is 18 km/h, Kathy's speed is 23 km/h

RELATED QUESTIONS

Kathy bicycles 6 km/h faster than Javier. In the same time it takes Javier to bicycle 48... (answered by saifoo.khan)
Kathy bicycles 8 ​km/h faster than Javier. In the same time it takes Javier to bicycle... (answered by josgarithmetic,greenestamps)
Kathy bicyces 6/km faster than Javier. In the same time it takes Javier to bicycle 48 km, (answered by lwsshak3)
Maria bicycles 6 km/h faster than Javier, In the same time it takes Javier to bicycle... (answered by checkley77)
Keiko bicycles 4 km/h faster than javier. In the same time it takes Javier to bicycle 30 (answered by ankor@dixie-net.com,RAY100)
Please help with this question. Keiko bicycles 8km/h faster than Javier. In the same... (answered by josmiceli,ewatrrr)
Kathy bicycles 4/km/h faster than Robert. In the same time it takes Robert to bicycle 57 (answered by scott8148)
Kathy bicycles 4 km/h faster than Praedup. In the same time it takes Praedup to bicycle... (answered by josmiceli)
I am in an online college class for algebra 2 and get stuck on word problems quite... (answered by ankor@dixie-net.com,stanbon,josmiceli)