SOLUTION: Maria bicycles 6 km/h faster than Javier, In the same time it takes Javier to bicycle 51km, Maria can bicycle 69 km. How fast does each bicycle travel?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Maria bicycles 6 km/h faster than Javier, In the same time it takes Javier to bicycle 51km, Maria can bicycle 69 km. How fast does each bicycle travel?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 241724: Maria bicycles 6 km/h faster than Javier, In the same time it takes Javier to bicycle 51km, Maria can bicycle 69 km. How fast does each bicycle travel?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT OR T=D/R
M=J+6
T=51/R
T=69/(R+6)
51/R=69/(R+6) CROSS MULTIPLY
69R=51(R+6)
69R=51R+306
69R-51R=306
18R=306
R=306/18
R=17 KMH IS JAVIER'S SPEED.
17+6=23 KMH IS MARIE'S SPEED.
PROOF:
51/17=69/(17+6)
3=69/23
3=3