SOLUTION: Elena bicycles 7 km/h faster than Praedup. In the same time it takes Praedup to bicycle 30 km, Elena can bicycle 51 km. How fast does each bicyclists travel?

Question 313765: Elena bicycles 7 km/h faster than Praedup. In the same time it takes Praedup to bicycle 30 km, Elena can bicycle 51 km. How fast does each bicyclists travel?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Praedup cycles at x mph.
Elena cycles at x+7 mph.
..
distance traveled by Elena is 51 km.
diatance traveled by Praedup = 30 km.
..
Time taken by Praedup = 30/x
Time taken by Elena = 51/x+7.
..
These two times are same.
..
30/x = 51 / x+7
30(x+7)= 51x
30x+210=51x
21x=210
x=10 km/hr. speed of Praedup
Speed of elena = 17 km/hr

RELATED QUESTIONS
Maria bicycles 6km/h faster than Praedup. In the same time it takes Praedup to bicycle... (answered by ankor@dixie-net.com)

Keiko bicycles 5 km/h faster than Praedup. In the same time it takes praedup to bicycle... (answered by mananth)

Kathy bicycles 4 km/h faster than Praedup. In the same time it takes Praedup to bicycle... (answered by josmiceli)

Elena bicycles 8km/h faster than Dennis. In the same time it takes Dennis to bicycle... (answered by josmiceli)

Elena bicycles 7 km/h faster than Carlos. In the same time it takes Carols to bicycle 48... (answered by stanbon)

Elena bicycles 8 km/h faster than Dennis. In the same time it takes Dennis to bicycle 60... (answered by Targetweek)

Maria bicycles 4km/h faster than Praedup. In the same time it takes Praedup to bicycle... (answered by ankor@dixie-net.com)

Maria bicycles 8km per hour faste than Praedup. In the same time it takes Praedup to... (answered by ankor@dixie-net.com)

Maria bicycles 6km an hour faster than Praedup. In the same time it takes Praedup to... (answered by checkley79)