SOLUTION: Elena bicycles 8 km/h faster than Dennis. In the same time it takes Dennis to bicycle 60 km/h, Elena can bicycle 84 km. How fast does each bicyclist travel?

Algebra ->  Length-and-distance -> SOLUTION: Elena bicycles 8 km/h faster than Dennis. In the same time it takes Dennis to bicycle 60 km/h, Elena can bicycle 84 km. How fast does each bicyclist travel?      Log On


   



Question 205499: Elena bicycles 8 km/h faster than Dennis. In the same time it takes Dennis to bicycle 60 km/h, Elena can bicycle 84 km. How fast does each bicyclist travel?
Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
In x amount of time Dennis travels 60km (typo in question?) and in that same amount of time Elena travels 84km
You set up a porportion like so 84%2F60 when simplified out the ratio of Elena's distance traveled to Dennis' is 1.4
Because speed and distance are directly related (remember S=%28D%2FT%29)
the ratio between Elena's speed and Dennis' speed is also 1.4
Elena is going 1 and 2%2F5 the speed of Dennis because .4 = 2%2F5
if 2%2F5 of Dennis' speed is 8 km/h then
8%2A%285%2F2%29+=+20 multiply by the reciprocal
so Dennis is Going 20 km/h and Elena is going 28 km/h