# Algebra

Elena bicycles 5km/h faster than Dennis. In the same time it takes Dennis to bicycle 57 km, Elena can bicycle 72 km. How fast does each bicyclist travel.

There was another variation I looked at of this, but the person who answered did not answer well enough where I was able to figure it out. So if someone can try again and dummy it down a bit for me to undestand I'd appreciate it. Thanks.

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1. let Dennis' rate be x km/h
then Elena's rate is x+5 km/h
remember time = distance/rate

time for Dennis' trip = 57/x
time for Denise's trip = 72/(x+5)

But we are told the two times are the same
so
57/x = 72/(x+5)
cross-multiply
72x = 57x + 285
15x = 285
x = 19

so Dennis goes 19 km/h and Elena goes 24 km/h

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posted by Reiny

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