SOLUTION: Sally and Rocky travel on motorcycles toward each other from Chicago and Indianapolis, which are about 350 km apart, and they are biking at the rates of 110 km/h and 90 km/h. They

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Sally and Rocky travel on motorcycles toward each other from Chicago and Indianapolis, which are about 350 km apart, and they are biking at the rates of 110 km/h and 90 km/h. They       Log On

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Question 389884: Sally and Rocky travel on motorcycles toward each other from Chicago and Indianapolis, which are about 350 km apart, and they are biking at the rates of 110 km/h and 90 km/h. They started at the same time. In how many hours will they meet?
Show your work not just the final answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For Sally:
d%5Bs%5D+=+r%5Bs%5D%2At
For Rocky:
d%5Br%5D+=+r%5Br%5D%2At
Note that they start and finish together,
so t is the same in both equations
------------------
given:
r%5Bs%5D+=+110 km/hr
r%5Br%5D+=+90 km/hr
d%5Br%5D+%2B+d%5Bs%5D+=+350 km
------------------
d%5Bs%5D+=+110t
d%5Br%5D+=+90t
90t+%2B+110t+=+350 km
200t+=+350
t+=+1.75 hrs
check:
d%5Bs%5D+=+110%2A1.75
d%5Bs%5D+=+192.5 km
and
d%5Br%5D+=+90%2A1.75
d%5Br%5D+=+157.5
192.5+%2B+157.5+=+350
350+=+350
OK