SOLUTION: trains at each end of a 50 km tunnel start at the same time into the tunnel if the train from one direction is traveling 8 kilometer per hour faster then the train moving in the ot

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Question 1021748: trains at each end of a 50 km tunnel start at the same time into the tunnel if the train from one direction is traveling 8 kilometer per hour faster then the train moving in the other direction and they pass each other at 17 minutes what are the speeds of the trains
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
The combined speed of the trains is:
50km/17min=50km/0.279hr=179.21km/hr
.
S=speed of slower train; F=speed of faster train=S+8km/hr
.
S+F=179.21km/hr
S+(S+8km/hr)=179.21km/hr
2S=171.21km/hr
S=85.6km/hr
.
F=S+8km/hr=85.6km/hr+8km/hr=93.6km/hr
.
ANSWER: The rate of the slower train was 85.6 km/hr and
the rate of the faster train was 93.6 km/hr.
.


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