A passenger train that travels at a speed of 80 km per hour. Departs from the station 6 hours after departure of a freight train and passes by freight train in 4 hours. So what will be the speed of the freight train?
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Answer:
32 km/hr
Step-by-step explanation:
Let the speed of the good train be x km/hr.
Now when the good train is overtaken, it has travelled for a total time of 10 hours,as it started 6 / hours early and took 4 hours to be overtaken. So, the distance travelled by is:
distance=speed×time=10x km
Also, by the time the train is overtaken, the passenger train should have travelled the same distance as the goods train. It is given that the speed of the passenger train is 80 km/hr and time taken is 4 hours.
distance=speed×time=80×4=320 km
Now, we will equate the two distances that we found in the above case, we get
10x=320
x=32 km/hr
Therefore, the speed of the good train is 32 km/hr.
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