The distance between two stations A and B is 250 km. Two trains start simulteneously from A and B in opposite directions. The distance between them after two and a half hours is 25 km. If the speed of one train is 10 kmph more than the other. Find the speed of the faster train
Answers
Answer:
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Step-by-step explanation:
The distance between two stations a and b is 250km.
Two trains start simultaneously from a and b in opposite directions.
The distance between them after 5/2 hours is 25km
If the speed of one train is 10km/hr more than the other.
Required: The speed of each of the trains
Let the speed of train from station A be x
Then the speed of other train from station B = x+10
Distance covered = speed *time
After 5/2 hrs the distance covered by trains will be x*5/2 and (x+10)*5/2 respectively
therefore, x*5/2 + (x+10)*5/2 =250- 25
5x/2+ 5x/2 +25 =225
5x= 225-25 =200
5x=200
x= 200/5 =40 Km/h
Speed of second train originating from station B = 40 +10 = 50 Km /h
Thus, the speed of the trains are 40Km/h and 50Km/h respectively.
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