the distance between two railway stations A and B is 455 kilometres. two trains facing each other are started from these stations simultaneously on two parallel tracks. the speed of one train is 5km per hour more than the other. If 3 hour after start the distance between two train is 20km.find the speed of each train
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The speed of the 1st train is 70 km/h and 2nd train is 75 km/h.
- total distance = (total speed) * (total time taken)
- Let speed of 1st train be x . Then, speed of 2nd train is x + 5.
- After three hours net distance covered by two trains
= 3*x + 3*(x+5)
= 6x+15
- given ,
6x + 15 = 455 - 20
6x + 15 = 435
6x = 420
x = 70
- Thus speed of 1st train is 70 km/h and other's speed is 75 km/h
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