The distance between two railway stations A and B is 425km. Two trains start simultaneously from both these stations and are set to cross each other. The speed of one train is 5 km/h greater than that of the other. If the distance between the two trains after 3 hours of starting is 20 km, find the speed of each train. ( Pls find the linear equation and explain it)
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Verified answer
Answer:
70km/hr
Step-by-step explanation:
Solution
Let the trains be A and B.
Speed of A = x km/h
Speed of B = (x+5) km/h
After 3 hours,
distance travelled by A = 3x km
distance travelled by B = 3(x+5) km
= 3x+15 km
Now distance between them is 20km
So 3x + (3x+15) + 20 = 425
6x + 35 = 425
6x = 425 – 35 = 390
x = 390/6
= 65 km/h
x + 5 = 65+5
= 70 km/h
Speed of the trains are 65 km/h and 70 km/h.
Hope it helps
All the best.