Question

the distance between two stations A and B is 500 km. Two trains start from station at the same time on parallel tracks to cross each other The speed of one train is 20 km/hr less than that of other train .After three and quarter hours the trains are 45km apart find the speed of each train​

Answer 1

The values of speed for each train is  60 km/hr and 80 km/hr respectively.

Step-by-step explanation:

• Distance between two stations = A and B = 540 km

• The time interval between the two trains = 3 and quarter hr = 31/4 hr = 13/4  hr

• The distance between the two trains after (13/4) hr is given as = 45 km

• The distance covered by both the trains in (13/4) hr will be = 500 – 45 = 455 km.

Let's suppose

• The speed of the slower train = “x” km/hr
• Speed of the faster train = (x+20) km/hr
• The relative speed = x + (x+20) = (2x + 20) km/hr

Now using formula

Speed = (distance / time)

substituting the values  

 2x + 20 = 455 / 13/4

2x + 20 = 455/3.25

 2x + 20 = 140

 2x = 120

x = 60 km/hr ( speed of slower train)

x + 20 = 60 + 20 = 80 km/hr ( speed of the faster train)

Thus the values of speed for each train is  60 km/hr and 80 km/hr respectively.

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Answer 2

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