Question 54

The distance between two stations A and B is 800 km. A train X starts from A and moves towards B at 40 km/h and another train Y starts from B and moves towards A at 60 km/h. How far from A will they cross each other ?

Solution

Given that the distance between the two stations A and B = 800Km.

Speed of train X=40Km/hour

Speed of train Y=60 km/hour

Both train X and Y are moving to each other,

Let after the time t, train X and Y will be in the same position.

$$\Rightarrow 40\times t+60\times t=800$$

$$\Rightarrow 100\times t=800$$Km

$$\Rightarrow t=\dfrac{800}{100}=8$$hour

So, the distance form the station A$$= 40\times 8 =320$$Km

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