A train X starts from New Delhi at 4 pm and reaches Ghaziabad at 5 pm.

1.	A train X starts from New Delhi at 4 pm and reaches Ghaziabad at 5 pm. While another train Y starts from Ghaziabad at 4 pm and reaches New Delhi at 5 : 30 pm. At what time will the two trains cross each other?
Answer» Let Delhi – Ghaziabad distance be a km. Then, Speed of train X = a km/hr Speed of train Y = \(\frac{a}{\frac{3}{2}}\) km/hr = \(\frac{2a}{3}\) km/hr Suppose they meet after b hours, then \(ab + \frac{2ab}{3} =a ⇒\frac{5b}{3}=1⇒b=\frac35\) hrs = 36 minutes ∴ They meet at 4 : 36 pm.

A train X starts from New Delhi at 4 pm and reaches Ghaziabad at 5 pm. While another train Y starts from Ghaziabad at 4 pm and reaches New Delhi at 5 : 30 pm. At what time will the two trains cross each other?

Answer»

Let Delhi – Ghaziabad distance be a km. Then,

Speed of train X = a km/hr

Speed of train Y = \(\frac{a}{\frac{3}{2}}\) km/hr = \(\frac{2a}{3}\) km/hr

Suppose they meet after b hours, then \(ab + \frac{2ab}{3} =a ⇒\frac{5b}{3}=1⇒b=\frac35\) hrs = 36 minutes

∴ They meet at 4 : 36 pm.

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A train X starts from New Delhi at 4 pm and reaches Ghaziabad at 5 pm. While another train Y starts from Ghaziabad at 4 pm and reaches New Delhi at 5 : 30 pm. At what time will the two trains cross each other?

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