1.

Two trains, A and B, start simultaneously from two stations X and Y that are 600 km apart and cross each other at a distance of 225 km from X. If it took train B 8 hours to complete the journey, in how many hours did train A complete it?1. \(16 \dfrac{1}{4}\)2. \(12 \dfrac{3}{4}\)3. \(15\dfrac{2}{3}\)4. \(13\dfrac{1}{3}\)

Answer» Correct Answer - Option 4 : \(13\dfrac{1}{3}\)

Given:

Two trains, A and B, start simultaneously from two stations X and Y that

are 600 km apart and cross each other at a distance of 225 km from X.

If it took train B 8 hours to complete the journey

Formula used:

Velocity = Distance/time

Calculation:

Speed of B = 600/8

⇒ 75 km/hr

When the point X both trains cross each other

So, distance cover by B

⇒ 600 – 225

⇒ 375 km

And A is 225 km

Time taken by B

⇒ 375/75

⇒ 5 hour

In 5 hour B covered by 375 and A covered by 225

So, speed of A

⇒ 225/5

⇒ 45 km/hr

Then time to complete journey by A

⇒ 600/45

⇒ 13(1/3)

∴ 13(1/3) hours did train A complete it


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