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A train departs from Hyderabad at 7 am and reaches Vijayawada at 11 am. Another train departs from Vijayawada at 9 am and reaches Hyderabad at 12:30 pm. At what time will the two trains cross each other?  

A train departs from Hyderabad at 7 am and reaches Vijayawada at 11 am. Another train departs from Vijayawada at 9 am and reaches Hyderabad at 12:30 pm. At what time will the two trains cross each other?   Correct Answer 9:56 AM

Given:

The first train departs from Hyderabad at 7 am and reaches Vijayawada at 11 am

The second train departs from Vijayawada at 9 am and reaches Hyderabad at 12 : 30 pm

Formula used:

Distance = Speed × Time

Calculation:

Let the distance between Hyderabad and Vijayawada be x km

And the two trains meet after y(let) hours from the starting of 2nd train (9 am)

The time is taken by first train = 4 hours

The time is taken by second train = (7/2) hours

Distance traveled by the first train in (y + 2) hours + Distance travel by second train in y hours = x km

By using formula,

Distance = Speed × Time

⇒ (x/4) × (y + 2) + (2x/7) × y = x

⇒ (y + 2)/4 + (2y/7) = 1

⇒ (7y + 14 + 8y)/28 = 1

⇒ 15y + 14 = 28

⇒ 15y = 14

⇒ y = (14/15) × 60 = 56 minutes

⇒ The meeting time = 9 + 56 = 9 hrs 56 minutes

∴ The required answer is 9 : 56 AM.

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