Rahul leaves from P at 8 AM and reaches Q at 4 PM on the same day. Ravi leaves Q at 10 AM and reaches P at 5PM on the same day. Time taken to meet each other is equal to:

Choose the correct option.

Let's assume that the distance between P and Q is d, and let's call the point where Rahul and Ravi meet as X.

Time taken by Rahul to cover the distance d = 4 PM - 8AM = 8 hours

Time is taken by Ravi to cover the distance d = 5PM - 10 AM = 7 hours

Let the time taken for Rahul and Ravi to meet each other at point X is t. 

Since they start from opposite ends, the total distance between them is d, and their relative speed is the sum of their individual speeds:

Relative Speed = Speed of Rahul + Speed of Ravi Relative Speed = d / 8 + d / 7

Distance travelled by Rahul = Speed of Rahul x t 

Distance traveled by Rahul = (d / 8) x t

Distance traveled by Ravi = Speed of Ravi x (t - 2) 

Distance traveled by Ravi = (d / 7) x (t - 2)

Since they meet at point X, the sum of the distances travelled by Rahul and Ravi must be equal to the total distance d:

(d / 8) x t + (d / 7) x (t - 2) = d

Simplifying this equation, we get:

15t - 56 = 0

Therefore, t = 56 / 15 hours, or approximately 3.73 hours or 3 hours and 44 minutes.