Solution

Let the hire charges paid by Y be Rs. y.

We know that the total hire charges for the car were Rs. 520, and the car was used by X, Y, and Z for 7, 8, and 11 hours respectively.

Let the hire charges per hour be Rs. h. Then we can write:

7h + 8h + 11h = 520

Simplifying the above equation, we get:

26h = 520

h = 20

Therefore, the hire charges per hour were Rs. 20.

Now, we know that Y used the car for 8 hours, and the hire charges per hour were Rs. 20. So, the hire charges paid by Y can be calculated as:

hire charges paid by Y = 8h = 8 x 20 = Rs. 160

Therefore, the hire charges paid by Y were Rs. 160.