Chandigarh and Ambala are connected with a regular bus service. A bus leaving in
either direction every T minutes. A boy cycling with a speed of 10 km ` h^(-1) ` from Chandigarh to Ambala notices that a bus crosses him after every 15 minutes towards Ambala and after every 5 minutes towards Chandigarh. Calculate the time T and the speed of the buses. Assume that speed of buses is constant.

Explanation

To solve the problem, we need to find the time interval \( T \) between buses and the speed of the buses. Let's break this down step by step.

### Step 1: Understand the problem
The boy is cycling from Chandigarh to Ambala at a speed of 10 km/h. He notices that a bus crosses him every 15 minutes towards Ambala and every 5 minutes towards Chandigarh.

### Step 2: Convert time intervals to hours
Since the speeds are in km/h, we should convert the time intervals from minutes to hours:
- 15 minutes = \( \frac{15}{60} = \frac{1}{4} \) hours
...