A man standing in front of a vertical cliff fires a gun. He hears the echo after 3 s. On moving closer to the cliff by 82-5 m, he fires again and hears the echo after 2.5 s. Find :
the distance of the cliff from the initial position of the man,

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the Variables
Let the initial distance of the man from the cliff be \( x \) meters.

### Step 2: Set Up the First Scenario
When the man fires the gun for the first time, the sound travels to the cliff and back. The total distance traveled by the sound is \( 2x \) meters. The time taken to hear the echo is 3 seconds.

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