At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3pm was found to be 3 minutes less than `(t^2)/4 minutes. Find t.

Explanation

To solve the problem step by step, we will first understand the situation and then derive the equation based on the given conditions.

### Step 1: Understand the Problem
At \( t \) minutes past 2 PM, we need to find how long it will take for the minute hand of a clock to show 3 PM. The problem states that this time is 3 minutes less than \( \frac{t^2}{4} \) minutes.

### Step 2: Determine the Time from 2 PM to 3 PM
From 2 PM to 3 PM, there is a total of 60 minutes. If it is \( t \) minutes past 2 PM, then the time remaining to reach 3 PM is:
\[ 60 - t \text{ minutes} \]
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