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, we can break it down step by step.

### Step 1: Understand the Problem
We need to find the value of \( t \) such that the time needed by the minute hand of a clock to show 3 PM is 3 minutes less than \( \frac{t^2}{4} \) minutes.

### Step 2: Set Up the Equation
The time from 2 PM to 3 PM is 60 minutes. According to the problem, the time needed by the minute hand to reach 3 PM can be expressed as:
\[ t + \left( \frac{t^2}{4} - 3 \right) = 60 \]
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