# Time After 7:00 O'clock When The Minute & Hour Hands Of The Clock Are Together

**Problem**

What time after 7:00 o’clock will the hands of a continuously driven clock are together?

**Solution**

$x = 35 + \dfrac{x}{12}$

$\dfrac{11}{12}x = 35$

$x = 38.2 ~ \text{min}$

$\text{time } = 7:38.2 ~ \text{o'clock}$ ← *answer*

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