# Time After 3:00 O'clock When The Hands Of The Clock Are Perpendicular

**Problem**

How many minutes after 3:00 o’clock will the hands of the clock be perpendicular to each other for the 1st time?

A. 35 | C. 32.73 |

B. 33.15 | D. 34.12 |

**Answer Key**

Answer: [ C ]

**Solution**

$x = 15 + \dfrac{x}{12} + 15$

$\dfrac{11}{12}x = 30$

$x = 32.73 ~ \text{min}$ ← *answer*