## Time When The Angle Between The Hands Of The Clock Were Bisected By The 3 O'clock Mark

Problem
What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark?

A. 2:18:27.6
B. 2:16:00.0
C. 2:17:56.3
D. 2:19:03.1

## 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?

## The Hour Hand And Minute Hand Of The Clock Exchanged Places

Problem
Between 3:00 and 4:00, Kathryn looked at her watch and noticed that the minute hand was between 5 and 6. Later, Kathryn looked again and noticed that the hour hand and the minute hand had exchanged places. What time was it in the second case?

## Clock-related Problems

There are 12 dial units in the clock. Every time the minute hand completes 12 dials, the hour hand moves 1 dial. Thus, if the minute hand moves by x the hour hand moves by x/12.

Key equations:

$x$ = distance traveled by the minute hand (in minutes)

$\dfrac{x}{12}$ = distance traveled by the hour hand (in minutes)

## Verbal Problems in Algebra

Number Problem, digit problem, money problem, lever problem, geometry related, Clock Problem, Age Problem, mixture problem, Work Problem, Motion Problem