What is Rate? - Definition & Examples

The time now is 1 o’clock. The hour hand of the clock will next overlap the minute hand of the clock in $\frac{m}{n}$ hours, where $m$ and $n$ are relatively prime positive integers. Compute $100m+n.$

Hint 1: What is the rate each hand is moving at?

Hint 2: Remember, time $\times$ rate = distance!