Home

Clock Problems Calculator

Online clock-angle problem solver. Pick the hour and the hands' relationship (overlap or angle) to find the first time they coincide or form the angle—great for clock puzzles.

展开更多 ▾
Minutes=(30H ∓ angle)/5.5
On the hour 0-11
Overlap or angle

📖 Tutorial | Clock Problem

1. Definition
Clock problems study overlap and angles; a chase problem.
2. Formula & Notation
Minute6°/min
Hour0.5°/min
Gain5.5°/min
3. Properties & Laws
  • Leads by 30H°;
  • Minutes=(30H∓angle)/5.5;
  • Smallest 0–60;
  • 22 overlaps a day.
4. Steps
  1. Enter h, choose relationship;
  2. Click "Find Time";
  3. Or click "Load Example".
5. Worked Examples
Example: first overlap after 3.
Solution: about 3:16:22.
6. Common Pitfalls
Gain is 5.5, not 6;
Two candidates, earliest;
h 0–11.

❓ FAQ | Clock

Why chase?
Gain 5.5°/min.
After 3 overlap?
3:16:22.
Two candidates?
Ahead or behind.
Overlaps/day?
22.
Angles?
0/90/180.
Minute speed?
6°/min.