A clock ticks twice in each second during the first minute of operation, then ticks once per second for the rest of the day. How many ticks will the clock have made by the end of the day (24 hours)?
Answer
86460
The correct answer is 86460 — 5) Total ticks = 120 + 86340 = 86460.
Step-by-step solution
- 1) First minute: 60 seconds × 2 ticks/second = 120 ticks.
- 2) Total seconds in 24h = 24 × 3600 = 86400 seconds.
- 3) Remaining seconds = 86400 – 60 = 86340 seconds.
- 4) Remaining ticks = 86340 × 1 = 86340.
- 5) Total ticks = 120 + 86340 = 86460.
Common mistake: Assuming constant tick rate for entire day
Concept tested: Time‑based counting
Published · How this solution was prepared and checked
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