At midnight on Sunday, December 31st, Professor Lawrence set two of her analog clocks to the correct time. One of her clocks gains one minute every hour and the other loses two minutes every hour.
- When will the clocks next show the same time as each other?
- When will the clocks both show the correct time?
Answer
- Midnight after 10 days, which is 240 hours later. They both show 4 o’clock; one clock has gained 240 minutes (4 hours) and the other has lost 480 minutes (8 hours).
- Midnight after 30 days, which is 720 hours later. They both now show 12 o’clock.
