Multiple choice

There are two clocks, A and B. Clock A is a regular clock, while Clock B is defective. Clock B gains 20 minutes every hour. Both clocks are set to 12:00 p.m. Find the time in Clock B when Clock A shows 3:24 p.m.

  1. 4:24 p.m.

  2. 3:04 p.m.

  3. 4:32 p.m.

  4. 3:42 p.m.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Clock A shows 3 hours 24 minutes (204 minutes). Clock B gains 20 minutes per hour, meaning it runs at 80 minutes per actual hour (or 4/3 speed). In 204 minutes, Clock B will show 204 * (4/3) = 272 minutes. 272 minutes = 4 hours 32 minutes. Time is 4:32 p.m.

AI explanation

Clock A shows 3:24 p.m., meaning the actual elapsed time is 3 hours and 24 minutes, which equals 3.4 hours. Because Clock B gains 20 minutes per hour, it runs at a rate of 80 minutes for every 60 actual minutes; multiplying 3.4 hours by 80 minutes gives 272 minutes. Converting 272 minutes into hours yields 4 hours and 32 minutes, making the time on Clock B 4:32 p.m.