Multiple choice

Two clocks were set right at noon on Sunday. One gains $2$ min and the other loses $3$ min in $24$ hours. What will be the true time when the first clock indicates $3$ PM on Wednesday?

  1. $2 : 38\ PM$ 
  2. $2 : 54\ PM$ 
  3. $2 : 23\ PM$ 
  4. $2 : 48\ PM$ 
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total time from Sunday noon to Wednesday 3 PM is 75 hours. The first clock gains 2 minutes every 24 hours, so in 75 hours it gains (2/24)*75 = 6.25 minutes. Thus, when the clock shows 3:00 PM, the true time is 3:00 PM minus 6 minutes and 15 seconds, which is 2:53:45 PM, closest to 2:54 PM.

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