A clock is set right at 10PM. the clock gains 10 minutes i 24 hours. What will be the true time when the clock indicates 3PM the following day.

Answer 1

Clock runs 10 minutes fast every 24 (real) hours.
So clock shows 24*60+10=1450 minutes after 1440 minutes.
3PM-10PM=2+15 hours = 17 hours = 1020 minutes.

Actual time passed from 10PM
= 10pm + 1020*(144/145)
=10 pm + 1012 28/29 minutes
=14:52:57.93