The office clock was set right at 8:00 a.m. It gains 5 minutes every hour, and it now shows the afternoon time in the picture. What is the correct time?

The clock shows 3:35 p.m., i.e. 7 h 35 min = 455 min after 8:00 on its own dial. It runs 65 min for every 60 true min, so the true time passed is $455\times \frac{60}{65}=420$ min = 7 h: the correct time is 3:00 p.m. (2:57 subtracts 5 min for each of 7.6 dial-hours.)