Clocks A and B were both set right at 6:00 a.m. A gains 3 minutes an hour and B loses 3 minutes an hour. When A shows the afternoon time in the picture, what does B show?

A shows 1:00 p.m.: 420 dial-minutes after 6:00 at 63 per true hour, so $\frac{420\times 60}{63}=400$ true minutes have passed. B runs 57 min per true hour: $400\times \frac{57}{60}=380$ min after 6:00, i.e. 12:20 p.m. (12:40 p.m. is the true time, not the reading on B.)