•  In 24 hours, the correct clock moves 24 × 60 = 1440 minutes, but the incorrect clock will move 1440 + 10 = 1450 min. So now we have basic relation between the correct and incorrect clock.

•  Now by the condition given in question the incorrect clock has moved 24 + 24 + 10 = 58 hours (i.e. 58×60 minutes).

•  If the incorrect clocks moves 1450 minutes, correct clock moves 1440 minutes.

•  If the incorrect clock moves 1 minute, correct clock moves 1440/1450 minutes.

•  But in our case incorrect clock has moved 58 hrs × 60 min /hr = 3480 minutes.

•  So, if the incorrect clock moved 3480 minutes, the correct clock will have moved (1440×3480)/1450 = 3456 minutes.

•  Converting 3456 min into hours we have 3456/60 = 573/5 or 57 hours 36 minutes.