1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution I usually have trouble with these clock problems . In this problem I can certainly rule out option d) . I considered a simple situation in which initially the clock is at 12' o clock . After 65 minutes , the minute hand would be at 1'o clock mark wheras the hour hand would be somewhere between 1 and 2 . This means when the two hands meet the actual time elapsed should be more than 65 minutes . Now the problem is how much time the clock has gained . Consider the hour hand . It covers 5 minute units in 60 minutes time . So, the time gained should be less than (5/60) times 86400 seconds . I am sure I am thinking incorrectly . Please help with the problem . Thanks .