At precisely what time between one and two o'clock is the minute hand exactly over the hour hand?

Question

At precisely what time between one and two o'clock is the minute hand exactly over the hour hand?

Answer 1

They Overlap at 1:05 and 5.08 seconds. Here's how: Say the minutes hand is in the m position on the m-th minute. The hours hand starts at the 5 minute position at 1 o'clock and moves at a rate of m/60 or one 60th the speed of the m hand. they are at the same position that hour when m=5+ (m/60) For the hours hand is at the 5 min. position and travels m/60 each minute m's hand moves in m minutes. Solve for m and you get m=5.084 for overlap/intersection at 1:05 with 5.08 sec.

Answer 2

The minute hand strikes 6 tiers a minute. The hour hand strikes a million/2 degree a minute. because of the fact the minute and hour palms are 30 tiers aside (a million/12 of the circle) on the beginning up, it takes 30/(6-a million/2) minutes after a million:00 for them to experience up. just to 30/5.5 or 60/11. hence, the palms would be precisely on best of the different 5 5/11 minutes after one in certainty the time would be a million:05:40 5.40 5, rounded to the closest hundredth of a 2d. purely for the checklist, at a million:06 the palms would be 3 tiers aside.

Answer 3

at 1:05, the hour hand and the minute hand are both over the one.

Answer 4

I don't know, around 1:06 or 1:07?

Answer 5

1 :05

Answer 6

1:05:25, depending on your clock