At what time between 2 and 3 will the hour and minute hands of a clock be 12 minutes divisions apart
Answers
Given:- The time is in between 2 and 3 o' clock
To find:- At what time between 2 and 3 will the hour and minute hands of a clock be 12 minutes divisions apart
Solution:- According to the question,At what time between 2 and 3 will the hour and minute hands of a clock be 12 minutes divisions apart
we know,
In 1 hour the minute hand completes 360'
so in 1 minute it moves = 360/60 = 6'
similarly in 1 hr the hour hand moves 30'
so in 1 minute it moves 30/60 = 0.5'
as they both move in the same direction, the relative speed of both is 6-0.5 = 5.5' per min
as 55 minutes gained by 60 mins
12 minutes will be gained in 60/55 × 12 mins = 13.09 mins
So, At 13.09 mins past 2, between 2 and 3 will the hour and minute hands of a clock be 12 minutes divisions apart