Math, asked by keertanachiguru7285, 1 year ago

At what time between 2 and 3 will the hour and minute hands of a clock be 12 minutes divisions apart

Answers

Answered by HanitaHImesh
1

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

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