How many minutes after 12 O'Clock will the minute hand be 44º ahead of the hour hand for the first time? a. 7 b. 6 C. 8 d. 5 ?
Answers
Given : minute hand be 44º ahead of the hour hand for the first time after 12 O'Clock
To Find : Time
Solution:
Let say after T mins minute hand be 44º ahead of the hour hand
Hour hand every 60 mins = 30°
=> Hour hand every 1 min = 30/60°
=> Hour hand every T min = T/2
Minute Hand every 60 mins = 360°
=> Minute hand every 1 min = 6°
=> Hour hand every T min = 6T
6T = T/2 + 44
=> 12T = T + 88
=> 11T = 88
=> T = 8 mins
8 minutes after 12 O'Clock will the minute hand be 44º ahead of the hour hand for the first time
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