At what time between 6 a.m and 7 a.m Will the minute hand and hour hand of a clock make an angle closest to 60 °? , At what time between 6 a.m and 7 a.m Will the minute hand and hour hand of a clock make an angle closest to 60 °?

Solution

A. 6: 22 a. m

Explanation

 Angle by minute hand is 60 min → 360 °
1 min → 360/60 = 6 °
8 min → 48 °
Angle → 48 ° with number ‘6’ i.e Angle by hour hand is,
60 min = 30 °
22 min → ((30/60)*22) = 11
Total Angle = 48 + 11 = 59 °
So at 6: 22 a. m, the minute hand and hour hand of a clock make an angle closest to 60 °.