Find at what time between 9 and 10 o’clock will the hands of a clock be in 180° ?
Option:
A. 180/11 min past 9
B. 170/11 min past 8
C. 175/11 min past 9
D. 180/11 min past 10
Answer: A . 180/11 min past 9
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Justification:
At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.
So, the minute hand should gain = (30 - 15) minutes = 15 minutes
55 minutes will be gained in 60 min.
15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.
The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9
