Question

24. (3) At 9 o' clock, the min hand is ( 9 times 5=45 ) min spaces behind the hour hand. Therefore, the minute hand will have to gain ( 45-30=15 ) min spaces over the hour hand.
( therefore ) Gain of 55 min spaces equals 60 min.
( therefore ) Gain of 15 min spaces equals
[
=frac{60}{55} times 15=frac{180}{11}=16 frac{4}{11}
]
Therefore, hour and minute hands of a clock point in opposite directions after ( 9 mathrm{O}^{prime} ) clock at ( 16 frac{4}{11} ) min past 9

# 24. After 9 O'clock a 9 pm and 10 pm will the ter 9 o'clock at what time between 9 pm and 10 pm hour and minute hands of a clock point in opposite directions ? (1) 15 min past 9 (2) 16 min past 9 (3) 16 min past 9 (4) 17min past 9 11 no

Solution