An astronomical clock has its dial divided in 24 divisions instead of 12, and the small hand goes round un 24 hours, the large hand going round once every hour. Find the interval between two successive meetings of the hands.
a) 1 hr 214/23 min
b) 1 hr 2 10/23 min
c) 2 14/23 min
d) None of these
Ans: a) 1 hr 214/23 min
In 1 hour, the large hand covers 24 divisions and the small hand covers 1 division, i.e., the large hand is 23 divisions ahead of the small hand. Hence it will be 24 divisions ahead in 24/23 hours, i.e., 1 hour 2 14/23 minutes.
