Neave was trying to sleep one night but there was too much noise around him. His clock ticked every 9 seconds, a tap was dripping every 25 seconds and his dog snored every 24 seconds. He noticed on his clock that all 3 things happened together at 10 p.m.
- At what time would all 3 things happen together again?
- How many times would all 3 things happen together again from 10 p.m. to 11 p.m.?
(a)
LCM of 9, 25 and 24 = 1800
1 min = 60 s
1800 s = 1800 ÷ 60 = 30 min
30 min after 10 p.m. is 10:30 p.m.
(b)
From 10 p.m. to 11 p.m. = 1 h
1 h = 60 min
Number of times all 3 things happened together
= 60 ÷ 30
= 2 times
Answer(s): (a) 10:30 p.m.; (b) 2