Owen 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 16 seconds and his dog snored every 25 seconds. He noticed on his clock that all 3 things happened together at 9 p.m.
- At what time would all 3 things happen together again?
- How many times would all 3 things happen together again from 9 p.m. to 11 p.m.?
(a)
LCM of 9, 16 and 25 = 3600
1 min = 60 s
3600 s = 3600 ÷ 60 = 60 min
60 min after 9 p.m. is 9:60 p.m.
(b)
From 9 p.m. to 11 p.m. = 2 h
1 h = 60 min
2 h = 2 x 60 = 120 min
Number of times all 3 things happened together
= 120 ÷ 60
= 2 times
Answer(s): (a) 9:60 p.m.; (b) 2