Luke was trying to sleep one night but there was too much noise around him. His clock ticked every 15 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 7 p.m.
- At what time would all 3 things happen together again?
- How many times would all 3 things happen together again from 7 p.m. to 9 p.m.?
(a)
LCM of 15, 16 and 25 = 1200
1 min = 60 s
1200 s = 1200 ÷ 60 = 20 min
20 min after 7 p.m. is 7:20 p.m.
(b)
From 7 p.m. to 9 p.m. = 2 h
1 h = 60 min
2 h = 2 x 60 = 120 min
Number of times all 3 things happened together
= 120 ÷ 20
= 6 times
Answer(s): (a) 7:20 p.m.; (b) 6