SOLUTION: A whistle blows every 14 minutes and a bell rings every 12 minutes. If the whistle and bell both sound together at 12 :00 noon, at what time, afternoon, will they first sound toget
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Question 412375: A whistle blows every 14 minutes and a bell rings every 12 minutes. If the whistle and bell both sound together at 12 :00 noon, at what time, afternoon, will they first sound together again ?
a) 2:48 b) 2:24 c) 1:54 d) 1:24 Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A whistle blows every 14 minutes and a bell rings every 12 minutes.
If the whistle and bell both sound together at 12
:
Find the least common multiple of 12 and 14, prime factor both:
12: 2,2,3
14: 2,7
then 2*2*3*7 = 84 is the LCM of 12 and 14
:
84 minutes = 1 hr 24 min
:
12:00 + 1:24 = 1:24 PM