the Bell of School A rings every 30 minutes whereas the bell of school B every 40 minutes both the bells rang together at 10:00 a.m. at what time will both of them together again
Answers
Answer:
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Step-by-step explanation:
You take the LCM of both the numbers first
LCM of 60 and 40 is
60 = 2*3*5*2
40 = 2*2*5*2
LCM = 2*2*2*5*3
= 120
that means the bells will strike together after 120 minutes that is 2 hours
that's is 10am.
Given :- The Bell of School A rings every 30 minutes whereas the bell of school B every 40 minutes both the bells rang together at 10:00 a.m. at what time will both of them together again ?
Solution :-
we know that, the bell will rings again at the same time will be LCM of their individual time.
so, Prime factors of 30minutes and 40 minutes :-
→ 30 = 2 * 3 * 5
→ 40 = 2 * 2 * 2 * 5
→ LCM = 2 * 2 * 2 * 3 * 5 = 120 minutes.
therefore, we can conclude that, both bells will ring again together after 120 minutes or 2 hours.
hence,
→ both of them together again at = 10AM + 2 hours = 12:00 noon.
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