In a school, the bell for the middle school rings every 30 minutes and the bell for the senior school rings every 40 minutes. the two bells start to ring together at 8.00 a.m. At what time will they ring together again.
Answers
Answer:
you have to find the LCM of both and then add it to tht time given
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 8:00 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 = 8:00AM + 2 hours = 10:00AM.
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