Four bells are ringing at intervals of 40,30,36 and 45 minutes respectively . at what time will they ring together again if they start ringing simultaneously at 9 a.m.
Answers
Answer:
3 pm
Step-by-step explanation:
LCM of 40min,30min,36min,45min
= 360min
1min= 1 upon 60 hrs
360÷60
6hrs
because there was 9:00am
so 9:00am + 6 hrs
=3pm
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Answer:
The four Bells will ring simultaneously at 3pm.
Step-by-step explanation:
Four bells are ringing at intervals of 40,30,36 and 45 minutes respectively .
To know the time of when the four Bells will ring,we have to calculate the L.C.M. of 40,30,36 and 45 minutes.
L.C.M. of 30,40,36 and 45:
prime factors of 30= 2×3×5
prime factors of 40= 2×2×2×5
prime factors of 36= 2×2×3×3
prime factors of 45= 3×3×5
LC.M. of 30,40,36 and 45=2×2×2×3×3×5= 360 minutes= 360÷60=6 hours.
The four Bells will ring after 6 hours.
if the bells ring simultaneously at 9AM, then they will ring again after 6 hours.
At that time the time will be 3PM.
Conclusion:
The bell will ring simultaneously at 3pm