Five bells commence tolling together and toll at intervals of 2,4,6,8 and 10 seconds respectively.Find in 40 minutes, how many times do they toll together?
Answers
Answered by
20
Answer:
Step-by-step explanation: LCM of 2, 4, 6, 8, 10 is 120 seconds.
Which is equal to 2 minutes
Number of times bell toll together in 40 minutes is
=40÷2+1
=20+1
=21 times
Answered by
0
Answer:
21
Step-by-step explanation:
Given that 5 bells commence tolling together and tolls at interval of 2,4,6,8 and 10 sec. For all bells to toll together we will employ concept of Least Common Multiple i.e, LCM of (2,4,6,8,10).
Since LCM of 2,4,6,8,10 is 240, so after 120 sec (= 2 min) all 5 bells will toll again.
⇒ Thus, in 40 minutes they will toll all together 40/2 = 20 times.
Including 1st time when they commence together, we can say that right from the begining till 40 minutes, they will toll 21 times together
#SPJ2
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