《●●●HERE IS THE QUESTION ⤴️⤴️⤴️♥️♥️TOPPERS ❤❤•••》
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Answers
Solution :-
Given :-
▪️Duration of period for junior section = 40 min
▪️Duration of period for senior section = 1 hrs (60 min )
▪️The time at which they rang together = 9:00
Now as they will ring together next time when there is no interval between the ringing time , mean the time difference should be a factor of both the the given time periods.
So we have to find out the LCM of 40 and 60 min
Prime factorization of 40
= 2³ × 5
Prime factorization of 60
= 2² × 3 × 5
So LCM
= 2³ × 3 × 5
= 8 × 3 × 5
= 120
So LCM of 40 min and 60 min
= 120 min
= 2 hrs
So They will ring together next time after 2 hrs
That is
= 9:00 + 2:00
= 11:00
There goes ur answer ⬇️⬇️
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⚠️ Duration of a period in Junior section is 40 minutes.
⚠️ Duration of a period in Senior section is 1 hour = 60 minutes.
⚠️ The first bell rang at 9 : 00 .
Now, we have to find when will the two bells ring together again.
✨ Here, we need to take the LCM of 40 minutes and 1 hour.
So, LCM (40, 60) will be
◾40 = 2 * 2 * 2 * 5
◾60 = 2 * 2 * 3 * 5
Thus, LCM = 2 * 2 * 2 * 3 * 5 = 120.
✨ So, the next bell will ring after 120 minutes = 2 hours.
⚫ Therefore, the next bell will ring 2 hours after 09 : 00, i. e., at 11 : 00.
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✨HOPE THIS HELPS ✨