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(d) Two alarm clocks are set to ring at intervals of 42 minutes and 56 minutes respectively. If the alarm clocks ring together at 0830, at what time will they next ring together again?​

Sagot :

Answer:

11:18

Step-by-step explanation:

the lowest common multiple [meaning the nearest possible time these clocks will be ringing at the same time] of 42 and 56 is 168

(56 x 3 = 168 ; 42 x 4 = 168)

So, in 168 minutes, the clock will ring together again.

Now, we need to add 168 minutes to 08:30

(168 can be made up of 2 hours and 48 minutes [120 + 48 = 168])

08:30 + 2 hours = 10:30

10:30 + 48 minutes = 11:18

So, at 11:18, these clocks will ring together again