three light houses flash their light every 15 seconds,12 seconds and 18 seconds. If they flash together at 9:15 a. M, then at what time will they next flash together?
Answers
time will they next flash together=180 seconds=3min
Thus,time will they next flash together at 9:18 am
The time at which will they next flash together is 9:18 A.M
Given: Three lighthouses flash their light every 15 seconds, 12 seconds, and 18 seconds.
They flash together at 9:15 A.M.
To Find: Time at which will they next flash together
Solution:
It is said that the lighthouses individually flash at 15 seconds,12 seconds, and 18 seconds respectively. So, the time interval in which they will flash together is = LCM of ( 15, 12, 18 )
= ( 2×2×3×3×5 ) seconds
= 180 seconds = 3 minute
It is said that they together flash at 9:15 A.M, next they'll flash after 3 minutes.
= 9:15 A.M + 3 minutes
= 9:18 A.M
Hence, the time at which will they next flash together is 9:18 A.M
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