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Water ejected through the nozzle of three musical fountains at the interval of 36 sec., 40 sec. and 48 sec. They start together at a particular time. Find at what interval of time they will eject together.

Water ejected through the nozzle of three musical fountains at the interval of 36 sec., 40 sec. and 48 sec. They start together at a particular time. Find at what interval of time they will eject together. Correct Answer 12 minutes

Given:

Interval of ejection of water in three musical fountains is 36 sec., 40 sec. and 48 sec.

Concept used:

Time after which water eject together = LCM of intervals

Calculation:

Interval of ejection of water in three musical fountains is 36 sec., 40 sec. and 48 sec.

Time after which water eject together = LCM of 36, 40, and 48 seconds.

⇒ Time after which water eject together = 720 seconds = 720/60 = 12 minutes.

∴ They will eject together every 12 minutes.

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