Two ferries just departed from their docks at the same time. Ferry A departs every 1.2 hours. Ferry B departs every 1.8 hours. How long will it be until both ferries depart from their docks at the same time again?

It will take 36 minutes(0.6 hour) until both ferries depart from their docks at the same time again.

Step-by-step explanation:

Given : Ferry A departs every 1.2 hours.

Ferry B departs every 1.8 hours.

To find : Time taken by both ferries until they depart from their docks at the same time again.

= LCM (1.2, 1.8) hours   [LCM= Least common multiple]

= LCM (1.2(60 minutes), 1.8(60 minutes))    [Since 1 hour = 60 minutes]

= LCM (72 minutes, 108 minutes)

72 = 2 x 2 x 2 x 3 x 3  , 108 = 3 x 3 x 3 x 2 x 2

LCM (72,108) =2 x 2 x 3 x 3 =36

So, it will take 36 minutes until both ferries depart from their docks at the same time again.

In hour =

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