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the captain the chief mate the chief engineer walk around the deck of the ship it takes 4 minutes to the captain to circle the deck of the ship chief mate takes 5 minutes chief engineer takes 6 minutes how many minutes will they meet again at starting point

Sagot :

Answer:

60 minutes

Step-by-step explanation:

Step 1

We Find and list multiples of each number of minutes that each person walked around the deck until the first common multiple is found. This is the lowest common multiple.

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Therefore,

LCM(4, 5, 6) = 60

They would meet again at starting point after 60 minutes

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