Question

- 3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes respectively. Since they start together, when will they meet again at the starting position?

Answer 1

Given :-

• 3 birds fly along the circumference of a jungle.
• Time Taken by First bird to complete one round = 27 Minutes .
• Time Taken by second bird to complete one round = 45 Minutes .
• Time Taken by Third bird to complete one round = 63 Minutes .

To Find :-

• when will they meet again at the starting position ?

Concept :-

• In circular Track , To find the time of First meeting at starting Point is Equal to The LCM of Time taken by them to cover 1 Round.

Solution :-

LCM of 27, 45 & 63 :-

→ 27 = 3 * 3 * 3 = 3³

→ 45 = 3 * 3 * 5 = 3² * 5

→ 63 = 3 * 3 * 7 = 3² * 7

LCM = 27 * 5 * 7 = 945 Minutes.

Hence, All Three Birds Meet after 945 Minutes again at the starting position .

Answer 2

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$\huge\tt{GIVEN:}$

• 3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes respectively

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$\huge\tt{TO~FIND:}$

• If they start together, when will they meet again at the starting position?

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$\huge\tt{SOLUTION:}$

Using the L.C.M Method,

➠LCM or Least Common Multiple of 27,45 & 63 is 945

,which means the three birds would meet after 945 minutes

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