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BECE Mathematics 2014 Paper

Question : 10

Total: 40

Solution:

Concept:

The first time two periodic events happen together is given by the Least Common Multiple (LCM) of their time intervals.

Explanation:

Bell P rings every

3

hours.

Bell Q rings every

4

hours.

Write the multiples of

3

3, 6, 9, 12, 15, \dots

Write the multiples of

4

4, 8, 12, 16, \dots

The smallest common multiple is

12

So, both bells first ring together after

12

hours.

Answer:

12

hours

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