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BECE Mathematics 2012 Paper

Question : 29

Total: 40

A watch gains

1 \;\frac{1}{2}

Solution:

Concept:

Total gain = rate of gain × total time elapsed.

Explanation:

From 12 noon to 12 midnight, the time elapsed is 12 hours.

Convert the mixed fraction

1 \frac{1}{2}

to an improper fraction:

1 \frac{1}{2} = \frac{3}{2}

minutes per hour.

Multiply the rate of gain by the number of hours:

\frac{3}{2} \times 12 = 18

minutes.

Thus, the watch gains 18 minutes in 12 hours.

Answer:

18 minutes (Option C).

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