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BECE Mathematics 2019 Paper

Question : 21

Total: 40

Solution:

Concept:

Speed is constant, so time is directly proportional to distance. Use

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

Explanation:

The man covers

8\text{ km}

1\text{ hour}

Therefore, his speed is

\dfrac{8\text{ km}}{1\text{ hr}} = 8\text{ km/hr}

Let

x

be the time required to cover

12\text{ km}

at the same speed.

Using the formula,

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}

, we get:

8 = \frac{12}{x}

Multiply both sides by

x

8x = 12

Divide both sides by

8

x = \frac{12}{8} = \frac{3}{2}

So,

x = 1\frac{1}{2}\text{ hours}

Answer:

Option B:

1\frac{1}{2}\text{ hrs}

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