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BECE Mathematics 2017 Paper

Question : 22

Total: 40

Solution:

Concept:

At a constant speed, distance is directly proportional to time. So, use the formula:

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

and then

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

Explanation:

First, find the speed from the first journey.

Distance

= 1.5\text{ km}

, Time

= 30

minutes.

Speed

= \dfrac{1.5\text{ km}}{30\text{ min}} = 0.05\text{ km/min}

Since the speed remains the same, use this speed for the second journey.

Time for the second journey

= 50

minutes.

Distance covered

= \text{Speed} \times \text{Time} = 0.05\text{ km/min} \times 50\text{ min}

Distance

= 2.5\text{ km}

Answer:

2.5\text{ km}

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