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If a car runs at a constant speed and takes 4 5... - JAMB Mathematics 2023 Question

 

If a car runs at a constant speed and takes 4.5 hrs to run a distance of 225 km, what time it will take to run 150 km?

A

2 hrs

B

4 hrs

C

3 hrs

D

1 hr

correct option: c

We can use the formula \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \) to find the speed of the car. Once we have the speed, we can use it to find the time required to cover a different distance.

Given that the car takes 4.5 hours to cover 225 km, we can find the speed:

\[ \text{Speed} = \frac{225 \, \text{km}}{4.5 \, \text{hrs}} = 50 \, \text{km/hr} \]

Now that we know the speed, we can find the time required to cover 150 km:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{150 \, \text{km}}{50 \, \text{km/hr}} = 3 \, \text{hrs} \]

Therefore, the correct answer is 3 hrs

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