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

JAMB Mathematics 2023 50 views

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?

  1. 4 hrs
  2. 3 hrs ✓
  3. 2 hrs
  4. 1 hr

Explanation

First, find the constant speed of the car. Speed equals distance divided by time. The car travels 225 km in 4.5 hours, so speed equals 225 divided by 4.5 equals 50 km per hour.

Now use this speed to find the time for 150 km. Time equals distance divided by speed. Time equals 150 divided by 50 equals 3 hours.

You can also solve this using ratios. If 225 km takes 4.5 hours, then 150 km takes x hours. Set up proportion: 225 divided by 4.5 equals 150 divided by x. Cross multiply to get 225x equals 675. Divide both sides by 225 to get x equals 3 hours.

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