Question Video: Applying Direct Variation to Solve a Problem Involving the Motion of a Car | Nagwa Question Video: Applying Direct Variation to Solve a Problem Involving the Motion of a Car | Nagwa

# Question Video: Applying Direct Variation to Solve a Problem Involving the Motion of a Car Mathematics • Third Year of Preparatory School

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A car travels 240 km in 3 hours, with uniform velocity. If the car continues at the same speed, what distance will be covered in 5 hours?

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### Video Transcript

A car travels 240 kilometers in three hours with uniform velocity. If the car continues at the same speed, what distance will be covered in five hours?

There are several ways we could approach this problem. Since the car travels with uniform velocity, one way would be to calculate this velocity by dividing the distance by the time. We are told that the car travels 240 kilometers in three hours. Since 240 divided by three is 80, the velocity the car is traveling at is 80 kilometers per hour.

We are asked to calculate the distance that will be covered in five hours if the car continues at the same speed or velocity. We can calculate this by multiplying 80 kilometers per hour by five hours. This is equal to 400 kilometers. If the car continues at the same speed, it will have covered a distance of 400 kilometers in five hours.

An alternative method would be to set up a table involving the time in hours and distance in kilometers as shown. We know that in three hours the car traveled a distance of 240 kilometers. Dividing both of these numbers by three, we see that the car would have traveled 80 kilometers in one hour. We can then multiply both values by five to prove that the car would have traveled a distance of 400 kilometers in five hours.

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