Question

A 150 km trip was covered by a motorcycle going at an average speed of 75 km/h, by a bus doing 60 km/h, by a truck doing 50 km/h, and by a bicycle doing 20 km/h What is the constant of variation?

Answer 1

3

Explanation:

i only know that answer is 3

Answer 2

The constant of variation, in this context, would be the time, because it's the ratio between the distance covered and the average speed.

So, to find each constant, we use the definition of a constant movement:

`d=st\\t=(d)/(s)`

Motorcycle.

`d=150km`

`s=75 km/h`

Using the constant relation, we have:

`t=(150km)/(75km/h)=2h`

Bus.

`d=150km`

`s=60km/h`

`t=(150km)/(60km/h)=2.5h`

Truck.

`d=150km`

`s=50km/h`

`t=(150km)/(50km/h)=3h`

Bicycle.

`d=150km`

`s=20km/h`

`t=(150km)/(20km/h)=7.5h`

There we have each ratio for each case. Overall, there's no a constant variation between times, because the bicycle is way to different from the motorcycle and truck time, that's why we take each ration as a constant for each case particularly.