Ted likes to run long distances. He can run 20 km 20 km20, start text, space, k, m, end text in 95 9595 minutes. He wants to know how many kilometers ( k ) (k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285 285285 minutes. How far will Ted run in 285 285285 minutes?

The distance in kilometer that Ted will go if he runs at the same pace for 285 minutes is 60km

Step-by-step explanation:

It was given that Ted Ted runs 20 km in 95 minutes, so for us to know how many kilometers he runs at the same pace for 285 minutes by using proportion.

For Ted to run 20 km in 95 minutes.

where given distance= 20km

Given time =95minutes

Speed=20/95 .............eqn(1)

To calculate the distance in kilometers Ted will go if he runs at the same pace for 285 minutes, then

Speed= K/225 ...............eqn(2)

Let us represent distance with 'K'

Given time 225minutes

Equating eqn(1) and eqn(2)

Hence the proportion model that Ted could use in modelling this situation is this;

Cross multiply

K×95=20×225

The distance in kilometer that Ted will go if

he runs at the same pace for 285 minutes is 60km