Answer:
60 kilometers he will go if he runs at the same pace for 285 minutes.
Step-by-step explanation:
Given : Ted likes to run long distances. He can run 20 km 95 minutes. He wants to know how many kilometers (k) he will go if he runs at the same pace for 285 minutes.
To find : Which proportion could Ted use to model this situation?
Solution :
The relation between distance, speed and time is
Ted can run 20 km in 95 minutes.
The speed is given by,
Let k be the distance in kilometers he will go if he runs at the same pace for 285 minutes.
As speed are equal,
The speed is given by,
The proportion could Ted use to model this situation
Solving the proportion,
Therefore, 60 kilometers he will go if he runs at the same pace for 285 minutes.