Answer :
Final answer:
The amount of time it would take Leon to run 18 km at the same speed he ran 10 km in 50 minutes is 90 minutes. This was determined by setting up and solving a proportion.
Explanation:
In this question, we are given that Leon runs 10 km in 50 minutes and we are asked to find out how long it would take for him to run 18 km assuming he runs at the same speed. In such situations, we use the concept of ratios or proportions: if Leon runs 10 km in 50 minutes, then we can set up a ratio to find out how long it would take him to run 18 km. That is to say, if the speed remains exactly the same, the distance and time will have a direct proportional relationship.
Now, let's set up the ratio: 10 km is to 50 minutes as 18 km is to X minutes, where X is the time we want to find. Thus, we can set up the following equation based on the relation: 10/50 = 18/X. To solve for X, we cross-multiply and divide: X = (18 * 50) / 10, which simplifies to X = 90 minutes.
So, if Leon continues to run with the same speed, it should take him 90 minutes to run 18 km. Therefore, the answer is a) 90 minutes.
Learn more about Ratio and Proportion here:
https://brainly.com/question/31776433
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