Question

Mark ran 8 miles in 60 minutes. If Mark continues to run at that same rate, how many minutes will it take him to run 12 miles?

A 48
B 72
C 90
D 96

Answer 1

Mark will take 90 minutes to run 12 miles at the same rate.

Step-by-step explanation:

To find out how many minutes it will take Mark to run 12 miles at the same rate, we can set up a proportion using the distance and time. We know that Mark ran 8 miles in 60 minutes, so the ratio of distance to time is 8 miles / 60 minutes. We can set up an equation to find out how many minutes it will take Mark to run 12 miles:

8 miles / 60 minutes = 12 miles / x minutes

Cross multiplying, we get 8x = 60 * 12. Solving for x, we get x = 60 * 12 / 8 = 90 minutes.

Therefore, it will take Mark 90 minutes to run 12 miles at the same rate.

Answer 2

Mark ran 8 miles in 60 minutes, which is a rate of 8 mph. By setting up a proportion (8 miles / 60 minutes = 12 miles / x minutes) and solving for x, we find out that it would take Mark 90 minutes to run 12 miles, making option C the correct answer.

Step-by-step explanation:

The question asks us to calculate the time it will take for Mark to run 12 miles based on his previous rate of running 8 miles in 60 minutes. To find the answer, we need to set up a proportion because the speed at which Mark runs is constant. The proportion is:

8 miles / 60 minutes = 12 miles / x minutes

We then solve for x to find the time it will take Mark to run 12 miles. First, we cross-multiply to get:

8x = 12 × 60

8x = 720

Next, we divide both sides by 8 to solve for x:

8x / 8 = 720 / 8

x = 90

Therefore, it will take Mark 90 minutes to run 12 miles. This means the answer is option C. It is important to note that Mark's speed is consistent with the given proportion, and that is how we derive the solution.

When comparing to the information that 40 percent of runners ran at speeds of 7.5 miles per hour or less (slower), and 60 percent of runners ran at speeds of 7.5 miles per hour or more (faster), Mark's speed is faster than the 7.5 mph threshold, as he runs 8 miles in 60 minutes (or 8 mph).