Fred can run 2 miles in 9 minutes, and Fran can run 3 miles in 12 minutes. Who is traveling faster?
9/2 = 4 1/2 = 1 mile in 4 1/2 minutes
Take it from there.
12/3 =4 miles in 12 minutes
Your answer doesn't make sense. It contradicts the facts in your problem.
Oh... I'm confused
To determine who is traveling faster, we need to calculate their speeds. Speed is typically calculated as distance divided by time.
To find Fred's speed, we divide his distance (2 miles) by his time (9 minutes). So, Fred's speed is 2 miles / 9 minutes.
Similarly, to find Fran's speed, we divide her distance (3 miles) by her time (12 minutes). Thus, Fran's speed is 3 miles / 12 minutes.
Next, let's simplify the fractions. The speed of Fred is 2/9 miles per minute, while the speed of Fran is 3/12 miles per minute.
To compare their speeds, we need to have a common denominator. The least common multiple of 9 and 12 is 36. So, let's rewrite the speeds with a denominator of 36.
Fred's speed is (2/9) * (4/4) = 8/36 miles per minute.
Fran's speed is (3/12) * (3/3) = 9/36 miles per minute.
Now we can see that Fred's speed is 8/36 miles per minute, while Fran's speed is 9/36 miles per minute.
Comparing the two, we can conclude that Fran is traveling faster since her speed (9/36) is greater than Fred's speed (8/36).