Athlete J runs 2/3 of a mile in 8 minutes. Athlete H runs 2 3/4 miles in 1/2 hour.
Part A: If Athlete J continues at that speed, how long will it take to run one mile?
Part B: How long will it take Athlete J to run 5 miles at that same speed?
A: 8 min / (2/3) = ?
B: ? * 5
I need an exact answer this is a unit asessment
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what are those question marks for
To find the answer to part A, we need to calculate the time it takes for Athlete J to run one mile.
First, we should convert 2/3 of a mile to a time unit. We know that Athlete J runs 2/3 of a mile in 8 minutes. To find how long it takes to run one mile, we can set up a proportion:
(2/3 mile) / (8 minutes) = (1 mile) / (x minutes)
To solve for x, we can cross-multiply and divide:
(2/3) * x = 8 * 1
x = 8 * 1 * (3/2)
x = 24/2
x = 12
Therefore, it will take Athlete J 12 minutes to run one mile.
Now, let's move on to part B.
To find how long it will take Athlete J to run 5 miles at the same speed, we can set up another proportion:
(2/3 mile) / (8 minutes) = (5 miles) / (x minutes)
Again, to solve for x, we cross-multiply and divide:
(2/3) * x = 8 * 5
x = (8 * 5) * (3/2)
x = 40 * (3/2)
x = 60
Therefore, it will take Athlete J 60 minutes (or 1 hour) to run 5 miles at the same speed.