To improve her cardiovascular capacity,Mia wants to increase the distance she walks each day. She now walks 1/2 mile in 8 1/2 minutes. If Mia keeps the same pace, will she be able to walk 1 1/2 miles in less than 1/2 hour?
1.5 = 3 times 1/2
3*8.5 = 25.5 minutes
which luckily is less than 30 minutes
To determine if Mia will be able to walk 1 1/2 miles in less than 1/2 hour, we need to compare the time it takes her to walk her current distance with the time it would take her to walk the new distance.
First, let's convert the time it takes Mia to walk 1/2 mile into minutes. We can do this by converting 8 1/2 minutes into an improper fraction:
8 1/2 minutes = 8 + 1/2 = 16/2 + 1/2 = 17/2 minutes
Now, the next step is to calculate the time it would take Mia to walk 1 1/2 miles at the same pace. We can use a proportion to solve this:
(1/2 mile) / (17/2 minutes) = (1 1/2 miles) / (x minutes)
By cross-multiplication, we have:
(1/2) * x = (1 1/2) * (17/2)
To simplify the right side of the equation:
(1 1/2) * (17/2) = (3/2) * (17/2) = 51/4
Now, we can solve for x:
(1/2) * x = 51/4
To isolate x, we multiply both sides by 2:
x = (51/4) * 2
Simplifying the right side:
x = 102/4 = 25.5
Therefore, it would take Mia approximately 25.5 minutes to walk 1 1/2 miles at the same pace.
Since 25.5 minutes is less than 30 minutes (1/2 hour), Mia will be able to walk 1 1/2 miles in less than 1/2 hour if she maintains the same pace.