SOLUTION: To improve her cardiovascular capacity, Mis 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

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Question 1029029: To improve her cardiovascular capacity, Mis 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?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
1/2 = .5 miles
8 and 1/2 = 8.5 minutes

1 and 1/2 = 3/2 = 1.5 miles

assuming the rate is the same, then .5/8.5 = 1.5/x

cross multiply to getr .5*x = 1.5*8.5 = 12.75.

divide both sides of this equation by .5 to get x = 25.5 minutes.

that's less than half an hour.

the answer is yes.

you can also use the rate * time = distance formula.

rate * 8.5 minutes = .5 miles.

solve for rate to get rate = .5 / 8.5 = 1/17 miles per minute.

at the same rate, for a distance of 1.5 miles, the equation of rate * time = distance becomes:

1/17 * time = 1.5 miles.

solve for time to get time = 1.5 / (1/17) = 1.5 * 17 = 25.5 minutes.

25.5 minutes is less than a half an hour because a half an hour is equal to 30 minutes.