SOLUTION: If a witch flies at 16 miles per hour and it takes her a half hour to get there, how long will it take to fly home if she travels 24 miles per hour?

Question 668420: If a witch flies at 16 miles per hour and it takes her a half hour to get there, how long will it take to fly home if she travels 24 miles per hour?
Found 2 solutions by Alan3354, gwendolyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If a witch flies at 16 miles per hour and it takes her a half hour to get there,
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Find the distance d = r*t
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how long will it take to fly home if she travels 24 miles per hour?
d = r*t
t = d/r

Answer by gwendolyn(128) (Show Source): You can put this solution on YOUR website!
Remember the formula for distance is d=r*t, where d is distance, r is the rate, and t is time.
Let's plug in the rate of the witch (16 mph) and the time it took her (.5 hours) into this equation to find how far she traveled.
d = 16*.5
d = 8
So we know that the witch traveled 8 miles. Her return trip should be the same distance, so we know that her flight home will be 8 miles while travelling 24 mph. We can plug this into the distance formula again to find the time (t) her trip will take:
8 = 24 * t
We divide both sides by 24, and get:
8/24 = t
1/3 = t
So we know that if the witch travels 24 miles per hour home, the journey will take a third of an hour.
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