SOLUTION: Mrs. Smith drove her daughter to school at an average rate of 45 miles per hour. She returned home by the same route at an average rate of 30 miles per hour. If the trip took one-h

Question 1162989: Mrs. Smith drove her daughter to school at an average rate of 45 miles per hour. She returned home by the same route at an average rate of 30 miles per hour. If the trip took one-half hour, How long did it take to get to school? How far is the school from their home?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
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This problem is a TWIN to the other problem, which I solved for you 5 minutes ago. See the link

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1162990.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1162990.html

Having this TEMPLATE in front of you, solve the given problem BY THE SAME WAY on your own.

Happy solving (!)

If you have any difficulties or questions regarding the solution --- then let me know.

Do not forget to post your "thanks" to me for my teaching.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

The distances to and from school are the same. So, since the ratio of the two speeds is 45:30 = 3:2, the ratio of times at the two speeds is 2:3.

So 2/5 of the total 1/2 hour was spent driving to school; that's 1/5 of an hour, or 12 minutes.

That makes the distance to school (1/5 hour)*(45mph) = 9 miles.

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