Posted by **Lisa** on Wednesday, March 19, 2008 at 7:04pm.

A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the round trip?

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**Ms. Sue**, Wednesday, March 19, 2008 at 7:18pm
Her average speed was 35 miles per hour. Since the round trip took her 1 hour, what was the total number of miles in the round trip?

If you post your answer, we'll be glad to check it.

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**Damon**, Wednesday, March 19, 2008 at 7:18pm
went t hours at 40

went (1-t) at 30

so

40 t = 30 (1-t)

70 t = 30

t = 3/7 of an hour

distance at 40 = (3/7)(40) = 120/7

distance at 30 = (4/7)(30) = 120/7 better be the same:) check

so total distance = 240/7

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**Lisa**, Wednesday, March 19, 2008 at 7:25pm
I forgot to mention that this is an SAT question of the Day and they give you options for answers. The options are:

30

30 1/7

34 2/7

35

40

Sorry if the way I put it was confusing.

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**Damon**, Wednesday, March 19, 2008 at 7:30pm
240/7 = 34 2/7

not allowed to use average because distance, not time, is the same

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**Damon**, Wednesday, March 19, 2008 at 7:31pm
I did not see that SAT question of the day. I usually do them.

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**Lisa**, Wednesday, March 19, 2008 at 7:33pm
Oh, this question is from a while ago. They are very helpful in preparing for the SAT. Thank you for your help.

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