Question
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?
Answers
Ms. Sue
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.
If you post your answer, we'll be glad to check it.
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
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
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.
240/7 = 34 2/7
not allowed to use average because distance, not time, is the same
not allowed to use average because distance, not time, is the same
I did not see that SAT question of the day. I usually do them.
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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