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Chelsea traveled from point A to point B and then from point B to poin

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Chelsea traveled from point A to point B and then from point B to poin  [#permalink]

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New post 13 May 2017, 11:55
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Question Stats:

70% (00:58) correct 30% (00:54) wrong based on 57 sessions

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Chelsea traveled from point A to point B and then from point B to point C. If she took 1 hour to complete the trip, what is the total distance she traveled?

(1) From A to B, her average speed was 40 mph, and from B to C her average speed was 60 mph.
(2) Her average speed for the complete trip was 50 mph.

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Chelsea traveled from point A to point B and then from point B to poin  [#permalink]

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New post 13 May 2017, 12:47
1
Consider t to be time take from point A to B . Since we know that for the complete trip from A to C it takes 1 hour therefore the time taken from B to C is (1-t).

Consider Statement A now :

Distance = Speed*Time
D = S*T

D=40*t + 60*(1-t) = 40t - 60t +60 = -20t + 60. Not Sufficient since we dont know the value of t.

Statement 2 :

It states that for the average speed for the complete trip was 50mph. Therefore

Average Speed = Total Speed / Total Time
50 = Total Speed /1
Total Speed = 50 . Sufficient.

Therefore option B is the answer.
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Re: Chelsea traveled from point A to point B and then from point B to poin  [#permalink]

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New post 25 May 2017, 07:31
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Let t hours be the time taken by Chelsea to travel from A to B. Then since the total time taken by her to travel from A to C is 1 hour, the time taken by Chelsea to travel from B to C should be 1 – t in hours.
From Statement (1) alone, we have that from A to B, her average speed was 40 mph and from B to C her average speed was 60 mph. Remember that Distance = Rate *Time. Hence, the distance between A and B = 40 mph t hours, and distance between B and C = 60 mph (1 – t) hours = 40t + 60 – 60t = 60 – 20t. So, the distance traveled depends on t, which is unknown. Hence, Statement (1) alone is not sufficient.
From Statement (2) alone, we have that her average speed is 50 mph. The formula for the Average Speed is Total Distance Traveled ÷ Time Taken. Hence, we have the equation 50 mph = Distance Traveled ÷ 1 hour. Solving this equation yields Distance Traveled = 50 miles. Hence, Statement (2) alone is sufficient.
The answer is (B)
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Re: Chelsea traveled from point A to point B and then from point B to poin &nbs [#permalink] 25 May 2017, 07:31
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