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Robin drove from Townville to Villageton. Upon arriving in Villageton,

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Bunuel
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Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   25 Mar 2015, 04:30
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70% (01:03) correct 30% (01:11) wrong based on 260 sessions
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Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.


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Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   25 Mar 2015, 04:54
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Bunuel wrote:
Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.


Kudos for a correct solution.


St--1:

The average distance = \(\frac{Total distance}{total time}\)

Let D be the distance, then

Average Speed = \(\frac{2D}{[(D/40)+(D/60)]}\)

= \(\frac{(2*40*60)}{100}\) = \(\frac{4800}{100}\)= 48 Miles Per hour.

Sufficient.

St-2: No Individual speed or time is given. So not sufficient.


Answer : A.
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   25 Mar 2015, 07:00
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Bunuel wrote:
Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.


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Statement A : v=2d/(t1+t2) , v=2d/(d/40+d/60) sufficient.
Statement B : Clearly insufficient. So the answer is A.
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   25 Mar 2015, 12:07
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Bunuel wrote:
Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.


Kudos for a correct solution.


Statement 1 :
r=rate
d=distance
r ((d/40) + (d/60)) = 2d
r = 48
Sufficient

Statement 2 :
distance one way is 120, no times or rates are given
Insufficient

Answer : A
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   25 Mar 2015, 19:58
Bunuel wrote:
Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.


Kudos for a correct solution.



Answer A.

Option 1: Avg. Speed = \(\frac{2*40*60}{40+60}\)
option 2: we just know the distance , D=S*T we need to know 2 values in order to determine the 3rd in distance equation.
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   30 Mar 2015, 04:44
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Bunuel wrote:
Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
robinsaveragespeed_text.PNG
robinsaveragespeed_text.PNG [ 30.27 KiB | Viewed 12107 times ]
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   10 Nov 2016, 18:53
Quick question here.

In stmt1, can I use a smart number for D, let's say D=120?. that way I could solve the question much faster. However, I dont want to do something wrong such as an approach that is not correct. Please confirm whether I can use a number for D in order to solve this question using numbers.
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   13 Nov 2016, 10:49
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I've got one concern - nothing is said in the question whether she took the same course both ways. It could be the case she took different roads, of different lengths. In that case 1) would not be enough.
It's a valid question, no?
What should one do if faced with such problem during the actual exam?
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink] New post   25 May 2021, 09:42
Bunuel shouldn't the question specify that the same route was taken on both journeys?
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, [#permalink]
25 May 2021, 09:42
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