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On a partly cloudy day, Derek decides to walk back from work

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Manager
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G
Joined: 14 Oct 2012
Posts: 180

Kudos [?]: 63 [0], given: 966

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Re: On a partly cloudy day, Derek decides to walk back from work [#permalink]

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New post 23 Apr 2017, 16:09
My 2 cents:
My solution based on the veritas article: https://www.veritasprep.com/blog/2013/0 ... -the-gmat/
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Kudos [?]: 63 [0], given: 966

Director
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G
Joined: 07 Dec 2014
Posts: 884

Kudos [?]: 306 [0], given: 17

Re: On a partly cloudy day, Derek decides to walk back from work [#permalink]

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New post 23 Apr 2017, 19:53
emmak wrote:
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?

A. 1/4
B. 4/5
C. 1/5
D. 1/6
E. 1/7


let s=sunny distance
c=cloudy distance
total distance=s+c miles
total time=s/2+c/3=(3s+2c)/6 hours
(s+c)/[(3s+2c)/6]=2.8 mph average speed
s/c=1/6
s/(s+c)=1/7
E

Kudos [?]: 306 [0], given: 17

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Joined: 31 Dec 2016
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On a partly cloudy day, Derek decides to walk back from work [#permalink]

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New post 05 Jul 2017, 17:27
D=distance,
R= Rate
T= Time

D1=Distance (1)
D2= Distance (2)
T1 = Time (1)
T2 = Time (2)
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Kudos [?]: 13 [0], given: 22

Manager
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Joined: 09 Jun 2015
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Re: On a partly cloudy day, Derek decides to walk back from work [#permalink]

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New post 24 Dec 2017, 21:37
emmak wrote:
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?

A. 1/4
B. 4/5
C. 1/5
D. 1/6
E. 1/7

Since the average speed is 2.8, s has to be 2. The speed ratio is 2:3 and the time ratio is 1:4; therefore, the required ratio is 2/(2+12) = 1/7.

Kudos [?]: 9 [0], given: 0

Re: On a partly cloudy day, Derek decides to walk back from work   [#permalink] 24 Dec 2017, 21:37

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On a partly cloudy day, Derek decides to walk back from work

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