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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
A painting crew painted 80 houses. They painted the first y houses at
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24 Aug 2021, 05:18
24 Aug 2021, 05:18
Expert Reply
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Question Stats:
92% (02:38) correct
7% (03:50) wrong based on 14 sessions
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A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 1.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
A. (320 - y)/(5x)
B. (y +320)/(5x)
C. 5(80 - y)/(4x)
D. (y + 400)/(4x)
E. (4y + 320)/(5x)
A. (320 - y)/(5x)
B. (y +320)/(5x)
C. 5(80 - y)/(4x)
D. (y + 400)/(4x)
E. (4y + 320)/(5x)
Re: A painting crew painted 80 houses. They painted the first y houses at
[#permalink]
27 Aug 2021, 10:19
27 Aug 2021, 10:19
Expert Reply
Let w1 and w2 be number of weeks.
So
First Week= x * w1 =y
Second Week = 5/4x * w2 = 80-y (Remaining houses)
Question is to find w1 + w2
i.e y/x + 80-y / 5/4x
= y+320/5x
= B
So
First Week= x * w1 =y
Second Week = 5/4x * w2 = 80-y (Remaining houses)
Question is to find w1 + w2
i.e y/x + 80-y / 5/4x
= y+320/5x
= B
gmatclubot
Re: A painting crew painted 80 houses. They painted the first y houses at [#permalink]
27 Aug 2021, 10:19
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