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A paint crew gets a rush order to paint 80 houses in a new development
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Updated on: 07 Jun 2017, 06:59
Updated on: 07 Jun 2017, 06:59
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A
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Difficulty:
85%
(hard)
Question Stats:
60% (03:22) correct
40%
(03:11)
wrong
based on 120
sessions
A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week.Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
(A) 0.8(80 – y)
(B) 0.8 + 0.0025y
(C) 80/y – 1.25
(D) 80/1.25y
(E) 80 – 0.25y
(A) 0.8(80 – y)
(B) 0.8 + 0.0025y
(C) 80/y – 1.25
(D) 80/1.25y
(E) 80 – 0.25y
Re: A paint crew gets a rush order to paint 80 houses in a new development
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07 Jun 2017, 06:59
07 Jun 2017, 06:59
Expert Reply
amit10th
A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week.Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
(A) 0.8(80 – y)
(B) 0.8 + 0.0025y
(C) 80/y – 1.25
(D) 80/1.25y
(E) 80 – 0.25y
(A) 0.8(80 – y)
(B) 0.8 + 0.0025y
(C) 80/y – 1.25
(D) 80/1.25y
(E) 80 – 0.25y
Re-worded MGMAT question: https://gmatclub.com/forum/a-painting-c ... 99562.html
Re: A paint crew gets a rush order to paint 80 houses in a new development
[#permalink]
10 Aug 2022, 05:14
10 Aug 2022, 05:14
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If worked at the original rate it takes 80/x weeks
If worked under new scenario it takes y/x + (80 - y)/1.25x = (1.25y + 80 - y) / 1.25x = (0.25y + 80)/1.25x
((0.25y + 80)/1.25x) / (80/x) = 0.0025y + 0.8 B)
If worked under new scenario it takes y/x + (80 - y)/1.25x = (1.25y + 80 - y) / 1.25x = (0.25y + 80)/1.25x
((0.25y + 80)/1.25x) / (80/x) = 0.0025y + 0.8 B)
