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GRE Prep Club Team Member
Joined: 20 Feb 2017
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Linda and Angela contract to paint a neighbor's house. Even though Lin
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04 Jun 2021, 23:15
04 Jun 2021, 23:15
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Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m
A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m
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Linda and Angela contract to paint a neighbor's house. Even though Lin
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05 Jun 2021, 11:11
05 Jun 2021, 11:11
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GeminiHeat wrote:
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m
A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m
Let Angela work for 10 hours and earn \(m\) dollars
So, Linda works for 15 hours and earn \(m\) dollars
After Angela has given Linda \(n\) dollars, they will earn same hourly rate
i.e. \(\frac{(m+n)}{15} = \frac{(m-n)}{10}\)
\(\frac{(m+n)}{3} = \frac{(m-n)}{2}\)
\(2m + 2n = 3m - 3n\)
\(m = 5n\)
\(n = \frac{m}{5}\)
Hence, option D
gmatclubot
Linda and Angela contract to paint a neighbor's house. Even though Lin [#permalink]
05 Jun 2021, 11:11
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