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Difficulty:
65%
(hard)
Question Stats:
62% (02:26) correct
38%
(02:34)
wrong
based on 723
sessions
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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
02 Feb 2012, 14:10
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Linda and Angela contract to paint a neighbour'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
After the final transaction:
Angela received $(m - n) for t hours;
Linda received $(m + n) for 1.5t hours;
We are told that after that transaction they received the same compensation per hour \(\frac{(m - n)}{t}=\frac{(m+n)}{1.5t}\):
\(1.5m-1.5n=m+n\);
\(m=5n\);
\(n=\frac{m}{5}\).
Answer: D.
Hope it's clear.
A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m
After the final transaction:
Angela received $(m - n) for t hours;
Linda received $(m + n) for 1.5t hours;
We are told that after that transaction they received the same compensation per hour \(\frac{(m - n)}{t}=\frac{(m+n)}{1.5t}\):
\(1.5m-1.5n=m+n\);
\(m=5n\);
\(n=\frac{m}{5}\).
Answer: D.
Hope it's clear.
03 Feb 2012, 02:48
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abhi47
You could also assume some values here:
A - 2 hrs, L - 3 hrs (50% more)
Each gets total $60.
Had they received same compensation per hr worked, per hr compensation would have been $120/5 = 24 (Total compensation/Total hrs)
Angela would have got 24*2 = $48
So she should give (60 - 48) = $12 i.e. 1/5 th of $60 to Linda.
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