BTGmoderatorDC 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
Let the pay rate = $1 per hour.
Let Angela's time = 4 hours.
Since Linda works 50% longer, Linda's time = 4 + (1/2)4 = 6 hours.
Since a total of 10 hours are worked at a rate of $1 per hour, the total pay = 10*1 = $10.
Since each worker receives m dollars of the total pay, m=$5.
Since Linda works 6 hours, Angela must give Linda n=$1 so that Linda earns a total of $6 for her 6 hours of work.
The question stem asks for the value of n: $1
Now plug m=5 into the answers to see which yields the target value of $1.
Only
D works:
(1/5)m = (1/5)(5) = 1.
The correct answer is
D.
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