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1.Workers at Companies X and Y are paid the same
, respectively. What is the probability that
base hourly rate. Workers at company X are paid 1.5
times the base hourly rate for each hour worked per
week in excess of the first 37, while workers at
Company Y are paid 1.5 times the base hourly rate
for each hour worked per week in excess of the first
40. In a given week, how many hours must a
Company X worker work in order to receive the
same pay as a company Y worker who works 46
hours?
(A) 46
(B) 45
(C) 44
(D) 43
(E) 42
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Let's call the hourly wage z
46 hours at company Y: 40z + (46-40) * 1.5z = 49z
how long does it take someone at X to make 49z? Let's call Q the number of overtime hours, i.e. those in excess of 37 in this case.
37z + 1.5Qz = 49z
1.5Qz = 12z
1.5Q = 12
Q = 8
So he would have to work 45 hours.
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excellent
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