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For a week Raymond is paid at the rate of x dollars per hour

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Manager
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For a week Raymond is paid at the rate of x dollars per hour [#permalink] New post 10 Oct 2008, 09:47
For a week Raymond is paid at the rate of x dollars per hour for the first 40 hours he works and y dollars per hour for the hours worked in excess of 40 hours. What is the value of y?
(1) If Raymond works 46 hours in one week, he will earn $416.50.
(2) Raymond’s hourly rate for the hours worked in excess of 40 hours per week is 1.5 times his hourly rate for the first 40 hours.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Manager
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Re: wage [#permalink] New post 10 Oct 2008, 09:55
40x + y(n-40)

statement 1

40x+y(n-40) = 416.5

n=46

still missing x & y

statement 2

1.5y = x

still missing n

both statements

n=46

y=1.5x

40x+1.5x*6 = 416.5

49x=416.5

x=8.5

The answer is (C)

:)
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Re: wage [#permalink] New post 10 Oct 2008, 10:18
Greenberg wrote:
40x + y(n-40)

statement 1

40x+y(n-40) = 416.5

n=46

still missing x & y

statement 2

1.5y = x

still missing n

both statements

n=46

y=1.5x

40x+1.5x*6 = 416.5

49x=416.5

x=8.5

The answer is (C)

:)


C is right. But shouldn't it be Y=1.5X ?? (hours worked in excess (Y) of 40 hours per week is 1.5 times his hourly rate for the first 40 hours(X))
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Manager
Manager
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Joined: 27 Sep 2008
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Re: wage [#permalink] New post 10 Oct 2008, 10:20
amitdgr wrote:

C is right. But shouldn't it be Y=1.5X ?? (hours worked in excess (Y) of 40 hours per week is 1.5 times his hourly rate for the first 40 hours(X))


Yes - my bad

:shock:
Re: wage   [#permalink] 10 Oct 2008, 10:20
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