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GRE Math Challenge #70-Workers at Companies X and Y
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03 May 2015, 01:24
03 May 2015, 01:24
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Question Stats:
63% (02:38) correct
36% (02:40) wrong based on 46 sessions
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Workers at Companies X and Y are paid the same 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
A. 46
B. 45
C. 44
D. 43
E. 42
Re: GRE Math Challenge #70-Workers at Companies X and Y
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12 Dec 2017, 12:13
12 Dec 2017, 12:13
4
1
sandy wrote:
Workers at Companies X and Y are paid the same 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
A. 46
B. 45
C. 44
D. 43
E. 42
Here,
Company Y work for 46 hr.
Now the company Y will get 1.5 * hourly rate for each hour worked per week in excess of the first 40 hours= {1.5 * (46-40)} + 40 = 9+ 40 =49
Let H = total hours company X worked
therefore the company X will get 1.5 * hourly rate for each hour worked per week in excess of the first 37 hours = {1.5 * (H-37)} + 37
Now amount of pay for company X = amount of pay for company Y, who works for 46 hours
i.e {1.5 * (H-37)} + 37 = 49
or 1.5H - 55.5 + 37 =49
or H = 45 hours.
Hence company X have to work for 45 hours
Re: GRE Math Challenge #70-Workers at Companies X and Y
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27 Mar 2024, 10:36
27 Mar 2024, 10:36
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