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06 Jul 2006, 17:20
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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This problem was already discussed before.. Seems to me that answer A is wrong..
Reasons are : we need to consider three cases.
1. He worked less 34 hours.
2. He worked 34-40 hours
3. He worked more than 40 hours..
When i try to solve, i see only complicated eqauations..And my gut feeling says it's E.. :wall :wall
Any has a quick soln for this ??
In one week a construction worker worked more than 40 hours, and was paid two times his regular hourly rate for every hour worked in excess of 40 hours. If he earned $780, how many hours did he work in that week?
(1) If he had worked 6 more hours that week, his earnings would have been $960.
(2) If he had worked 20 fewer hours that week, his earnings would have been $390 less that week.
https://www.gmatclub.com/phpbb/viewtopi ... =difficult
Reasons are : we need to consider three cases.
1. He worked less 34 hours.
2. He worked 34-40 hours
3. He worked more than 40 hours..
When i try to solve, i see only complicated eqauations..And my gut feeling says it's E.. :wall :wall
Any has a quick soln for this ??
In one week a construction worker worked more than 40 hours, and was paid two times his regular hourly rate for every hour worked in excess of 40 hours. If he earned $780, how many hours did he work in that week?
(1) If he had worked 6 more hours that week, his earnings would have been $960.
(2) If he had worked 20 fewer hours that week, his earnings would have been $390 less that week.
https://www.gmatclub.com/phpbb/viewtopi ... =difficult
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06 Jul 2006, 17:45
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I am getting perfectly (A). I don't know why you want to consider those special cases.
let x be worker's hourse salary. Then we can write 40x+N(2x)=780,
where N is number of hourse worked in excess of 40.
Stem1. 40x+6*2x=960,
or 52x=960
or x=240/13 (or approx $19/hrs)
Substituting x in the original equation we can determine N /SUFF/
Stem2. Not sufficient because we don't know what his regular salary is, so we can not determine the exact salary he would get while working 20 hours less. So, MOT SUFF.
Answer: (A)
let x be worker's hourse salary. Then we can write 40x+N(2x)=780,
where N is number of hourse worked in excess of 40.
Stem1. 40x+6*2x=960,
or 52x=960
or x=240/13 (or approx $19/hrs)
Substituting x in the original equation we can determine N /SUFF/
Stem2. Not sufficient because we don't know what his regular salary is, so we can not determine the exact salary he would get while working 20 hours less. So, MOT SUFF.
Answer: (A)
06 Jul 2006, 17:56
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v1rok
My bad.. I am reading the question wrong.. I somehow got the impression that "if he works more than 40 hours in a week".. But question clearly mentions that he actually worked more than 40 hours that week...
.. 
