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14 Jul 2017, 21:38
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:30) correct 40% (02:07) wrong based on 23 sessions

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Blake's gross wage for a 40 hour week is $20. Overtime is paid at a rate of one-sixth more than the gross. Find the number of hours that he has to work in a week in order to earn a total of$23.50.

(A) 43
(B) 44
(C) 45
(D) 46
(E) 47

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Joined: 02 May 2016
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GRE 1: Q163 V154
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Re: Blake's gross wage for a 40 hour week is $20. [#permalink] ### Show Tags 15 Jul 2017, 05:44 Don't know what took me 9 minutes to solve this one. For 40 hrs ===$20
For 1 hr === $0.5 Overtime for 1 hr = $$\frac{1}{6}$$th more than gross ---> (1+$$\frac{1}{6}$$)*0.5 =$$$\frac{3.5}{6}$$

To get 23, he will work for 40 hrs, earning him $20. For remaining$3.5,
$$$\frac{3.5}{6}$$ = overtime for 1 hr$3.5 = overtime for ? hr
Solving this gives us 6 hrs.
So he works 40+6 = 46 hrs.

Hence D.
Math Expert
Joined: 02 Aug 2009
Posts: 7570
Re: Blake's gross wage for a 40 hour week is $20. [#permalink] ### Show Tags 15 Jul 2017, 07:00 TimeTraveller wrote: Blake's gross wage for a 40 hour week is$20. Overtime is paid at a rate of one-sixth more than the gross. Find the number of hours that he has to work in a week in order to earn a total of $23.50. (A) 43 (B) 44 (C) 45 (D) 46 (E) 47 Hi.. Ofcourse it is above 600 level... AkshayKS21, a slight logic will make it LESS time consuming.. He earns$20 for 40 hour, but now he earns $23.5.. So$3.5 extra.

But he gets 1/6th more so 7/6 of normal..
So in normal he would earn $3.5*6/7=$3..
If 20 in 40 hour..
3 in 3*40/20=6 hour..

Total 40+6=46 HR
D
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