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# A worker is paid x dollars for the first 8 hours he works each day. He

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
A worker is paid x dollars for the first 8 hours he works each day. He  [#permalink]

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05 Nov 2017, 01:48
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Difficulty:

55% (hard)

Question Stats:

76% (01:39) correct 24% (02:31) wrong based on 37 sessions

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A worker is paid x dollars for the first 8 hours he works each day. He is paid y dollars per hour for each hour he works in excess of 8 hours. During one week he works 8 hours on Monday, 11 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, and 9 hours on Friday. What is his average daily wage in dollars for the 5-day week?

(A) x + 1.4y
(B) 2x + y
(C) (5x + 8y)/5
(D) 8x + 1.4y
(E) 5x + 7y

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A worker is paid x dollars for the first 8 hours he works each day. He  [#permalink]

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05 Nov 2017, 09:17
Bunuel wrote:
A worker is paid x dollars for the first 8 hours he works each day. He is paid y dollars per hour for each hour he works in excess of 8 hours. During one week he works 8 hours on Monday, 11 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, and 9 hours on Friday. What is his average daily wage in dollars for the 5-day week?

(A) x + 1.4y
(B) 2x + y
(C) (5x + 8y)/5
(D) 8x + 1.4y
(E) 5x + 7y

Each day he works for 8 hours, he earns $$x$$ dollars.

After 8 hours' of work on any one day, he earns $$y$$ dollars per hour

M = 8 hrs = $$$x$$ T = 11 = (8 + 3) hrs =$$$(x + 3y)$$
W = 9 hrs = (8 + 1)hr = $$$(x + 1y)$$ Th = 10 hrs = (8 + 2)hrs =$$$(x + 2y)$$
F = 9 hrs = (8 + 1)hrs = $$$(x + 1y)$$ Total them: x + x + 3y + x + 1y + x + 2y + x + 1y =$(5x + 7y)

Divide by 5 days in a work week to get average daily wage in dollars

$$\frac{5x+7y}{5}= x + 1.4y$$

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Math Expert
Joined: 02 Aug 2009
Posts: 6959
Re: A worker is paid x dollars for the first 8 hours he works each day. He  [#permalink]

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05 Nov 2017, 09:25
Bunuel wrote:
A worker is paid x dollars for the first 8 hours he works each day. He is paid y dollars per hour for each hour he works in excess of 8 hours. During one week he works 8 hours on Monday, 11 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, and 9 hours on Friday. What is his average daily wage in dollars for the 5-day week?

(A) x + 1.4y
(B) 2x + y
(C) (5x + 8y)/5
(D) 8x + 1.4y
(E) 5x + 7y

Hi..

he earns x dollars every day and it does not vary, so our choice should have ONLY x..
ONLY A and C are left... in C too it is 5x/5 so x...

Now let's work on y
total hour $$8+11+10+9+9=47$$... but he is already paid for $$8*5=40$$, so left is $$47-40=7$$
he gets paid y per hour, so 7y average = $$\frac{7y}{5} = 1.4y$$
A is left

ans $$x+1.4y$$
A
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Re: A worker is paid x dollars for the first 8 hours he works each day. He &nbs [#permalink] 05 Nov 2017, 09:25
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