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Sam, Mark and Joe work every day of the week, and each works the same

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Sam, Mark and Joe work every day of the week, and each works the same [#permalink]

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New post 02 Jan 2018, 23:44
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72% (01:47) correct 28% (02:10) wrong based on 32 sessions

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Sam, Mark and Joe work every day of the week, and each works the same number of hours as he did the day before. In 7 days, they earn $252 in total. If each receives the same rate per person per hour, and Mark worked twice as many hours as Sam and Joe worked three times as many hours as Mark, how much money does Mark earn in 5 days?

A. $24
B. $30
C. $36
D. $40
E. $50
[Reveal] Spoiler: OA

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Re: Sam, Mark and Joe work every day of the week, and each works the same [#permalink]

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New post 03 Jan 2018, 01:22
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Let Sam worked = x hrs in a 7 days
Mark worked = 2x hr
Joe worked = 6x hr

S:M:J = 1:2:6

Mark's contribution = 2/(1+2+6)

Total amount earned = $252
Mark' Amount = 2/9*252 = $56
Mark's amount for 5 days = 5/7*56= $40

Ans D

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Re: Sam, Mark and Joe work every day of the week, and each works the same [#permalink]

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New post 05 Mar 2018, 01:38
S+M+J=$252/7 so we get per day.. (1)
S+M+J=$36 per day
M=2S… S=M/2..(2)
J=3M.. (3)
Substitute (2) and (3) in (1) and solve for M: M/2+3M+M=$36…..M=$8 per day, so in 5 days M will earn $40. Answer D
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Re: Sam, Mark and Joe work every day of the week, and each works the same [#permalink]

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New post 23 Mar 2018, 13:51
I think that this question is a 600+ question.
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Re: Sam, Mark and Joe work every day of the week, and each works the same [#permalink]

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New post 28 Mar 2018, 10:38
Bunuel wrote:
Sam, Mark and Joe work every day of the week, and each works the same number of hours as he did the day before. In 7 days, they earn $252 in total. If each receives the same rate per person per hour, and Mark worked twice as many hours as Sam and Joe worked three times as many hours as Mark, how much money does Mark earn in 5 days?

A. $24
B. $30
C. $36
D. $40
E. $50


We can let x = the hourly rate for each person, s = the number of hours Sam works per day, m = the number of hours Mark works per day, and j = the number of hours Joe works per day.

We are given that m = 2s and j = 3m = 3(2s) = 6s. Thus, in terms of s and x, we can create the following equation:

7sx + 7(2s)x + 7(6s)x = 252

7sx + 14sx + 42sx = 252

63sx = 252

sx = 4

We are asked for the amount of money earned by Mark in 5 days. In 5 days, Mark earns:

5(2s)x = 10sx = 10(4) = 40 dollars

Answer: D
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Re: Sam, Mark and Joe work every day of the week, and each works the same   [#permalink] 28 Mar 2018, 10:38
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