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

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Math Expert
Joined: 02 Sep 2009
Posts: 58347
Sam, Mark and Joe work every day of the week, and each works the same  [#permalink]

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02 Jan 2018, 23:44
00:00

Difficulty:

25% (medium)

Question Stats:

82% (02:32) correct 18% (03:23) wrong based on 34 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

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Manager
Joined: 23 Feb 2017
Posts: 58
Re: Sam, Mark and Joe work every day of the week, and each works the same  [#permalink]

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03 Jan 2018, 01:22
2
1
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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Joined: 22 Oct 2013
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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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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
Intern
Joined: 01 Feb 2018
Posts: 17
Re: Sam, Mark and Joe work every day of the week, and each works the same  [#permalink]

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23 Mar 2018, 13:51
I think that this question is a 600+ question.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
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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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28 Mar 2018, 10:38
1
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

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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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17 May 2019, 18:15
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Re: Sam, Mark and Joe work every day of the week, and each works the same   [#permalink] 17 May 2019, 18:15
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