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Jack and John undertake a piece of work for $6000. Jack alone could do

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Jack and John undertake a piece of work for $6000. Jack alone could do  [#permalink]

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New post 07 Apr 2019, 11:00
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A
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C
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E

Difficulty:

  35% (medium)

Question Stats:

71% (02:31) correct 29% (02:49) wrong based on 41 sessions

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Jack and John undertake a piece of work for $6000. Jack alone could do the work in 6 days and John in 8 days. With the assistance of a Tom, they finish it in 3 days. How much money does Tom get paid?

A. $750
B. $1000
C. $820
D. $2000
E. $1200
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Jack and John undertake a piece of work for $6000. Jack alone could do  [#permalink]

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New post 07 Apr 2019, 11:31
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Jack = 6 days
John = 8 days
Tom = x days
All together, they finish the job in 3 days.

\(\frac{1}{6}+\frac{1}{8}+\frac{1}{x} = \frac{1}{3}\)

Solving for x, we get 24 days.

Let the total work to be done be LCM(6,8,24) = 24
Jack does 4 units in a day
John does 3 units per day
Tom does 1 unit per day

Work done ratio is 4:3:1
Tom gets paid, \(\frac{1}{8}*6000 = 750\)

A is the answer.
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Jack and John undertake a piece of work for $6000. Jack alone could do   [#permalink] 07 Apr 2019, 11:31
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Jack and John undertake a piece of work for $6000. Jack alone could do

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