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07 Apr 2019, 11:00
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Difficulty:

35% (medium)

Question Stats:

70% (02:34) correct 30% (02:33) wrong based on 20 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] ### Show Tags 07 Apr 2019, 11:31 1 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. _________________ Press +1 Kudo If my post helps! Jack and John undertake a piece of work for$6000. Jack alone could do   [#permalink] 07 Apr 2019, 11:31
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