A can do a piece of work in 18 days. B in 27 days and C in 36 days.
A can do a piece of work in 18 days. B in 27 days and C in 36 days. They start working together but only C works till the completion. A leaves 7 days and B leaves 8 days before the completion of work. The whole work was completed in
Answer is: [C] 14 days
Explanation:
A can do a piece of work in 18 days,--------A's rate is 1/18 job/day
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B in 27 days -------------------------------B's rate is 1/27 job/day
C in 36 days.-------------------------------C's rate is 1/36 job/day
------------------------------------------------------------------------All of them began together but A left 7 days and B left 8 days before the completion of the work. How many days in all did C put in till the entire work was finished?
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Equation:
Let x be the number of days required to do the job:
(x-7)(1/18)+(x-8)(1/27)+x(1/36) = 1 job(2x-14+x)(1/36)+(x-8)(1/27) = 1 job
3(3x-14)+4(x-8)(1/108)=1 job
(9x-42+4x-32)/(108) = 1 job
(13x-74)= 108
13x = 182
x = 14
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