Rahul takes twice as much time as Manick and thrice as much time as Sachin to complete a job. If working together,they can complete the job in $4 days $,find the time taken by each of Rahul ,Manick and Sachin separately to complete the work ?

Let Sachin take x days, so Manick takes two-thirds x days and Rahul takes 3x days. Using the combined work formula, 4 times x plus 4 times two-thirds x plus 4 times 3x equals x times two-thirds x times 3x, which simplifies to 3x squared minus 29x equals zero. Solving this gives x equal to 8, meaning Sachin takes 8 days. Manick takes two-thirds of 8 days, which is 12 days, and Rahul takes 3 times 8 days, which is 24 days.

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