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Work done by A in one day is 2 times of the work done by B in one day. Work done by B is 3 times of the work done by C. If C can alone complete the work in 35 days, In how many days can A, B, and C together complete the work?

Work done by A in one day is 2 times of the work done by B in one day. Work done by B is 3 times of the work done by C. If C can alone complete the work in 35 days, In how many days can A, B, and C together complete the work? Correct Answer 3.5 days

Given:

Work done by A in one day is 2 times of the work done by B in one day

Work done by B is 3 times of the work done by C

C can alone complete the work in 35 days

Calculation:

According to the question:

Let work done by C be x days

Then, work done by B be 3x days

Work done by A be 6x days

Now, The ratio of A : B : C = 6x : 3x : x 

Time taken by together (A + B + C) = (35 × x)/10x

⇒ 35/10 = 3.5 days.

∴ A, B, and C together complete the work in 3.5 days.

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