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

Solution

✅ Correct Option: 1

C's rate is 135\dfrac{1}{35} per day. Then B's rate is 170\dfrac{1}{70} and A's rate is 1140\dfrac{1}{140}.

Combined rate =1140+2140+4140=7140=120= \dfrac{1}{140} + \dfrac{2}{140} + \dfrac{4}{140} = \dfrac{7}{140} = \dfrac{1}{20}.

So together they finish in 20 days.

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