A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together on every third day. In how many days will the work be completed?Options23243022
Question
A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together on every third day. In how many days will the work be completed?Options23243022
Solution
Sure, let's solve this step by step.
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First, we need to find out the work done by A, B, and C in one day. Since A can complete the work in 30 days, A's one day work is 1/30. Similarly, B's one day work is 1/45 and C's one day work is 1/90.
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Now, let's find out the work done by A, B, and C together in one day. This is given by A's one day work + B's one day work + C's one day work = 1/30 + 1/45 + 1/90 = 1/10.
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According to the problem, A works alone for two days and on the third day, A, B, and C work together. So, the work done in three days is given by 2*(A's one day work) + (A, B, and C's one day work together) = 2*(1/30) + 1/10 = 1/15 + 1/10 = 1/6.
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Therefore, the total work will be completed in 6*3 = 18 days.
So, the work will be completed in 18 days.
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