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elect the correct answerA, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?Options15 days12 days16 days18 days

Question

elect the correct answerA, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?Options15 days12 days16 days18 days

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Solution

To solve this problem, we first need to find out how much work A, B, and C can do in a day.

  1. A can complete the work in 20 days, so A can do 1/20 of the work in a day.
  2. B can complete the work in 30 days, so B can do 1/30 of the work in a day.
  3. C can complete the work in 60 days, so C can do 1/60 of the work in a day.

Now, let's consider a cycle of 3 days:

  • On the first and second day, only A works, so the work done is 2 * (1/20) = 1/10.
  • On the third day, A, B, and C all work, so the work done is (1/20) + (1/30) + (1/60) = 1/10.

So, in a cycle of 3 days, 1/10 + 1/10 = 1/5 of the work is done.

Let's say the total work is 1 unit. To complete the work, we need 5 cycles of 3 days, which is 15 days.

So, the correct answer is 15 days.

This problem has been solved

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