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Select the correct answerA can do a piece of work in 5 days, B can do it in 10 days. With the help of C, they finish the work in 2 days. In how many days C alone can do the whole work?Options3 days5 days6 days4 days

Question

Select the correct answerA can do a piece of work in 5 days, B can do it in 10 days. With the help of C, they finish the work in 2 days. In how many days C alone can do the whole work?Options3 days5 days6 days4 days

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Solution

To solve this problem, we first need to find the rates at which A, B, and C work.

  1. A can do the work in 5 days, so A's work rate is 1/5 of the work per day.
  2. B can do the work in 10 days, so B's work rate is 1/10 of the work per day.
  3. Together, A, B, and C can do the work in 2 days, so their combined work rate is 1/2 of the work per day.

We can find C's work rate by subtracting A and B's work rates from the combined work rate:

C's work rate = (A + B + C)'s work rate - A's work rate - B's work rate C's work rate = 1/2 - 1/5 - 1/10 = 1/2 - 2/10 - 1/10 = 1/2 - 3/10 = 2/10 = 1/5

So, C can do 1/5 of the work per day, which means C can do the whole work in 5 days. Therefore, the correct answer is "5 days".

This problem has been solved

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