elect the correct answerB and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In how many days can A, B and C together completes the work?Options7.3846153853.6923076927.4166666673.416666667
Question
elect the correct answerB and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In how many days can A, B and C together completes the work?Options7.3846153853.6923076927.4166666673.416666667
Solution
The problem can be solved using the concept of work and time.
- B and C together can complete a work in 8 days, which means their combined work rate is 1/8 of the work per day.
- A and B together can complete the same work in 12 days, which means their combined work rate is 1/12 of the work per day.
- A and C together can complete the same work in 16 days, which means their combined work rate is 1/16 of the work per day.
If we add all these rates together, we get 2*(A+B+C) = 1/8 + 1/12 + 1/16.
Solving this equation gives us the combined work rate of A, B, and C as 1/7.384615385 per day.
Therefore, A, B, and C together can complete the work in 7.384615385 days. So, the correct answer is 7.384615385.
Similar Questions
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