A. B and C together can complete a work in 20 days. A and B together can complete the same work in 30 days. Then C alone can complete the same work in how many days?
Correct Answer: Description for Correct answer:
Let Calone can complete the same work = x days
According to question,
\( \Large \dfrac{1}{A} + \dfrac{1}{B} + \dfrac{1}{C} = \dfrac{1}{20} \) ...\( \left( i\right) \)
\( \Large \dfrac{1}{A} + \dfrac{1}{B} = \dfrac{1}{30} \) ...\( \left( ii\right) \)
Equation [i] - equation (ii)
\( \Large \dfrac{1}{C}= \dfrac{1}{20} - \dfrac{1}{30} = \dfrac{10}{ 30\times 20} \)
C = 60 days
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