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Mathematics

A and B together can do a piece of work in 6236\dfrac{2}{3} days, but B alone can do it in 10 days. How long will A take to do it alone?

Direct & Inverse Variations

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Answer

A + B can do the work in 623=2036\dfrac{2}{3} = \dfrac{20}{3} days.

(A + B)'s 1 day work = 320\dfrac{3}{20}

B's 1 day work = 110\dfrac{1}{10}

A's 1 day work = 320110\dfrac{3}{20} - \dfrac{1}{10}

= 3220\dfrac{3 - 2}{20}

= 120\dfrac{1}{20}

A can do the work in 201=20\dfrac{20}{1} = 20 days

Hence, A can do the work in 20 days.

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