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Mathematics

A and B working together can complete a work in 4 days. If A alone can do the same work in 6 days, then B alone can do the same work in:

  1. 12 days

  2. 10 days

  3. 2 days

  4. 24 days

Direct & Inverse Variations

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Answer

(A + B)'s 1 day work = 14\dfrac{1}{4}

A's 1 day work = 16\dfrac{1}{6}

B's 1 day work = 1416\dfrac{1}{4} - \dfrac{1}{6}

= 3212\dfrac{3 - 2}{12}

= 112\dfrac{1}{12}

B alone can do the work in 12 days

Hence, option 1 is the correct option.

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