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Mathematics

A can do a piece of work in 10 days and B in 15 days. How long will they take to finish it working together?

Direct & Inverse Variations

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Answer

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

B's 1 day work = 115\dfrac{1}{15}

(A + B)'s 1 day work = 110+115\dfrac{1}{10} + \dfrac{1}{15}

= 3+230\dfrac{3 + 2}{30}

= 530\dfrac{5}{30}

A and B can do the work in 305=6\dfrac{30}{5} = 6 days

Hence, A and B can do the work in 6 days.

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