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Mathematics

A can do a work in 15 days and B in 20 days. If they work together on it for 4 days, what fraction of the work will be left?

Direct & Inverse Variations

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Answer

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

B's 1 day work = 120\dfrac{1}{20}

(A + B)'s 1 day work = 115+120\dfrac{1}{15} + \dfrac{1}{20}

= 4+360\dfrac{4 + 3}{60}

= 760\dfrac{7}{60}

(A + B)'s 4 day work = 760×4\dfrac{7}{60} \times 4

= 715\dfrac{7}{15}

Remaining work = 17151 - \dfrac{7}{15}

= 1515715\dfrac{15}{15} - \dfrac{7}{15}

= 815\dfrac{8}{15}

Hence, 815\dfrac{8}{15} work wil be left.

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