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Mathematics

A and B working together can mow a field in 56 days and with the help of C, they could have mowed it in 42 days. How long would C take to mow the field by himself?

Direct & Inverse Variations

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Answer

(A + B)'s 1 day work = 156\dfrac{1}{56}

(A + B + C)'s 1 day work = 142\dfrac{1}{42}

C's 1 day work = 142−156\dfrac{1}{42} - \dfrac{1}{56}

= 4−3168\dfrac{4 - 3}{168}

= 1168\dfrac{1}{168}

C can do the work in 1681\dfrac{168}{1} days

Hence, C can do the work in 168 days.

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