Question

A abd b working together could mow a field in 28 days and with help of c they could mowed it in 21 days how would c takes by himself

Answer 1

Answer:

C WILL FINISH IT IN 84 DAYS

Answer 2

C alone takes 84 days to complete the work

Solution:

Given that,

A and b working together could mow a field in 28 days

Therefore, part of work done in 1 day is:

$\frac{1}{A} + \frac{1}{B} = \frac{1}{28}$

With help of c they could mowed it in 21 days

Therefore,

$\frac{1}{A} + \frac{1}{B} + \frac{1}{C} = \frac{1}{21}\\\\\\frac{1}{28} + \frac{1}{C} = \frac{1}{21}\\\\\ \frac{1}{C} = \frac{1}{21} - \frac{1}{28} \\\\ \frac{1}{C} = \frac{28-21}{21 \times 28}\\\\ \frac{1}{C} = \frac{7}{21 \times 28}\\\\ \frac{1}{C} = \frac{1}{84}\\\\C = 84\ days$

Thus C alone takes 84 days to complete the work

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