Question

A can do a piece of work in 4 days , B in 3 days , A , B and C together can do it in 3/2 days. How long will C working alone take to do ​

Answer 1

Answer:

12 days

Step-by-step explanation:

Fraction of work done by A in one day = 1/4

Fraction of work done by B in one day = 1/3

Fraction of work done by A&B in one day = 1/4+1/3 = 7/12

Fraction of work done by A,B&C in one day = 2/3

Fraction of work done by C in one day = 2/3 - 7/12 = 8/12 - 7/12 = 1/12

Working alone C will complete the work in 12 days.

Answer 2

Answer:

12 days

Step-by-step explanation:

Work rate of A is $\frac{1}{4}$

Work rate of B is $\frac{1}{3}$

Work rate of C is $\frac{1}{x}$

Work rate of A, B, and C is 1 ÷ $\frac{3}{2}$ = $\frac{2}{3}$

$\frac{1}{4}$ + $\frac{1}{3}$ + $\frac{1}{x}$ = $\frac{2}{3}$

$\frac{7}{12}$ + $\frac{1}{x}$ = $\frac{2}{3}$

$\frac{1}{x}$ = $\frac{2}{3}$ - $\frac{7}{12}$

$\frac{1}{x}$ = $\frac{1}{12}$ ===> x = 12 days