A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A 8 hours

B 10 hours

C 12 hours

D 24 hours

Solution

Correct Answer: Option C

A's 1 hour's work =

1

;

4

(B + C)'s 1 hour's work =

1

;

3

(A + C)'s 1 hour's work =

1

.

2

(A + B + C)'s 1 ho