A can do a piece of work in 4 hours; B and C together can do it in 3 h

1.	A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
Answer» 12 HOURS A's 1 HOUR work = 1/4; (B + C)'s 1 hour work = 1/3; (A + C)'s 1 hour work = 1/2 (A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12 B's 1 hour work = (7/12 + 1/2) = 1/12 B ALONE will take 12 hours to do the work.

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

Answer»

12 HOURS

A's 1 HOUR work = 1/4;

(B + C)'s 1 hour work = 1/3;

(A + C)'s 1 hour work = 1/2

(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12

B's 1 hour work = (7/12 + 1/2) = 1/12

B ALONE will take 12 hours to do the work.

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

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