Question

A can do a certain work in the same time in which b and c together can do it.If a and b together could do it in 10 days and c alone in 50 days,then b alone could do it in?

Answer 1

Step-by-step explanation:

(A + B)'s 1 day's work = 1

10

C's 1 day's work = 1

50

(A + B + C)'s 1 day's work = 1 + 1 = 6 = 3 . .... (i)

10 50 50 25

A's 1 day's work = (B + C)'s 1 day's work .... (ii)

From (i) and (ii), we get: 2 x (A's 1 day's work) = 3

25

A's 1 day's work = 3 .

50

B's 1 day's work 1 - 3 = 2 = 1 .

10 50 50 25

So, B alone could do the work in 25 days.