Question

Q.13) A and B together can complete one-sixth of
a work in 5 days, B and C can complete one-fifth
of the work in 8 days and A and C together can
complete half the work in 10 days. In how many
days A, B and C together can complete one-fourth
of the work?
(a) 3 7/13days
(b) 4 6/13days
(c) 4 8/13days
(d) 4 9/13days
(e) None of these
​

Answer 1

Answer:

Let the time taken by B alone to complete the work be x days.

Then, time taken by A to complete

2

1

of the work =

6

x

days

∴ Work of A for 1 day =

2

1

×

x

6

=

x

3

and work of B for 1 day =

x

1

Given,

x

3

+

x

1

=

10

1

⇒

x

4

=

10

1

⇒x=40 days.