Question

9. A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and
C alone can do it in 40 days. In how many days will A alone do the work?
​

Answer 1

Answer:

9. A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and

C alone can do it in 40 days. In how many days will A alone do the work?

Answer 2

Answer:

Given,

(A+B+C) can do a piece of work in = 15 days

(A+B+C)’s 1 day work =

15

1

B alone can do a piece of work in = 30 days

B’s 1 day work =

30

1

C alone can do a piece of work in = 40 days

C’s 1 day work =

40

1

So,

A’s 1 day work =

15

1

−

30

1

+

40

1

=

15

1

−

120

4+3

=

15

1

−

120

7

=

120

8−7

=

120

1

∴ A can do a piece of work in 120 days.

Step-by-step explanation:

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