Question

A and B together can do a piece
of work in 10 days while A and a
can do it in 15 days and B and C
together can do it in 12 days. Find
in how many days Calone can do
it alone? (in days)​

Answer 1

Answer:

(A+B)

′

s, 1 day's work=

10

1

(B+C)

′

s, 1 day's work=

12

1

(C+A)

′

s, 1 day's work=

15

1

On adding,

2(A+B+C)

′

s, 1 day's work=

10

1

+

12

1

+

15

1

=

60

6+5+4

=

4

1

∴(A+B+C)

′

s, 1 day's work=

8

1

∴A

′

s, 1 day's work=

8

1

−

12

1

=

24

3−2

=

24

1

∴A alone will complete the work in 24 days.

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