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  1. A and B can do a work in 8 days. B alone can do it in 24 days. In how many days, A alone can do the same work?
    1. 10 days
    2. 9 days
    3. 12 days
    4. 14 days
Correct Option: C

(A + B)’s 1 day’s work

=
1
8

B’s 1 day’s work
=
1
24

∴ A’s one day’s work
= (A + B)’s one day’s work – B’s one day’s work
=
1
-
1
=
3 - 1
=
1
8242412

∴ A will complete the work in 12 days.
Aliter : Using Rule 4,
Here, x = 24, y = 8
Required time
=
xy
days
x - y

=
24 × 8
= 12 days
24 - 8



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