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  1. A and B can do a piece of work in 12 days and 15 days respectively. They began to work together but A left after 4 days. In how many more days would B alone complete the remaining work ?
    1. 20
      days
      3
    2. 25
      days
      3
    3. 6 days
    4. 5 days
Correct Option: C

Part of the work done by A and B in 4 days

= 4
1
+
1
= 4
5 + 4
121560

= 4 ×
9
=
3
605

Remaining work = 1 -
3
=
2
55

∴ Time taken by B to complete the remaining work
=
2
× 15 = 6 days
5

Aliter :
Using Rule 20,
Here, m = 12, n = 15, p = 4
B alone do the works in
=
mn - p(m + n)
m

=
12 × 15 - 4(12 + 15)
12

=
180 - 108
=
72
= 6 days
1212



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