Home » Aptitude » Time and Work » Question
  1. X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in:
    1. 18 days
    2. 27 days
    3. 36 days
    4. 42 days
Correct Option: C

Let Y alone complete the work in x days.
According to the question,
X’s 16 days’ work + Y’s 12 days’ work = 1

16
+
12
= 1
24x

2
+
12
= 1
3x

12
= 1 -
2
=
1
x33

⇒ x = 12 × 3 = 36 days



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