QA – Placement Quizzes | Work and Wages | Question 4

A alone and B alone can do a work in respectively 18 and 8 days more than both working together. Find the number of days required if both work together.

**(A)** 12

**(B)** 8

**(C)** 16

**(D)** 36

**Answer:** **(A)** **Explanation:** Let the time required to complete the work by A and B together = n days

=> Time required by A alone = n + 18 days

=> Time required by B alone = n + 8 days

Therefore, n^{2} = 18 x 8 = 144

=> n = 12

Hence, A and B require 12 days to complete the work if they work together.

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