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, n² = 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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