Algorithms Quiz | SP Contest 1 | Question 7

A can finish an IT project in 15 days, B can finish the same project in 12 days. In how many days, both of them can finish 60% of the project? It may be assumed that working together does not impact their productivity.
(A) 2 days
(B) 4 days
(C) 6 days
(D) 7 days

Answer: (B)
Explanation: A finish the work in one day = 1 / 15
B finish the work in one day = 1 / 12
If A and B work together to finish the project, then one day’s work = 1 /15 + 1 / 12.

Then 60% of work can be finished:
(1 /15 + 1 / 12 ) * x = 6 / 10.
X = 4 days.

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