Akhil, Sahil and Amit can do a certain work in 64 days. While Akhil and Sahil can do the same work in 80 days, then in how many days can Amit do the same work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 320 days
Time taken to complete the work by Akhil(X) and Sahil(Y) together = 80 days
Time taken to complete the work by all three of them = 64 days
According to the question -
1/X + 1/Y = 1/80
1/X + 1/Y + 1/Z = 1/64
1/80 + 1/Z = 1/64
1/Z = 1/64 - 1/80
1/Z = 1/320
Z = 320 days
Time taken by Amit to complete the same work = 320 days