Amar, Akram and Vaibhav together can complete a work in 20 days. If Amar can work thrice as faster than Akram and Akram can work twice as faster than Vaibhav. then in how many days Vaibhav alone can complete the same work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 180 days.
Given that, time taken by Amar, Akram and Vaibhav to complete work together = 20 days
Total work = Efficiency × Number of days
Let thye efficiencies of Amar, Akram and Vaibhav be x, A and V respectively.
According to the given question,
⇒ A = 2V
And x = 3A
⇒ x = 6V
Let the total work to be done be 180 units.
Total work = Efficiency × Number of days
⇒ 180 = (x + A + V) × 20
⇒ 9 = (6V + 2V + V)
⇒ 9V = 9
⇒ V = 1 unit/day
Now, time taken by Vaibhav to complete the total work =
⇒ 180 days
Hence the required answer is 180 days.