Correct Answer - Option 1 : 2 days
Given:
Working together X, Y, Z can complete a particular task in 5 days.
The ratio of the efficiencies of X, Y, Z are in the ratio of 6 : 7 : 11.
Y and Z worked on the task for 6 days.
Concept Used:
Total work is done = (Total time taken) × (Total Efficiency)
Calculation:
As given the efficiency of X, Y, Z is 6 : 7 : 11 and they can complete the work together in 5 days.
⇒ Total work done = (6 + 7 + 11) × 5
⇒ Total work is done = 120 units
Now Y and Z worked for 5 days, the work done by them in 6 days will be
⇒ The work is done in 6 days by Y and Z = (7 + 11) × 6
⇒ The work done = 18 × 6 = 108 unit
Now the remaining work is done by X in
⇒ Remaining work = 120 – 108 = 12 unit
⇒ Time by X = 12/6 = 2 days
∴ The time taken by X to complete the remaining work is 2 days.
