Correct Answer - Option 3 : 12.75 days
Given:
Two-third work is completed by G in 17 days.
H is twice as efficient as G.
Concepts used:
Time = Work/Efficiency
1 day work of individual = Work/Time
Calculation:
Two-third work is completed by G in 17 days.
⇒ Efficiency of G = Work/Time
⇒ Efficiency of G = (2/3)/17 = 2/51
H is twice as efficient as G.
⇒ Efficiency of H = 2 × 2/51 = 4/51
Time = Work/Efficiency
⇒ Time taken by H to complete full piece of work = 1/(4/51) days = 51/4 days = 12.75 days
∴ H completes full piece of work in 12.75 days.
