UP Police Constable Exam Model Paper 1

Given:
P works twice as fast as Q.
Q can complete a task in 36 days independently.
Formula used:
Efficiency = Total work/Time
Calculations:
Ratio of efficiency of P and Q = 2 : 1
Total work = Efficiency of Q × Time taken by Q
⇒ Total work = 1 × 36 = 36 units
Combined efficiency of P and Q = 2 + 1 = 3 units/day
Time taken by P and Q to complete the remaining work = 36/3 = 12 days
∴ P and Q can together complete the task in 12 days.