Correct Answer - Option 2 : 14 days
Given:
A and B can complete the work = 25 days and 40 days
A and B work together = 10 days
Formula used:
Work = Efficiency × Time
Calculation:
A = 25 days
B = 40 days
Total work = LCM of (25, 40)
Total work = 200 unit
The efficiency of A = 200/25 = 8 unit/day
The efficiency of B = 200/40 = 5 unit/day
A and B work together for 10 days, then
⇒ (8 + 5) × 10 = 130 unit
Remaining work = 200 - 130
Remaining work = 70
⇒ Time taken by B to complete the remaining work = 70/5 = 14 days
∴ Required days to complete the remaining work by 'B' are 14 days.