Correct option is B
Given
Time taken by (A + B) together = 2 days
Time taken by B alone = 10 days
Formula Used
Work Done = Efficiency × Time
Efficiency of A = Combined Efficiency - Efficiency of B
Solution
Let the total work be the LCM of 2 and 10, which is 10 units.
Combined efficiency of A and B = units/day
Efficiency of B alone unit/day
Efficiency of A alone = 5 - 1 = 4 units/day
Total amount of work to be completed by A = Double the original work = 10 × 2 = 20 units
Time taken by A to complete double the work =
Time taken = 5 days
Final Answer
So the correct answer is (b)