A can do a piece of work in 20 days and B can do the same in 24 days. How many days will they take if both work together?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e.
Let the total work be x.
Work is completed by A in 20 days.
Work done by A in a day = x/20
Work completed by B in 24 days
Work done by B in a day = x/24
If they work together -
Work done by them in a day = x/20 + x/24 = 11x/120
Let the number of days taken by them be T.
Total work = T(Work done by them in a day)
x = T(11x/120)
T = 120/11 = 10 10/11 days