Question : Ali, Avtar Singh, and Ashok working together can finish a work in 8 days. Ali alone can do it in 20 days and Avtar Singh alone can do it in 24 days. In how many days can Ashok alone do the same work?
Option 1: 30
Option 2: 28
Option 3: 26
Option 4: 25
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Correct Answer: 30
Solution :
Let the total work be 1 unit.
Ali can finish the work in 20 days.
Ali's work rate = $\frac{1}{20}$ units per day.
Avtar Singh can finish the work in 24 days.
Avtar Singh's work rate = $\frac{1}{24}$ units per day.
Ali, Avtar Singh, and Ashok together can finish the work in 8 days.
The combined work = $\frac{1}{8}$ units per day.
Ashok's work rate = $\frac{1}{8} - \frac{1}{20} - \frac{1}{24}$ units per day.
Ashok's work rate = $\frac{1}{30}$ units per day.
The number of days required by Ashok to complete the work = 30 days
Hence, the correct answer is 30.
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