Question : Aarush and Maahi together can do a piece of work in 10 days. If Aarush alone can do the same work in 15 days, then how many days Maahi alone will take to do the same work?
Option 1: 25
Option 2: 15
Option 3: 30
Option 4: 20
Correct Answer: 30
Solution :
Let us assume the total unit of work to be 30, which is the LCM of 15 and 10.
Efficiency of Aarush and Maahi = $\frac{30}{10}$ = 3 units/day
Efficiency of Aarush = $\frac{30}{15}$ = 2 units/day
Efficiency of Maahi = 3 – 2 = 1 unit/day
Now,
Maahi can do the work in = $\frac{\text{Total unit}}{\text{Efficiency}}$ = $\frac{30}{1}$ = 30 days
Hence, the correct answer is 30 days.
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