Question : Seema alone can do a piece of work in 8 days and her sister Reema alone can do the same work in 24 days. If they worked together, then in how many days they will complete the work?
Option 1: 8 days
Option 2: 6 days
Option 3: 10 days
Option 4: 4 days
Correct Answer: 6 days
Solution :
Time taken by Seema to do the work = 8 days
Part of work done by Seema in a day = $\frac{1}{8}$
Time taken by Reema to do the work = 24 days
Part of work done by Reema in a day = $\frac{1}{24}$
Part of the work done by Seema and Reema together in a day
= $\frac{1}{8}$ + $\frac{1}{24}$
= $\frac{3+1}{24}$
= $\frac{1}{6}$
Time taken by Seema and Reema together to do the work = 6 days
Hence, the correct answer is 6 days.
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