Question : A can do a piece of work in 20 days and B can do the same piece of work in 30 days. Find how many days they both will require to do the work.
Option 1: 16
Option 2: 14
Option 3: 10
Option 4: 12
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Correct Answer: 12
Solution :
Given: A can do a piece of work in 20 days and B can do the same piece of work in 30 days.
In 1 day, A can do $\frac{1}{20}$ part of the work.
In 1 day, B can do $\frac{1}{30}$ part of the work.
So, in 1 day A and B together can do $(\frac{1}{20}+\frac{1}{30})=\frac{5}{60}$ part of the work.
⇒ A and B together can do $\frac{5}{60}$ part of the work in 1 day,
⇒ A and B together can complete the work in $(\frac{1}{\frac{5}{60}})=1×\frac{60}{5}=12$ days
Hence, the correct answer is 12.
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