Question : Brijesh can complete a work in 4 days, Ashish in 5 days, and Anand in 10 days. What will be the time taken by Brijesh, Ashish, and Anand to complete the work together?
Option 1: $1 \frac{9}{11}$ days
Option 2: 2 days
Option 3: 1 day
Option 4: $2 \frac{9}{11}$ days
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Correct Answer: $1 \frac{9}{11}$ days
Solution :
Brijesh can complete a work in 4 days, Ashish in 5 days, and Anand in 10 days.
Brijesh's 1 day's work = $\frac{1}{4}$
Ashish's 1 day's work = $\frac{1}{5}$
Anand's 1 day's work = $\frac{1}{10}$
Their combined 1 day's work = $\frac{1}{4}+\frac{1}{5}+\frac{1}{10}=\frac{10+8+4}{40}=\frac{11}{20}$
So, they will together complete the work in $\frac{20}{11}=1\frac{9}{11}$ days
Hence, the correct answer is $1\frac{9}{11}$ days.
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