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Question : A can complete a work in 8 days and B can complete the same work in 11 days. How many days will they take, if both work together?

Option 1: $4 \frac{12}{17}$

Option 2: $5 \frac{12}{19}$

Option 3: $4 \frac{11}{19}$

Option 4: $4 \frac{12}{19}$


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: $4 \frac{12}{19}$


Solution : The rate at which A works is $\frac{1}{8}$ work per day and the rate at which B works is $\frac{1}{11}$ work per day.
Together, A and B can do $\frac{1}{8} + \frac{1}{11} = \frac{19}{88}$ work per day.
So, the time taken to complete the work when A and B work together is the reciprocal of their combined work rate = $\frac{88}{19} = 4 \frac{12}{19}$ days
Hence, the correct answer is $4 \frac{12}{19}$.

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