Question : In an office, typing work can be finished by Monika in 6 hours, Anita in 8 hours, and Manju in 5 hours if they work alone. How much time (in hours) will they take if they work together?
Option 1: $3 \frac{3}{59}$
Option 2: $2 \frac{2}{59}$
Option 3: $2 \frac{2}{5}$
Option 4: $2 \frac{2}{57}$
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Correct Answer: $2 \frac{2}{59}$
Solution : Work done by Monika in 1 hour = $\frac{1}{6}$ Work done by Anita in 1 hour = $\frac{1}{8}$ Work done by Manju in 1 hour = $\frac{1}{5}$ Work done together in one hour = $\frac{1}{6}$+$\frac{1}{8}$+$\frac{1}{5}$ = $\frac{20+15+24}{120}$ = $\frac{59}{120}$ The typing can be complete together in $\frac{120}{59} = 2\frac{2}{59}$ hours Hence, the correct answer is $2\frac{2}{59}$.
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Question : Two workers A and B are engaged to do a piece of work. Working alone A would take 8 hours more to complete the work than when working together. If B worked alone, would take $4\frac{1}{2}$ hours more than when working together. The time required to finish the work
Question : A and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?
Question : A can do a piece of work in 6 days, working 8 hours a day, while B can do the same work in 4 days, working 10 hours a day. If the work has to be completed in 5 days, how many hours do they need to work together in a day?
Question : Pratima and Diksha can complete typing work separately in 10 hours and 15 hours, respectively. After typing for 4 hours alone, Pratima leaves the work. In how many hours will Diksha complete the remaining typing work?
Question : Richa, Rita and Reena can independently complete a task in 8 hours, 12 hours and 24 hours, respectively. If they work together, how much time will they take to complete that task?
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