Question : Robert takes twice as much time as Tom and thrice as much time as George to complete a work. If working together, they can complete it in 23 hours, then find the time that Tom will take to complete the work.
Option 1: 46 hours
Option 2: 69 hours
Option 3: 11 hours
Option 4: 39 hours
Correct Answer: 69 hours
Solution : Given: Robert takes twice as much time as Tom and thrice as much time as George to complete a work. Working together, they can complete it in 23 hours. Work = Time × Efficiency According to the question, $\frac{1}{x}+\frac{2}{x}+\frac{3}{x}=\frac{1}{23}$ ⇒ $\frac{1+2+3}{x}=\frac{1}{23}$ ⇒ $\frac{6}{x}=\frac{1}{23}$ ⇒ $x=138$ The time that Tom will take to complete the work = $\frac{138}{2}=69$ hours Hence, the correct answer is 69 hours.
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Question : A and B working together can do a piece of work in $4\frac{1}{2}$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $2\frac{1}{4}$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.
Option 1: 3 hours
Option 2: 2 hours
Option 3: 2.5 hours
Option 4: 3.25 hours
Question : To do a certain work, B would take time thrice as long as A and C together and C twice as long as A and B together. The three men together complete the work in 10 days. The time taken by A to complete the work separately is:
Option 1: 22 days
Option 2: 24 days
Option 3: 30 days
Option 4: 20 days
Question : Reena, Veena, and Vimla can do a work in 4 hours, 8 hours, and 12 hours, respectively. In how much time will they finish the work working together?
Option 1: $\frac{2}{11}$ hours
Option 2: $5\frac{2}{11}$ hours
Option 3: $3\frac{2}{11}$ hours
Option 4: $2\frac{2}{11}$ hours
Question : A is twice as efficient as B and C is thrice as efficient as B. Working together, they can finish a certain work in 5 days. A and C worked together for 5 days. B alone would complete the remaining work in ____.
Option 1: 8 days
Option 2: 5 days
Option 3: 6 days
Option 4: 4 days
Question : A can do as much work as B and C together can do, A and B can do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is:
Option 1: 18 hours
Option 2: 24 hours
Option 3: 30 hours
Option 4: 12 hours
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