Question : A is thrice as good a workman as B and together they can finish a work in 32 days. In how many days will B alone complete the same work?
Option 1: 96 days
Option 2: 104 days
Option 3: 112 days
Option 4: 128 days
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Correct Answer: 128 days
Solution : Let A take $x$ days to complete the work. Then, amount of the work completed by A in 1 day = $\frac{1}{x}$ Then B would take $3x$ days to complete the work. Then, the amount of the work completed by B in 1 day = $\frac{1}{3x}$ Now, it is given that they complete the work together in 32 days. ⇒ $\frac{1}{x}+\frac{1}{3x}=\frac{1}{32}$ ⇒ $\frac{3+1}{3x}=\frac{1}{32}$ ⇒ $3x = 32 \times 4 = 128$ Hence, the correct answer is 128.
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Question : Babita is 1.25 times as efficient as Deepak. Working together, they can complete a piece of work in 40 days. In how many days can Deepak alone complete the same piece of work?
Option 1: 84
Option 2: 90
Option 3: 96
Option 4: 100
Question : A can finish a work in 15 days, B can finish the same work in 25 days. They work together for 5 days. The rest of the work is finished by A and C in 4 days. Then C alone can finish the work in:
Option 1: 18 days
Option 2: 24 days
Option 3: 20 days
Option 4: 21 days
Question : Ram can complete a piece of work in 18 days, Reena can complete the same work in 12 days, and with the help of Shyam, they finish the same work in 6 days. In how many days can Shyam alone complete the same work?
Option 1: 42 days
Option 2: 36 days
Option 3: 30 days
Option 4: 24 days
Question : A is twice as a good worker as B and together they finish the work in 20 days. In how many days can A alone do it?
Option 1: 25 days
Option 4: 30 days
Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Option 1: 8 days
Option 2: 10 days
Option 3: 15 days
Option 4: 12 days
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