Question : A and B together can finish a work in 20 days. If they worked together for 8 days, then what was the share of work that was yet to be completed?
Option 1: $\frac{3}{5}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{1}{5}$
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Correct Answer: $\frac{3}{5}$
Solution : Given, A and B together can finish a work in 20 days. If A and B together can finish a work in 20 days, then they complete $\frac{1}{20}$ part of the work in a day. In 8 days, they can complete $\frac{1}{20}×8$ = $\frac{2}{5}$ of the whole work. So, the required share of work that was yet to be completed = $1−\frac25$ = $\frac35$ Hence, the correct answer is $\frac35$.
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Question : A can do one and a half as much work as B can do in one day. B alone can do a piece of work in 18 days. They together can finish that work in:
Option 1: $10\frac{1}{5}$ days
Option 2: $11\frac{1}{5}$ days
Option 3: $5\frac{1}{5}$ days
Option 4: $7\frac{1}{5}$ days
Question : X and Y together can do a piece of work in 30 days. Z alone can do it in 60 days. If they worked together, then in how many days they can finish the work?
Option 1: 50
Option 2: 25
Option 3: 45
Option 4: 20
Question : A alone can do a work in 16 days and B alone can do the same work in 12 days. If they worked together on it for 4 days and A left. How long did B take to finish the remaining work?
Option 1: 7 days
Option 2: 5 days
Option 3: 6 days
Option 4: 8 days
Question : Kanti and Jiya together can finish a work in 3 days. If Jiya alone can finish the work in 6 days, then in how many days can Kanti alone finish the work?
Option 1: 4 days
Option 2: 6 days
Option 3: 10 days
Question : A is two times as efficient as B. A can complete a work in 20 days less than B. If both of them work together, then in how many days will the same work be completed?
Option 1: $\frac{40}{3}$ days
Option 2: $\frac{27}{2}$ days
Option 3: 20 days
Option 4: 15 days
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