Question : A can do a piece of work in 16 days. B can do the same work in 24 days. A started the work alone. After how many days should B join him, so that the work is finished in 10 days?
Option 1: 6 days
Option 2: 2 days
Option 3: 5 days
Option 4: 1 day
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Correct Answer: 1 day
Solution : 1 day's work of A $=\frac{1}{16}$ 1 day's work of B $=\frac{1}{24}$ The work can be finished in 10 days. Let $x$ be the day/days after which B joins A. So, A works for 10 days and B for $(10-x)$ days. According to the question, $\frac{10}{16}+\frac{10-x}{24}=1$ ⇒ $30+20-2x=48$ ⇒ $x=1$ Hence, the correct answer is 1 day.
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Question : Suresh alone can do work in 10 days working 1 hour a day. Balu alone can do the same work in 2 days working 5 hours a day. How many hours do they need to work together in a day to complete the same work in 10 days?
Option 1: 1.5 hours
Option 2: 0.5 hours
Option 3: 1 hour
Option 4: 2 hours
Question : A alone can do a piece of work in 30 days. He worked at it for 5 days and then B alone finished the remaining work in 10 days. In how many days B alone can finish the entire work?
Option 1: 12 days
Option 2: 15 days
Option 3: 10 days
Option 4: 18 days
Question : A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?
Option 1: 40 days
Option 2: 56 days
Option 3: 60 days
Option 4: 16 days
Question : A can do a piece of work alone in 40 days. A and B together can do the same work in 10 days. C is 50% less efficient than B. In how many days can A and C together complete the same work?
Option 1: 20 days
Option 2: 24 days
Option 3: 16 days
Option 4: 12 days
Question : Kajal can do a piece of work alone in 24 days, while Neha can do the same work alone in 40 days. Kajal started the work alone, and then after 12 clays, Neha joined her till the completion of the work. How long did the work take to be completed since Kajal started to work on it?
Option 1: $\frac{37}{4}$ days
Option 2: $\frac{39}{2}$ days
Option 3: $\frac{37}{2}$ days
Option 4: $\frac{39}{4}$ days
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