Question : Dev completed the school project alone in 40 days. How many days will Arun alone take to complete the same work if he is 25% more efficient than Dev?
Option 1: 35 days
Option 2: 14 days
Option 3: 32 days
Option 4: 16 days
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Correct Answer: 32 days
Solution : Given, Dev completed the school project in = 40 days Arun is 25% more efficient than Dev. So their time ratio will be, Arun : Dev = 100 : 125 = 4 : 5 Let the days taken by Arun to complete the work be $x$. ⇒ $4 : 5 :: x : 40$ ⇒ $\frac{4}{5} = \frac{x}{40}$ ⇒ $x = 32$ Hence, the correct answer is 32 days.
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Question : Reshma alone can do a work in 14 days. Bhavana is 40% more efficient than Reshma. The number of days, Bhavana alone will take to do the same piece of work is:
Option 1: 10 days
Option 2: 40 days
Option 3: 28 days
Option 4: 14 days
Question : A alone can complete a work in 16 days and B alone can complete the same work in 96 days. In how many days both A and B together can complete the same work?
Option 1: $\frac{88}{13}$ days
Option 2: $\frac{96}{7}$ days
Option 3: $\frac{96}{13}$ days
Option 4: $\frac{88}{14}$ 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 : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?
Option 1: $\frac{24}{3}$ days
Option 2: $\frac{29}{3}$ days
Option 3: $\frac{32}{3}$ days
Option 4: 9 days
Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Option 1: $15$ days
Option 2: $16$ days
Option 3: $14 \frac{4}{5}$ days
Option 4: $15 \frac{1}{5}$ days
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