Question : A contractor employed 69 workers to complete a work in 20 days. How many more workers he should employ to complete the work in 12 days?
Option 1: 115 workers
Option 2: 46 workers
Option 3: 51 workers
Option 4: 64 workers
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Correct Answer: 46 workers
Solution : Given: The work can be completed in 20 days by 69 workers. Let the more workers be $x$. According to the question: ${M_1×D_1}$ = ${M_2×D_2}$, where $M_1, M_2$ are number of men and $D_1, D_2$ are number of days. ⇒ ${69×20}$ = ${(69+x)×12}$ ⇒ $1380 = 828+12x$ ⇒ $12x = 552$ ⇒ $x = 46$ Hence, the correct answer is 46 workers.
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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
Question : Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will it take to complete the remaining work?
Option 1: 1 day
Option 2: 2 days
Option 3: 3 days
Option 4: 4 days
Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?
Option 1: 10 days
Option 2: 8 days
Option 3: 4 days
Option 4: 15 days
Question : Anuj's efficiency is 150 percent of Vinod's efficiency. If Anuj can complete a work in 20 days, then how many days will they together take to complete the same work?
Option 1: 6 days
Option 2: 9 days
Question : The ratio of time taken to complete a work by a man and a woman is 2 : 3. The man and the woman can complete the work together in 24 days. In how many days can the woman complete the work alone?
Option 1: 20 days
Option 2: 40 days
Option 3: 60 days
Option 4: 30 days
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