Question : In an office, 75 employees can finish a project in 60 days. After a few days, 15 employees left the job and the project was completed in 65 days. After how many days did the 15 employees leave?
Option 1: 50
Option 2: 45
Option 3: 30
Option 4: 40
Correct Answer: 40
Solution : 75 employees ⇒ 60 days Total work done = 75 × 60 Let $x$ be the number of days 75 employees work together. Total number of days = 65 $65-x$ = number of days 60 employees work together. ⇒ $75x + (65-x)×60 = 75 × 60$ ⇒ $75x - 60x + 65 × 60 = 75 × 60$ ⇒ $15x = 10 × 60$ ⇒ $x = \frac{600}{15} = 40$ Hence, the correct answer is 40.
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Question : A and B together can complete a project in 30 days. They started together, but after 6 days, A left the work and the work was completed by B after 36 more days. Single person A can complete the entire work in how many days?
Option 1: 45 days
Option 2: 90 days
Option 3: 60 days
Option 4: 120 days
Question : A and B together can complete a project in 10 days. They started together, but A left after 2 days and the remaining work was completed by B in 12 days. In how many days can A complete the entire work while working alone?
Option 1: 15 days
Option 2: 20 days
Option 3: 30 days
Option 4: 45 days
Question : A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A in 15 days. In how many days will C finish it alone?
Option 1: 24 days
Option 2: 30 days
Option 3: 40 days
Option 4: 60 days
Question : A, B and C together can complete a work in 20 days. A and B together can complete the same work in 30 days. Then, C alone can complete the same work in how many days?
Option 1: 10 days
Option 3: 45 days
Question : 8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
Option 1: 10
Option 2: 20
Option 4: 15
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