Mathematics (Work and Wages কাজ এবং মজুরি)

1) A contractor undertakes to do a piece of work in 40 days. He employs 50 men for the task but after 25 days, he finds that only half of the work is done. How many additional men should be employed to finish the work on time?

2) If 10 boys can do a piece of work in 12 days, 12 girls can do it in 10 days. How many days will 5 boys and 3 girls together take to complete the work?

3) Three workers, A, B, and C, can complete a task in 20, 30, and 40 days respectively. If they work together, what fraction of the work is completed in 3 days?

4) A certain number of men can do a work in 45 days. If there were 10 more men, they could finish the work in 36 days. How many men were originally there?

5) The ratio of daily wages of two Workers is 4: 3 and one gets daily Rs

9 more than the other, what are their daily wages?

6) If a worker is paid 1/2 of his wages in advance and 1/4th after completion of work, and still Rs. 600 remain to be paid, what is the total wages?

7) If 6 men working 8 hours a day can complete a work in 18 days, how many hours per day should 8 men work to complete the same work in 9 days?

8) A can do a piece of work in 24 days, B can do it in 16 days. With the help of C, they complete the work in 8 days. In how many days can C alone finish the work?

9) A and B together can complete a task in 12 days. B alone can do it in 30 days. If A and B work together for 8 days, how much of the work remains?

10) A, B, and C can complete a work together in 10 days. A and B together can complete it in 15 days, while B and C together can complete it in 20 days. How many days will C alone take to finish the work?