24 men working at 8 hours per day can do a piece of work in 15 days. In how many days can 20 men working at 9 hours per day do the same work?
A. 14
B. 16
C. 13
D. 17
Explanation: Let \(M\) be the number of men, \(H\) be the hours per day, and \(D\) be the number of days. The total work units are constant: \(M_1 \times H_1 \times D_1 = M_2 \times H_2 \times D_2\). Given: \(M_1 = 24\), \(H_1 = 8\), \(D_1 = 15\). Total Work Units = \(24 \times 8 \times 15 = 2880\). Required: \(M_2 = 20\), \(H_2 = 9\), \(D_2 = ?\). \(2880 = 20 \times 9 \times D_2\). \(2880 = 180 \times D_2\). \(D_2 = \frac{2880}{180} = \frac{288}{18}\). \(D_2 = 16\) days.
Related Questions (Any University/Year)
- In a class, the average score of boys in an examination is 86 and that of girls is 81. If the average score of the whole class is 83, then what percent of the class are the girls?
- 64 এর 75% এর এক-তৃতীয়াংশ সমান কত ?
- Ratio between two numbers is 2:3 and their sum is 400. The greater of the two number is
- In Jiimiary, 55 percent of a hospital's 300 patients were women. In February, 30 percent of its 440 patients were women. What was the percent change in the number of women patients from January to February?
- A club had 3 boys and 5 girls. During a membership drive, the same number of boy and girls joined the club. How many members does the club have now , if the ratio of the boys to girls is 3:4?
- Which one of the following is the minimum value of the sum of two integers whose product is 36?
- Find the average of all whole numbers between 1 and 100 that end in 3.
- How many flowers are there if all of them are roses except two , all of them are tulips except two and all of them are daisies except two?
- The greatest possible value of C is how much greater than the smallest possible value of D?
- An empty swimming pool with a capacity of 5760 gallons is filled at the rate of 12 gallons per minute what is the time taken?
- X হচ্ছে একটি ধনাত্মক সংখ্যা। যখন X+1 কে ৬ দ্বারা ভাগ করা হয় তখন অবশিষ্ট থাকে ৫। X কে ?? দ্বারা ভাগ করলে অবশিষ্ট থাকে-
- Three workers P. Q. R can do a certain job at their own rate separately. If X represents the ratio of the work-speed of P and R, and Y represents the ratio of the work-speed of Q and R. such that \(X < Y\) and \(Y < 1\), who is the fastest worker of the three?
- In a flight of 600 km , an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by \(200~km/hr\) and the time of flight consequently increased by 30 minutes. The duration of the flight was:
- If 14 farmers plough a field in three hours, how long will it take if 15 farmers to do the same job?
- In a survey of the town bogra , it was found that 65% of the people surveyed watched the news on TV, 40% read a newspaper and watched the news on TV, what percentage of the people surveyed neither watched the news on V nor read a newspaper?
- Sume of the examloees came from North South University to BUP and shock hands with one another before the admission test. The totalnumber of hand-shakes was 6 How many examinees were from North South University?
- Laila invested Tk 10000 in a new mutual fund account exactly 3 years ago. The value of the account is increased by 10 percent during the first year, increased by 5 percent during the second year and decreased by 10 percent during the third year. What's the value of the account today?
- What is 0.04 x 0.032 in terms of percent?
- Three friends A, B and C have lunch together... What is A's share in the $4?
- The average of 5 numbers is 40. If 2 more numbers, with an average of 21, are added to these numbers, what will be the average of the combined 7 numbers?