A can work three times faster than B. A takes 60 days less than B to do a work. Find the number of days it would take to complete the work if both work together.
A. \(22\frac{1}{2}\) days
B. 32 days
C. \(24\frac{1}{3}\) days
D. 26 days
Explanation: ধরি, B কাজটি করতে \(x\) দিন সময় নেয়। A কাজটি করতে \(x/3\) দিন সময় নেবে।\nপ্রশ্নানুসারে, \(x - x/3 = 60 \Rightarrow 2x/3 = 60 \Rightarrow x = 90\)\nB কাজটি 90 দিনে করে। A কাজটি \(90/3 = 30\) দিনে করে।\nএকসাথে A এবং B এর 1 দিনের কাজ = \(\frac{1}{30} + \frac{1}{90} = \frac{3+1}{90} = \frac{4}{90} = \frac{2}{45}\) অংশ।\nকাজটি শেষ করতে সময় নেবে = \(\frac{45}{2}\) দিন = \(22.5\) দিন বা \(22\frac{1}{2}\) দিন।]
Related Questions (Any University/Year)
- If x is an integer and (x^2
- On glancing through your morning newspaper you notice that four pages are missing. One of the missing pages is page 8. The back page of the newspaper is 28. What are the other three missing pages?
- Each of the following questions consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether: A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question. B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question. C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient D) each statement alone is sufficient. E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question. After a long career, Mr. Iqbal is retiring. If there are 25 associates who contribute equally to a parting gift for Iqbal in an amount that is an integer, what is the total value of the parting gift? Statement 1: If four associates were fired for underperformance, the total value of the parting gift would have decreased by Tk 200. Statement 2: The value of the parting gift is greater than Tk 1,225 and less than Tk 1,275.
- A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
- 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?
- The average weekly salary per head of all employees is Tk. 1000 (Supervisors and Labours). The average weekly per head salary of all supervisors is Tk. 6000 while the average weekly salary per head of all labours is Tk. 750. If there are 840 labours in it find the number of supervisors
- Instructions: DO NOT USE CALCULATOR. Figures are not drawn to scale. If x, y and z are positive integers such that when x is divided by y, the remainder is z and when x is divided by z, the remainder is (y-2), then which of the following must be true?
- An electric pole 36 meters high casts a shadow of 24 meters at a particular time of a day. Find the height of a tower if it casts a shadow of 48 meters under similar weather conditions
- The cost of 4 pens is equal to the cost of 6 pencils. The cost of a CD is equal to the cost of 4 pencils and the cost of a book is equal to the cost of 6 pens. What is the ratio of the cost of a book to the cost of a CD?
- There were n books in a store. After 1/6th of the books were sold and 5 more books were procured, the total number of books in the shop stood at 65. What was the original number of books in the shop?
- In a class of 78 students 41 are taking French, 22 are taking German. One of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
- 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?
- Two men P and Q Start from a place walking at 5 km /hr and 6.5 km/hr, respectively . What is the time they will take to be 92 km apart , they walk in opposite directions?
- When 10 is divided by a positive integer n, the remainder is \(n - 4\) which of the following could be the value of n?
- 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?
- একটি প্রতিষ্ঠানের ৪০% কর্মচারী আন্ডারগ্রাজুয়েট অবশিষ্ট কর্মচারীদের ৫০% গ্রাজুয়েট এবং অবশিষ্ট ১৮০ জন পোস্ট গ্রাজুয়েট। প্রতিষ্ঠানটির কত জন কর্মচারী গ্রাজুয়েট?
- A train covers the distance y miles between two cities at a speed of x mph, arriving 2 hours late. What speed would permit the train to arrive on schedule?
- One City-bus charges BDT 'p' for the first half-kilometer of a trip and BDT 'p/8' for each additional half- kilometer. What is the charge for a trip whose distance in kilometers is the whole number 'q'?
- 3, 9 ও 4 এর চতুর্থ সমানুপাতিক কত?
- ৭.২ কিলোগ্রাশের কত অংশ ১৮ গ্রাম?