A job can be done in as many days as there are men in the group. If the number of men is reduced by 4, the job will be delayed by 5days. How many men were there originally in the group?

Q: A pool is 50 meters long and 15 meters wide. if it is to be filled with water to a uniform depth of…

A: Volume of a pool

Q: I am three times as old as my son.Five years later,I sall be two and half time as old as my son.How…

A: In the question, I am three times as old as my son Five years later,I sall be two and half time as…

Q: Assume that an​ airline's flights for Miami leave every 22 minutes and flights for Dallas leave…

A:

Q: If five times the fifth term of an AP is equal to 8 times its eighth term, show that its 13th term…

A:

Q: If the 10 term of an AP is 21 and the sum of its first ten terms is 120 find its n term

A:

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: A group of friends agrees to share the cost of a $50,000 yacht equally. Before the purchase is made,…

A: Let there were x persons  So each person was paying 50000/x    When a new person joins then there…

Q: The number of cells in a tumor doubles every 4.5 months. If the tumor begins with a single​ cell,…

A: After every 4.5 month , cells doubles . So, sequence of tumour cells is like GP -  1 , 2, 4, 8,…

Q: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6…

A: Speed - Distance/Time For person (P1) speed = 10 m/s For person (P2), speed = 6m/s   P2 has a…

Q: A student needs 6 more classes to graduate. If she has met the prerequisites for all the classes,…

A: The formula for the number of n combinations taken r at a time is given by Crn=n!r!n-r!.

Q: Suppose that there are 50 scissors needed to be replenished at P25 each, and that each glue costs…

A: Total cost of scissors is, Number of scissors×cost of each scissor=50×25=1250

Q: Suppose that a university had an enrollment of 9000 students in 1991 and each year thereafter…

A: The initial number of students in 1991 is 9000. It is given that every year the students increase by…

Q: How many workers will be needed to complete a task in 8 days, given that 4 workers can complete the…

A:

Q: A person is 4 years old and his sister is half his age, so if this person is a hundred years old,…

A: Given: Age of the person = 4 years Age of the sister = 2 years (half of that of person's age)…

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: a) How many three-digit numbers less than 700 can be made using the digits 9, 7, 4, and 2? (Each…

A:

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: A virus spreads through a network of computers such that each minute,25% more computers are…

A: This can be found by exponential growth : y=a(1+r)x a= initial value = 1 computer r=25%=0.25 x=1…

Q: A and B can do a piece of work in 3 days, B and C in 4 days, while A and C in 2.5 days. In how many…

A:

Q: A woman with a basket of eggs finds that if she removes the eggs from the basket 3 or 5 at a​ time,…

A: Ans 16

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: town has a population of 15,000 and grows at 7% every year. What will be the population after 10…

A: Explanation of the answer is as follows

Q: A company hires 5 electricians to do a job in a period of 8 days. How many days would it have taken…

A:

Q: Lets suppose that for the month of December, company A's stock decreased from $42 to $37 per share…

A: Step1:There are two types of shares, company A's shares and company B's share.Let us consider number…

Q: A time traveler can take 5 books with him, and he has 76 books to choose from. How many different…

A:

Q: A certain number is doubled and then divided by 8. If after subtracting 4 from this result, one gets…

A: The statements involving algebraic operations and expression namely addition , subtraction ,…

Q: Suppose that a lawn can be raked by one gardener in 5 hours and by a second gardener in 4 hours. How…

A: One gardener can make the lawn in 5 hours Another gardener can make the lawn in 4 hours

Q: Suppose that there are 8000 students in a college and 400 students had contracted the flu at the…

A: 1st we have to make a differential equation for number of students get  contracted and the have to…

Q: If a boy saved 25 on the 1st day, 27 on the 2nd day, 29 on the third day, and so on, how many days…

A: It is given that saving on the first day 25 on second day 27 and on the third day 29. it means…

Q: A team of 24 workers was on a job that will finished in 70 days. 10 more workers were hired on the…

A: Given that a team of 24 workers will finish a job in 70 days. so 1 worker in 1 day will finish…

Q: How many children are there in a family wherein each girl has as many brothers as sisters, but each…

A: Let assume Number of sister = x Number of brother = y

Q: The average age of the students in Class A is more than 11 years old. If ten out of the eleven…

A:

Q: In a league of nine football teams, each team plays every other team in the league exactly once. How…

A: Given football league consisting of 9 teams, each team play each other team exactly once

Q: how many men will be required?

A: Eight men can paint a building in three days. Assuming that men work at the same rate, and the…

Q: In the Brady's Family, each girl has twice as many brothers as she has sisters. However, each boy…

A:

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: From the given information, There are 26 letters in total in which we have to select three letters…

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A: Given:- Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets…

Q: Five years ago, Al is 6 years younger than Je who is at that time 2 years more than twice as old as…

A: Let the age of Al before 5 years be a   Let the age before 5 years of Je be,  bThen, b=a+6or,…

Q: A can do a piece of work in 80 days . He works at it for 10 days and then B alone finishes the…

A:

Q: A time traveler can take 4 books with him, and he has 98 books to choose from. How many different…

A:

Q: Suppose a culture of 500 bacteria is placed in a dish and the culture doubled every hour, how many…

A:

Q: Suppose that the number of bacteria in a colony triples every hour If 100 bacteria are used to begin…

A: Given: 100 bacteria  time =10 hours

Q: A group of people come forward to claim a $1,000,000 lottery jackpot, which the winners are to share…

A: Given : A group of people comes forward to calin a $1,000,000 lottery jackpot which the winners are…

Q: Suppose  a culture of 300 bacteria is put in a petri dish and the culture doubles every hour.…

A: Given: - A culture of 300 bacteria is put in a petri dish and the culture doubles every hour. To…

Q: The doubling time of a population of flies is 20 days.  If there are initially 250 flies, how many…

A:

Q: A ball is dropped from a height of 192 feet. If it rebounds 3 4 of the height from which it falls…

A:

Q: A farmer knows that of every 50 eggs his chickens lay, only 45 will be marketable. If his chickens…

A: we have been given the information that  out of 50 eggs, only 45 are marketable

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A: Given, Advance tickets cost $25 and same-day tickets cost $35. Total amount paid $1900.Let us…