John, Paul, and George can finish a job in 12, 16, and 19 hours respectively. John and Paul worked together for 4 hours. Paul got tired so George worked in place of him until the job is finished. How long did John work?

Q: 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2020 cats to kill 2020 mice?

A:

Q: On average, Raymond takes 3 more hours to build a shelf than Lawrence. If working together Raymond…

A: Let time taken by Lawrence to build the shelf is x hoursTime taken by Raymond is x+3Working together…

Q: Mario can finish a job 2 hours longer than Karlo. After Mario had been working for 1 hour, Karlo…

A:

Q: A garden hose can fill a swimming pool in 7 days, and a larger hose can fill the pool in 2 days. How…

A: We have to calculate first the fraction of pool filled by both hoses in 1 day. Then, time taken by…

Q: two joiners and five mates earn 1824 between them for a particular job. if a joiner earn 72 more…

A: Here is the solution:

Q: Sarah and Mateo do a job together in three hours. Working alone, Sarah does the job in 5 hours. How…

A:

Q: Saito and kevkev have to stuff and prepared 1000 hotdogs for a new marketing campaign. Saito can do…

A: Let Kevkev prepares hotdog alone in x hr. So, the rate of Kevkev   would be 1000x hotdogs/hr Saito…

Q: A garden hose can fill a swimming pool in 3 days, and a larger hose can fill the pool in 2 days. How…

A:

Q: to edit a manuscript, riley charges $50 for the first 2 hours, and $20 per hour after the first 2…

A:

Q: Two handymen can do a home repair in 2 hours if they work together. One of the men takes 3 hours…

A:

Q: A fireman is on the middle step of a ladder. There are the same number of steps above him as below…

A: Solution: The objective is to find how many total steps does ladder have

Q: A painter can finish painting a house in 7 hours. Her assistant takes 9 hours to finish the same…

A:

Q: Ann can clean a house in 7 hours and Michael can do it in 5 hours. They agreed to clean the house…

A: We can find the required time as below

Q: One inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 15 hours. How…

A: Given: The time taken by the pipe to fill an empty pool is 9 hours. The time taken by the drain to…

Q: An inlet pipe can fill a backyard pool in 10 hours, while the drain can empty it in 12 hours. If…

A: The fraction of the pool fill in 1 hour will be 110. The fraction of the pool drain in 1 hour will…

Q: Dave and Sandy Hartranft can paint a room together in 4 hours.    Working alone, Dave can paint the…

A: Let the time for Sandy be x hrs.Therefore, time for Dave is (x - 2) hrs.Time taken when Dave and…

Q: In a biology course, students spend a total of 290 minutes in lab and lecture each week. The lab…

A: We will find how many minutes students spend in lab and in lecture as following.

Q: Dylan and Bryan collect a fixed number of seashells every day. Dylan collected 6 more seashells than…

A: Its given that both Dylan and Bryan had started collecting seashells on the same day and everyday…

Q: The capacity of an elevator is either 20 children or 15 adults. If 9 children are currently in the…

A:

Q: The sum of Clyde and Wendy’s age is 64. In four years, Wendy will be threetimes as old as Clyde. How…

A: To find the age of Clyde and Wendy.

Q: A man can clear his driveway using a snowblower in 45 minutes. It takes his son 2 hours to clear the…

A: given  father clear hid driveway using snowblower in 45 minutes son clear the drive using a sholve…

Q: A swimming pool can be filled in 11 hours if water enters through a pipe alone, or in 21 hours if…

A: Given:- A swimming pool can be filled in 11 hours if water enters through a pipe alone, or in 21…

Q: Jerry can frame a room in 1 hour, while jake takes 4 hours. How long would it take for them to frame…

A:

Q: Ann can clean a house in 7 hours and michael can do it in 5 hours. they agreed to clean the house…

A: Given,  Ann can clean the house in 7 hours .  Michael can clean it in 5 hours.

Q: A stone mason can set one piece of large granite in 2/3 hours. how many pieces can he set in 8…

A: We will use unitary method to solve this.

Q: Adele and Adrianne can wash a car together in 2 hours. Adrianne, working alone can wash the same car…

A: We have given,Adele and Adrianne can wash a car together in 2 hoursAdrianne alone can wash a car in…

Q: Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will  be…

A: Form the equation using a variable and solve it.

Q: If Jim and Jerry work together they can finish a job in 4 hours. If workingalone takes Jim 10 hours…

A:

Q: Ramon is 5 feet tall while Carlo is 5 feet and 10 inches tall. If Ramon casts a shadow of 6 feet 6…

A:

Q: Ally, Megan, Rachel and Liz shared a weekend babysitting job. Aly babysat 0.4 parts of the time,…

A:

Q: Six men can dig a trench in 6 days and 4 men can backfill it in 4 days. How many days can 8 men dig…

A: This is time and work problem

Q: The capacity of an elevator is either 25 children or 19 adults. If 8 children are currently in the…

A:

Q: One maid can clean the house in 2 hours. Another maid can do the job in 5 hours. How long will it…

A:

Q: It takes one team 9 days less than another team to paint a house. If the teams work together, it…

A: Time and Work question

Q: If $5000 dollars is invested at 8% simple interest, how long does it take for the investment to be…

A: Concept Used:(The simple interest) The simple interest formula is A=P(1+rt) where P=The principal,…

Q: A train leaves Little Rock , Arkansas, and travels north at 75 kilometers per hour. Another train…

A: One train travels north at 75 kilometers per hour. Another train travels south at 60 kilometers per…

Q: A painter can finish painting a house in 3 hours. Her assistant takes 5 hours to finish the same…

A:

Q: The total ages of Mario, his wife and his on is 110 years. Mario's age is 10 years more than the…

A: Suppose age of Mario is M, age of his wife is W and age of his son is S. Then M+W+S=110...(1) Now,…

Q: The capacity of an elevator is either 25 children or 19 adults. If 9 children are currently in the…

A:

Q: Two gardeners can do the weekly yard maintenance in 8 minutes if they work together. The older…

A:

Q: A number is divided into two parts such that when the greater part is divided by the smaller, the…

A: Let the bigger number is a and the smaller number is b

Q: A pond can be filled by one pipe in 8 hours and by a second pipe in 24 hours. How long will it take…

A: Consider the given information. A pipe can be filled in 9 hours and a pipe is fitted in another 12…

Q: Hannah can paint a room in 9 hours. destiny can paint the same room in 15 hours. How long does it…

A:

Q: Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours. a) How long…

A: Given Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours.

Q: Arthur can do a job in 30 minutes, Bonnie can do it in 40, and Clair can do it in 60 minutes. How…

A: let x be the time required in working together. Explanation of the answer is as follows

Q: indy can construct 100 identical boxes in two days less than Carl. If they work together, they can…

A: Definition used -               If A completes work in x days and B completes work in y days.…

Q: On a math test, Theo can answer 2 questions in 3 minutes. How many minutes will it take him to…

A: Given that Theo can answer 2 questions in 3 minutes. We have to find that in how many minutes Theo…

Q: A bus travels 180 miles in 3 hours, how far does the bus travel in hourly? How far can the bus go in…

A:

Q: One custodian cleans a suite of offices in 6 hours. When a second worker is asked to join the…

A: Solve the given problem.

Q: In 1whole1/4 hours more time, Rita, riding her bicycle at 12 miles per hour, rode 2 miles farther…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.