A park has two sprinklers that are used to fill a fountain. One sprinkler can fill the fountain in 3 h, whereas the second sprinkler can fill the fountain in 6 h. How long will it take to fill the fountain with both sprinklers operating?

Q: If Jill jogs 2 miles in 15 minutes, how long will it take her (to the nearest minute) to jog 9 miles…

A: Given, Jill jogs 2 miles in 15 minutes  We have to find in how minutes she will take to jog 9 miles…

Q: Sally can paint a room in 7 hours while it takes Steve 9 hours to paint the same room. How long…

A: Given that sally can paint a house in 7 hours. This implies that sally’s work is 1/7.Steve can paint…

Q: A pipe can full the tub alone in 10 minutes time, another can do it in 20 minutes and drain if…

A: The first pipe can fill the tub in 10 minutes, Therefore, in one minute, the pipe can fill 110 of…

Q: A painter by himself can paint four rooms in 10 hours. If he hires a helper, they can do the same…

A:

Q: Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5…

A:

Q: A train leaves Little Rock, Arkansas, and travels north 55 kilometers per hour. Another train leaves…

A: Given, one train leaves Little rock, Arkansas and travels north 55 kilometers per hourAnother train…

Q: Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it…

A:

Q: A homeowner estimates that it will take him 9 days to roof his house. A professional roofer…

A: Solution : According to the question ;             Let,   t = The amount of time to do the job…

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: Ian can remodel a kitchen in 20 hours and Jack can do the same job in 15hours. If they work…

A: Given that Ian can finish the work in 20 hours.  So in 1 hour Ian does 1/20 work    Jack can finish…

Q: It takes Logan 8 hours to rake the front lawn while his brother, Paul, can rake the lawn in 6 hours.…

A: Logan can rake the front lawn in =8hoursPaul can rake the front lawn in =6hours

Q: One hose can fill a small swimming pool in 60 minutes. A larger hose can fill the pool in 40…

A: First hose can fill a small swimming pool in 60 minutes. So, in 1 minute first hose can fill 160…

Q: Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long…

A: Sally can paint a room in 9 hours while Steve takes 3 hours to paint the same room. How long would…

Q: Sally can paint a room in 8 hours while it takes Steve 6 hours to paint the same room. How long…

A:

Q: It takes the cold water faucet as long to fill a bathtub as it does the hot water faucet. Left on…

A:

Q: Betty paints twice as fast as Dan. Working together, Dan and Betty can paint 2,400 square feet in 4…

A:

Q: Sally can paint a room in 8 hours while it takes Steve 7 hours to paint the same room. How long…

A:

Q: Carla can plant a garden in 3 hours and Charles can plant the same gardenin 4.5 hours. If they work…

A:

Q: A freight train starts from Los Angeles and heads for Chicago at 40 mph. Two hours later a passenger…

A:

Q: Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long…

A: Sam raked 3 bags of leaves in 16 minutes

Q: One maid can clean the house in 5 hours. Another maid can do the job in 3 hours. How long will it…

A: Given,First maid can clean the house in 5 hours then the rate of work is 1/5 job/hourSecond maid can…

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

Q: sor working alone?

A: The postal worker (PW) takes 8 hours to do work alone. That means PW does (1/8) work in 1 hour Let's…

Q: for

A: In this question, concept of unitary method is applied. Unitary Method The unitary approach is a…

Q: John can wash cars 3 times as fast as his son Erick. Working together, they need to wash 30 cars in…

A: Let n be the number of cars Erick can wash per hour, then John washes 3n cars per hour.

Q: Doug went to a conference in a city 120 km away. On the way back, due to road construction, he had…

A: This question is about revenue and distance applications of quadratic equations.

Q: With two reapers operating, a field can be harvested in 1 h. If only the newer reaper is used, the…

A: Time taken by both the reapers working together is 1 h. Thus, work done by both the reapers is,…

Q: A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than…

A: A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than…

Q: Raymond can paint of a wall in 16 minutes. How long would it take him to paint of a wall?

A: Given Raymond can paint 58 os a wall in 16 minutes

Q: A man can seed a large field in 8 hours. His daughter can do the job in 6 hours. If she starts an…

A:

Q: A tank contains 8000 liters of a solution that is 40% acid. How much water should be added to make a…

A:

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: It takes the cold water faucet twice as long as long to fill a bathtub as it does the hot water…

A: Assume time taken to fill the bath tub by, cold water faucet = t1hot water faucet   = t2Both hot…

Q: One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: Given that one pipe can fill a swimming pool in 10 hours and the another pipe can empty the pool in…

Q: A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel…

A: Given:

Q: Nedra and Latonya Dominguez are 12 miles apart hiking toward each other. How long will it take them…

A:

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: Harriet’s main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

A: Harriet’s main pump can empty the pool in 15 hours while the backup pump can empty the pool in 26…

Q: Kenneth can do a cetain job in 3 hours, while Sanchez takes 5 hours to the same job. How long would…

A:

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: ) A telecom company estimates that 5 people send 1,000 text messages in a month. How many text…

A:

Q: A pipe can fill a tank in 120 minutes while the drain valve can drain it in 150 minutes. If the…

A: Assume it takes t minutes to fill the tub. pipe can fill in 120 minutes drain valve can empty in 150…

Q: one pump can empty a swimmingpool in 4 hours whilea second pump can empty the same pool in 5 hours…

A:

Q: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

Q: In an animal sanctuary, it takes 44 kg of meat per year to feed 4 dogs. How many kg of annual meat…

A:

Q: Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same job.…

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: A car leaves a town at 110 kilometers per hour. How long will it take a second car, travelling at…

A: Given, A car leaves a town at 110 kilometers per hour and a second car travelling at 125 kilometers…

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.