Questions on Word Problems: Rate of work, PAINTING, Pool Filling answered by real tutors!

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Question 1166342: A woman and
her son are playing on a seesaw. The boy is at one end, 16 feet from the fulcrum. If the son weighs
85 lb and the mother weighs 125 lb, where should the woman sit so that the seesaw is balanced?

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Question 1166342: A woman and
her son are playing on a seesaw. The boy is at one end, 16 feet from the fulcrum. If the son weighs
85 lb and the mother weighs 125 lb, where should the woman sit so that the seesaw is balanced?

Click here to see answer by ikleyn(52754) About Me 

Question 1166677: It takes a printer 14 hours to print the class schedules for all of the students in a college. A faster printer can do the job in 8 hours. How long will it take to do the job if both printers are used?
hr

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Question 1166695: When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 19 pounds?

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Question 1166802: an express train and charter bus leave chicago to travel to champaign.the express train can make the trip in two hours and the bus takes five hours for the trip. the speed of the express train is 42 miles per hour faster than the speed of the bus. find the speed of the bus?
In riding a vehicle/, which rate per miles you prefer? which is safe to travel?

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Question 1166802: an express train and charter bus leave chicago to travel to champaign.the express train can make the trip in two hours and the bus takes five hours for the trip. the speed of the express train is 42 miles per hour faster than the speed of the bus. find the speed of the bus?
In riding a vehicle/, which rate per miles you prefer? which is safe to travel?

Click here to see answer by solver91311(24713) About Me 

Question 1167193: Two trains made the same 360-mile run. Since one train traveled 10 mph faster than the other, it arrived 3 hours earlier. Find the speed of each train.
Click here to see answer by ikleyn(52754) About Me 
Question 1167193: Two trains made the same 360-mile run. Since one train traveled 10 mph faster than the other, it arrived 3 hours earlier. Find the speed of each train.
Click here to see answer by Boreal(15235) About Me 

Question 1167212: If one pipe can empty a tank 5.5 times faster than another pipe can fill the tank and together the tank will be emptied in 16.5 hours, how long would it take the slower pipe to fill the tank alone?
Click here to see answer by ikleyn(52754) About Me 

Question 1167371: f it takes 20 minutes to paint ⅛ of a wall, how long will it take to paint the entire wall?
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Question 1167867: Dimple can finish painting her room in 10 days. She started the job alone
and after working 3 days, Dimple’s cousin, Chard, joined him and
together they finished the work in another 5 days. In how many days can
Chard finish painting the room working alone?

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Question 1168153: A rectangular garden has an area of 84m² and a parameter of 38m.Find its length and width.
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Question 1168151: A projectile that is fired vertically into the air with an initial velocity of 120 ft. per second can be modeled by the equation s = 120t - 16t2. In the equation, s is the distance in feet of the projectile above the ground after t seconds.. How long will it take for a projectile to reach 216 feet? Is it possible for the projectile to reach 900 feet? Justify your answer.
Click here to see answer by ikleyn(52754) About Me 
Question 1168151: A projectile that is fired vertically into the air with an initial velocity of 120 ft. per second can be modeled by the equation s = 120t - 16t2. In the equation, s is the distance in feet of the projectile above the ground after t seconds.. How long will it take for a projectile to reach 216 feet? Is it possible for the projectile to reach 900 feet? Justify your answer.
Click here to see answer by Alan3354(69443) About Me 

Question 1168382: Working alone, it takes Asanji EIGHT hours to dig a 10 ft by 10 ft hole. Brenda can dig the same hole in NINE hours. How long would it take them if they worked together
Click here to see answer by josgarithmetic(39613) About Me 
Question 1168382: Working alone, it takes Asanji EIGHT hours to dig a 10 ft by 10 ft hole. Brenda can dig the same hole in NINE hours. How long would it take them if they worked together
Click here to see answer by ikleyn(52754) About Me 
Question 1168382: Working alone, it takes Asanji EIGHT hours to dig a 10 ft by 10 ft hole. Brenda can dig the same hole in NINE hours. How long would it take them if they worked together
Click here to see answer by Boreal(15235) About Me 

Question 1168340: The owners of a recreation area are filling a small pond with water. Let W be the total amount of water in the pond (in liters). Let T be the total number of minutes that water has been added. Suppose that W=35T+300 gives W as a function of T during the next 70 minutes
Click here to see answer by ikleyn(52754) About Me 

Question 1168723: Arman can finish repairing the roof in three hours. If Armando helps his father Arman, the job will be done in two hours. If Armando decides to work alone, how long would it take him to finish repairing the roof?

Click here to see answer by josgarithmetic(39613) About Me 

Question 1168727: A box with a square base is to have a volume of 8 cubic meters. Let x be the length of
the side of the square base and h be the height of the box. What are the possible
measurements of a side of the square base if the height is shorter than a side of the
square base?

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Question 1168732: A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that is mowed (x)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on a car.
Click here to see answer by ikleyn(52754) About Me 

Question 1168733: A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that is mowed (x)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on a car.
Create a model in standard form to represent this linear relationship.

Identify the x-intercept. Explain what this means in the context of the problem.

Identify the y-intercept. Explain what this means in the context of the problem.

Identify two combinations that are solutions to this equation. Explain what these combinations mean in the context of the problem.

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Question 1168449: The local post office has three machines for sorting the mail. If each works alone, machine A can accomplish the job in 2 hours, machine B in 3hours and machine C in 1 1/2 hours. Machine C begins the job and works for half an hour when it suddenly breaks down. Machine A and B are then activated and work together to complete the sorting process. How long does it take for machines A and B to finish.
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Question 1168449: The local post office has three machines for sorting the mail. If each works alone, machine A can accomplish the job in 2 hours, machine B in 3hours and machine C in 1 1/2 hours. Machine C begins the job and works for half an hour when it suddenly breaks down. Machine A and B are then activated and work together to complete the sorting process. How long does it take for machines A and B to finish.
Click here to see answer by MathTherapy(10549) About Me 

Question 1168925: it takes james 2 hours longer to do certain job than it takes Philip. They worked together for 3 hours then philip left and james finished the job for one more hour. how long would it take each of them to do the job alone? (1 variable only)
Click here to see answer by josgarithmetic(39613) About Me 

Question 1168933: Christy can finish typing one letter ahead of John by 1 min. Together they can finish 27 letters in 60 mins. How long does it take for each to finish typing one letter?
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Question 1168981: If you can type 900 words in a quarter of an hour. How many words per minute can u type?
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Question 1168981: If you can type 900 words in a quarter of an hour. How many words per minute can u type?
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Question 1168981: If you can type 900 words in a quarter of an hour. How many words per minute can u type?
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Question 1168983: Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 4 hours. Chris can paint the same house in 3 hours. The three working together can paint the house in 1 hour. How many hours does it take Lexi to paint the house?
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Question 1169052: Tom and dick working together can perform a task in 2 hours and 24 minutes. Dick and harry working together can perform the same task in 3 hours and 36 minutes. If dick works alone, he can complete the task in 6 hours. How long will it take tom and harry perform the task working together ?
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Question 1169063: A tank containing 50 litres of water develops a leak and loses water at a constant rate. After 20 minutes it contains 40 litres. After a further 30 litres the tank is 5% of it's full capacity. Determine the tank capacity?
Click here to see answer by htmentor(1343) About Me 

Question 1169137: Christine can do the job in 4 days. When Christine and Jayson work together, it would
take them 2 1/3 days. Find the number of days if Christine will work alone.

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Question 1169137: Christine can do the job in 4 days. When Christine and Jayson work together, it would
take them 2 1/3 days. Find the number of days if Christine will work alone.

Click here to see answer by MathTherapy(10549) About Me 

Question 1169315: A master painter can paint the room in 5 hours, while his apprentice can do the same job in 7 hours. In how many hours will they paint the room if they work together?
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Question 1169485: (a) A tank is filled by an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the tank?

(b) Before the pandemic, Ana can sanitize their room in 45 minutes and Clair can do the same work in 30 minutes. How long it take them to finish the same work if they work together?

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Question 1169485: (a) A tank is filled by an intake pipe in 2 hours and emptied by an outlet pipe in 4 hours. If both pipes are opened, how long will it take to fill the tank?

(b) Before the pandemic, Ana can sanitize their room in 45 minutes and Clair can do the same work in 30 minutes. How long it take them to finish the same work if they work together?

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Question 1170394: An express train and a charter bus leave Chicago to travel to Champaign. The express train can make the trip in two hours and the bus takes five hours for the trip. The speed of the express train is 42 miles per hour faster than the speed of the bus. Find the speed of the bus?

Click here to see answer by ikleyn(52754) About Me 

Question 1170585: Alvin and Lito washed the family car in 18 minutes. When each washed the car alone, Lito took
15 minutes longer to do the job than Alvin. How long did it take Alvin to washed the car?

Click here to see answer by ikleyn(52754) About Me 

Question 1170604: It takes Robert 9 hours longer to construct a fence than it takes Eldin. If they work together,
they can construct the fence in 20 hours. How long would it take each, working alone,
to construct the fence?

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Question 1170604: It takes Robert 9 hours longer to construct a fence than it takes Eldin. If they work together,
they can construct the fence in 20 hours. How long would it take each, working alone,
to construct the fence?

Click here to see answer by MathTherapy(10549) About Me 

Question 1170600: Marivic is five years older than Michelle. In three years, the product of her age and Michelle’s age
five
years ago will be 90 years old. Find their present ages.

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Question 1170602: A speedboat travels at a rate of 20 kph in still water. It travels 55 km upstream in the same time
that it travels 90 km downstream. What is the rate of the current?

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Question 1170603: Two pipes are used to to fill a water tank. The first pipe can fill the tank in 4 hours alone. The two
pipes can fill tank in 2 hours less time than the second time alone. How long will it take the
second pipe to fill the tank alone?

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Question 445916: If A's rate of doing work is to B's is 6:8 and A does a piece of work in 50 days, how long will it take B to do it?

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