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

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Question 378114: Connor has hired two painters to paint his house. The first painter charges $12 an hour and the second painter charges $11 an hour. It will take 15 hours of labor to paint the house.
a. Write a polynomial to represent the total cost of the job if the first painter does x hours of the labor.
b. Write a polynomial ot represent the total cost of the job if the second painter does y hours of the labor.
Click here to see answer by stanbon(57282)

Question 378756: One pump can drain a pool in 7 minutes. When a second pump is also used together with the first, the pool only takes 2 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?
Click here to see answer by user_dude2008(1861)

Question 379032: Sally can paint a room in 3 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together?
Click here to see answer by ewatrrr(10682)

Question 379034: A paddle boat can move at a speed of 4km/h in still water. The boat is paddled 121km downstream in a river in the same time it takes to go 6km upstream. What is the speed of the river? The speed of the river is___km/h
Click here to see answer by ewatrrr(10682)

Question 379402: Sara lives 7 miles away from work. She rides her ATV at a speed of 18 miles per hour. If she leaves work at 4:30 pm, wat time will she arrive home?
Click here to see answer by stanbon(57282)

Question 379528: A mechanic requires 3 h to repair a transmission, whereas an apprentice requires 9 h to make the same repairs. The mechanic worked alone for 1.5 h and then stopped.
how long will it take the apprentice, working alone, to complete the repairs?
Click here to see answer by ptaylor(2048)

Question 379509: a fish tank can be filled in 5 minutes if water enters through a pipe alone, or 8 minutes if water enters through a hose alone. If water enters through both a pipe and a hose, how long will it take to fill the fish tank?
Click here to see answer by ptaylor(2048)

Question 379769: Sam and Fran can plant a flower garden together in 4.2 hours. Sam can do it by himself in 6 hours. How long would it take fran to plant the garden by herself?
Click here to see answer by savannasmith(1)

Question 380293: Gerard cross-country skis 4 km/hr faster than Sally. Sally can ski 18km in the same time that Gerard skis 24km. Find there speeds.
Click here to see answer by kutekarthik(3)

Question 381055: It takes Sal 5 hours to paint a house. It takes Pal 3 hours to paint the same house. How long will it take to paint the house if both of them work together?
Click here to see answer by ptaylor(2048)

Question 381380: an in-ground pool can be filled in 12 hours if water enters through a pipe alone, or in 30 hours if water enters through a hose alone. if water is entering through both the pipe and the hose, how long will it take to fill the pool?
PLEAASE HELP MEE!!
Click here to see answer by neatmath(300)

Question 381486: Hi,
I have been trying to solve the below. I realise quadratic equations are involved but have only managed to get as far as 12[(1/x)+(1/x(x+7)]. Every time I try and get any further I get truely odd results! If you could please help.
Thank you!
Charlotte
Bob takes seven hours longer than Norman to paint a house. If they work together, they can paint the house in 12 hours.
How long would it take each one of them, working alone, to paint the house?
Click here to see answer by ewatrrr(10682)

Question 381467: The OfficeJet printer can copy Maria's dissertation in 10 min. The LaserJet printer can copy the same document in 22 min. If the two machine work together, how long would they take to copy the dissertation?
Click here to see answer by checkley79(3050)

Question 381637: How many liters of a 10% alcohol solution must be mixed with 20 liters of a 40% solution to get a 20% solution?
-Thankyou
Click here to see answer by ewatrrr(10682)

Question 382345: If 2 workers can assemble a car in 8 hours and third workers can assemble the car in 12 hours, then how long will take the 3 workers to assemble the car?
Click here to see answer by ptaylor(2048)

Question 382325: Three painters can paint six fences (all the same size) in three hours. How many fences can seven painters pain in five hours?
Click here to see answer by ptaylor(2048)

Question 382935: if it takes 5hrs.to clean 2/3 of a large boat how long will it take to clean whole boat?I dont understand it I am very confused I am starting school after 25 years of being out of school please help, where I can understand. the kids in my class are half my age I feel intimidated by the math.
Click here to see answer by ptaylor(2048)

Question 383572: If 8 painters can paint the house in 6 hours, how long will it take 12 painters to paint the house?
Click here to see answer by Fombitz(13828)

Question 384108: It takes 3 men 5 days to pave one mile of road. How long would it take 2 men to pave 10 miles?
Click here to see answer by ewatrrr(10682)

Question 384139: Ron can mow the lawn in two hours more time than Paul. Working together they can mow the lawn in 3 hours. How long does it take each of them working alone? Round your answers to the nearest tenth of an hour, if necessary.
A)Paul: 4 hours, Ron: 8 hours
B)Paul: 5.2 hours, Ron: 7.2 hours
C)Paul: 7.2 hours, Ron: 5.2 hours
D)Paul: 8 hours, Ron: 4 hours
Click here to see answer by ewatrrr(10682)

Question 384186: Line A fills tank in 3 hours. Line B fills tank in 4 hours. Line C empties tank in 5 hours. With all lines open how long until tank is 3/5 full
Click here to see answer by ewatrrr(10682)

Question 384360: together it takes john and carl 6hours and 25 minutes to sort recycyle material. Alone, John would require 6 more hours than carl. how long would it take carl to do the job alone?
(x+6) John
x carl
385 is 6 hours & 25 min converted to minutes
1/(x+6) + 1/x = 385
LCD is 385x(x+6)
385x +385x + 2310=385x^2+2310x
770x+2310=385x^2+2310x
how do i foil or what next???
=385x^2-1540x-2310
Click here to see answer by mananth(12270)

Question 384750: The number of hours the outlet of a water tank takes to empty it is the square of the number of hours the inlet takes to fill it. There are two such identical tanks. One is filled and the other is empty. The outlet of the full tank is opened at 8 AM. At the same time, both the inlet and the outlet of the empty tank are also opened. If the empty tank got full and the full tank got completely emptied at the same time, what time of was it?
1 PM

2 PM

12 noon

10 AM//

very tuff
Click here to see answer by ewatrrr(10682)

Question 385920: Two printers can print a 280-page document in 20 minutes. One of the printers can print 6 pages per minute. How many pages can the other printer print per minute?
Click here to see answer by mananth(12270)

Question 386140: one man working alone can paint a room in 5 hours, another man can paint it in 7 hours alone. How long will it take two men working together to paint the room?
Click here to see answer by Alan3354(30993)

Question 385973: A pump can fill a swimming pool in 8 hours. The pool also has a drain that can empty the pool in 10 hours. If someone turns on the pump to fill the pool, but forgets to shut the drain, how long would it take for the pool to fill?

Click here to see answer by scott8148(6628)

Question 386500: a mechanic and his helper can repair a car in 7 hours. the helper takes twice as long as the mechanic. how long would it take the helper to make the repair working alone?
Click here to see answer by ewatrrr(10682)

Question 387139: A painter Can finish painting a house in 4 hours. Her assistant takes 6 hours to finish the same job. How long would it take for them to complete the job if thety worke together?
Click here to see answer by scott8148(6628)

Question 387576: Can someone help me please. I do not know how to work out this problem.
There are two machines that produce aluminum cans. The newer machine can produce 6600 cans in 220 minutes. It takes the older machine 330 minutes to produce that many cans. If the two machines work together, how long will it take them to produce cans?
Thank you so much I am confused.
Click here to see answer by ptaylor(2048)

Question 387668: A larger pipe can empty a pool in 6 hrs and a smaller pipe can empty the same pool in 9 hrs. How long will it take both pipes to empty the pool?
Click here to see answer by josmiceli(9664)

Question 387867: If Michael can paint a house in 8 hours and a Samantha can paint a house in 2 hours, how long will it take them together?
Click here to see answer by Edwin McCravy(8893)

Question 387868: If Michael can paint a house in 8 hours and a Samantha can paint a house in 2 hours, how long will it take them together?
Click here to see answer by scott8148(6628)

Question 387936: An aquarium tank can hold 6000 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 50 minutes. The second pipe can fill the tank in 75 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
Click here to see answer by Alan3354(30993)

Question 388002: 1. My husband is a terrific cleaner. If he cleans the living room, it takes him 2 hours and 5
minutes. If I help, we can do the job in 1 hour and 20 minutes. How long does it take for
me to do it by myself?

Click here to see answer by Theo(3458)

Question 387859: The table shows how much a pizza costs based on its size in diameter (in). Find the rate of change in cost with respect to the size of the pizza.
Diameter (in) - 12, 14, 16
Cost (4) - 14, 18, 22
Click here to see answer by ewatrrr(10682)

Question 388465: It takes Jonathan two thirds as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hours, how long would it take Juancho to do the work alone?
Click here to see answer by nerdybill(6951)

Question 388532: working together , two people can cut a large lawn in 5 hours. One person can do the job alone in 2 hours les than the other. how long would it take the fastest person to do the job?
Click here to see answer by lwsshak3(6490)

Question 388573: if a boy kills himself every second how many lives would he have in a year

Click here to see answer by richard1234(5390)

Question 388573: if a boy kills himself every second how many lives would he have in a year

Click here to see answer by solver91311(16872)

Question 387792: A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 120 bacteria.
How long will it take for the number of bacteria to reach 122,880?
Click here to see answer by robertb(4012)

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