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

Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)

Question 120000: One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open?
Click here to see answer by josmiceli(9645)

Question 121068: Please help me with this word problem:
Write an equation and solve. Aaron and Karen are agruing over who should clean the house. Aaron can clean the whole house in 12 hours. It takes Karen 6 hours to clean the same house. If they both clean the house, starting at opposite ends, how long will it take for the house to be cleaned?
Click here to see answer by josmiceli(9645)

Question 121005: joe can paint all the rooms of a house in 20 hours it takes ross 60 hours to do the same thing. How long would it iake them if they worked together?
Click here to see answer by ptaylor(2048)

Question 121396: A consulting engineer's time is billed at $100 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $1200 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on the job?
Click here to see answer by checkley71(8403)

Question 121664: Mary takes 3 hours to complete a task. Mary and Jim together take 2 hours to complete the same task. How long will it take Jim to complete the task working alone?
Click here to see answer by checkley71(8403)

Question 121694: Martha can rake the leaves in her yard in 8 hours. Her brother can do the job in 6 hours. How long will it take them to do the job working together?Mar
Click here to see answer by oscargut(891)

Question 121716: Two people together can do a certain job in twenty minutes. If one of them can do the job alone in forty-five minutes, how long will the other person take to do the job alone?
Click here to see answer by stanbon(57203)

Question 121837: Derek left the ranch on horseback, riding at 21km/h. One hour later his brother Jonathon left the ranch to catch up with Derek. Jonathon rode at 25km/h. How long did it take for Jonathon to catch up to Derek?
Click here to see answer by checkley71(8403)

Question 121862: Felicia and Rachelle are students in Mr. Johnston's Math 12 class. They got behind on their workcand need to finish seven assignments on the weekend. It would take Felicia 4 hours to finish the work by herself. It would take Rachelle 5 hours. If they worked together, how long would it take them to finish the work?
(answer in hours and minutes please:] )
Click here to see answer by ankor@dixie-net.com(15622)

Question 121973: 1) Glenn can paint a house in 9 hours while Stewart can paint the same house in 16 hours.They work together for 4 hours.After 4 hours,Stewart left and Glenn finished the job alone.How many more hours did it take Glenn to finish the job?
2)It takes Butch twice as long as it takes Dan to do a certain piece of work.Working together they can do the work in 6 days.How long would it take Dan to do it alone?
3)A and B working together can finish painting a house in 6 days.A working alone can finish it in 5 days less than B.How long will it take each of them to finish the work alone?
Click here to see answer by Edwin McCravy(8879)

Question 122330: Batman can clean up all of the crime in Gotham city in 8hr working alone. Robin can do the same job alone in 12hr. If Robin starts crime fighting at 8 A.M. and Batman joins him at 10 A.M.. then at what time will they have all of the crime cleaned up?
Click here to see answer by ankor@dixie-net.com(15622)

Question 122701: Mark can overhaul an engine in 20 hours and Phil can do the same job by himself in 30 hours. If they both work together for a time and then Mark finishes the job by himself in 5 hours, how long did they work together?
Here is the work I've tried on this problem, for some reason I can't figure out the last part, the 5 hours part. Here's what I've got so far:
T(1/30 + 1/20) = 1
T(2 + 3) = 60
5T = 60
T = 12
So when they work together, it would take them 12 hours total, right?
Then I need the last part:
Would it be 12 hours minus the rate of Mark's last 5 hours?
12 - 5(1/20)= T ? T = 11.75? They worked together for 11 hours and 45 minutes?
Please let me know if I'm on the right track or if I'm way off. I hope I haven't confused you as much as I've confused myself!
Thanks!

Click here to see answer by ankor@dixie-net.com(15622)

Question 123056: Suppose you want to fence a rectangle area for your dog.You will use the house as one of the four sides.Since the house is 40 ft wide,the length l needs to use at least 150 ft of fencing.Graph the following system to find possible dimensions for the rectangle.
l<=40
l+2w>=150
Click here to see answer by checkley71(8403)

Question 122931: Two welders who work at the same rate are welding the girders of a building. After they work for 10 hours, one welder quits. The second welder requires 20 more hours to complete the welds.Find the time it would have taken one of the welders working alone to complete the welds.
Click here to see answer by ankor@dixie-net.com(15622)

Question 123055: Suppose you want to fence a rectangle area for your dog.You will use the house as one of the four sides.Since the house is 40 ft wide,the length l needs to use at least 150 ft of fencing.Graph the following system to find possible dimensions for the rectangle.
l<=40
l+2w>=150
Click here to see answer by ankor@dixie-net.com(15622)

Question 123732: John can mow his yard in 2 hours. His sister can mow the yard in 2.5 hours. How long will it take for them to mow their yard together.
Click here to see answer by checkley71(8403)

Question 123815: There are 45 cows and chickens in the farmyard. One qiet afternoon, Jack counted and found that there were 106 legs in all. How many cows and how many chickens are there?
Click here to see answer by rapaljer(4667)

Question 123968: john takes 3hours longer than andrew to peel 400 pounds of apples. if together they can peel 400pounds of apples in 8hours then how long would it take john if he is working alone. round answer to three decimal places
Click here to see answer by checkley71(8403)

Question 125606: a new machine can make 10000 cans three times faster than an older one. With both machines working ,10000 cans can be made in 9 hrs. How long would it take the new machine, working alone to make 10000 cans?
Click here to see answer by ankor@dixie-net.com(15622)

Question 126538: If 6 men can do a piece of work in 14 days, how many men are needed to do the work in 21 days?
Click here to see answer by josmiceli(9645)

Question 128209: It takes Tom 3 hours less to paint a fence than it does Jim. If the two boys work together, they can paint the fence in 2 hours. How many hours would each boym working alone need to paint the fence?
Click here to see answer by josmiceli(9645)

Question 128525: Assume it took 4 carpnters 20 days to build a shed. Assuming the carpenters work at the same rate, how long would it take 6 carpenters to build the shed?
Click here to see answer by ptaylor(2048)

Question 128735: I have a word problem. What is the best way to solve it? Could you please help me answer it please? Thankyou very much .The problem is:

One large hose can fill a child's backyard pool in 24 minutes. A larger hose can fill the pool in 12 minutes. If the two hoses are used together how long would it take to fill the pool?

Click here to see answer by Earlsdon(6287)

Question 128983: A worker can finish a job in 18 days.An other worker can do the same work but in 24 days and an other worker can do the same work in 30 days . If the 3 workers work 6 days together,what part of the job will be done ??

Click here to see answer by ptaylor(2048)

Question 129665: Two workers can do a job in 33/7 hours.THe first one can do the same job in 6 hours. How much time will it take for the second one to complete the job if he works alone ?

PLZZZ !! DO HELP ME ! I hv an exam tomorrow abd i dont understand this ! If someone helps me than god bless him !! PLZ
Click here to see answer by checkley71(8403)

Question 130566: Tom can do a job in 3 hours, Dick in 4 hours, and Harry in 6 hours. If they do it together (and do not delay each other), how long does the job take?
Click here to see answer by ptaylor(2048)

Question 130705: A can do a piece of work in 25 days and B can do a work in 20 days.both work together for 5days after that a leaves. how long will B need to finish the remaining work.
Click here to see answer by ptaylor(2048)

Question 131092: A large and small drain are opened to drain a pool. After both drains have been opened for 1 hour, the large drain clogs, but the small remains open and requires an additional 9 hours to drain the pool. The large drain alone can empty the pool in 6 hours. How long would it take the small drain to empty?
Click here to see answer by fners(16)

Question 131085: mar can paint a wall in 5 days while leave can finish the some work in 3 days.In how many days can they do the same work?
Click here to see answer by ptaylor(2048)

Question 131420: Hello I submitted this problem earlier but, I forgot the 2 in my email. Could I have some help with the problem. Thanks. A pond is 1200 gallons. I have two pumps. One pumps at a rate of 100 gallons an hour. The other one pumps at a rate of 60 gallons an hour. How long would it take to drain the pond if both pumps are used.
Click here to see answer by josmiceli(9645)

Question 131421: What is Work Problem and give some examples
Click here to see answer by TakeATuition.com(57)

Question 131401: I can't seem to figure out this problem. Could I please have some help in figuring it out. Bobby and Mike have a summer job mowing the school yard. One riding mower takes 7 hours and the other takes 6 hours. If they are both used to mow the yard, how long will it take.
Click here to see answer by Edwin McCravy(8879)

Question 131394: I need help in figuring out the equation for the following problem. Thank you.
Clay bought two water pumps to use to drain a 1200 gallon pond. One will pump at a rate of 100 gallons per hour. The other will pump at a rate of 60 gallons per hour. How much time would it take together to drain the pond.
Click here to see answer by ptaylor(2048)

Question 131645: Melanie can paint a barn by herself in x days. Her helper Sam can paint the same barn my himself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x=5. Please help I don't understand.....Thanks
Click here to see answer by stanbon(57203)

Question 131642: Harry sold 120 papers in x+2 days. If he sold at the same rate for another week how many papers did he sell in the extra week.
Click here to see answer by josmiceli(9645)

Question 132053: A roofing contractor estimates that he can shingle a house in 20 hours and that his assistant can do it in 30 hours. How long will it take them to shingle the house working together? If you could explain how to do it, that would be great. Thanks.
Click here to see answer by edjones(7569)

Question 132056: Phil can paint the garage in 12 hours and Rick can do it in 10 hours. They work together for 3 hours. How long will it take Rick to finish the job alone? Notice: Although they work for 3 hours, they did not finish the job. Please help me and answer this. If you could explain fully, clearly, and easily, that would be wonderful. Thanks!
Click here to see answer by edjones(7569)

Question 132055: Using a new lawn mower, Abby can mow the lawn in 2 hours. Her sister Carla uses an older mower and takes 3 huors to mow the same lawn. How long will it take them if they work together? Please tell me how you answer it. That would be awesome.
Click here to see answer by bucky(2189)

Question 132054: Stan can load his truck in 24 minutes. If his brother helps him, it takes them 15 minutes to load the truck. How long does it take Sam's brother alone? Is the answer 40 minutes? I'm just taking a wild guess. If you could tell me the REAL answer and how you solved it, that would be awesome. Thanks.
Click here to see answer by bucky(2189)

Question 132050: Chuck can shovel the snow off his driveway in 40 minutes. He shovels for 20 minutes and then is joined by Joan. If they shovel the remaining snow in 10 minutes, how long would it have taken Joan to shovel the driveway alone? I don't want just the answer. If you could provide how you did it and the equations, that would be a life saver. Thanks.
Click here to see answer by bucky(2189)

Question 132052: It takes Gary 1 hour to milk all the cows, and it takes Dana 1.5 hours. How long will it take them to do the job together? Please explain all the steps and models/equations used. Thanks so much.
Click here to see answer by ptaylor(2048)

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