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 234247: PLease help me solve this word problem:
It takes Sal 5 hours to paint a house. It takes Al 3 hours to paint the same house. How long will it take to paint the house if both of them work together?
----- Thank you =)

Click here to see answer by nerdybill(6948)

Question 234516: please answer. Thanks...Marvin can weed 5 1/2 rows in his garden in 2 hours. At this rate, how many rows can he weed in six hours?
Click here to see answer by nyc_function(2733)

Question 234810: Please help me solve this word problem:
A computer store sells two different types of ink cartridges for a popular inkjet printer. The brand name cartridge sells for $28 and the generic cartridge sells for $12. Last week they sold 82 cartridges for that printer. If the total collected from the sale of these cartridges was $1,512, how many of each type of cartridge were sold?
Click here to see answer by checkley77(12569)

Question 236072: The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/7 ampere when the resistance is 35015 ohms. What is the current when the resistance is 18375 ohms?
Click here to see answer by stanbon(57203)

Question 236071: Maria, an experienced shipping clerk, can fill a certain order in 6 hours. Bill, a new clerk, needs 11 hours to do the same job. Working together, how long will it take them to fill the order?
Click here to see answer by scott8148(6628)

Question 238195: if mary paints a room in 3hours and john paints it in 4hours. how many hours for mary and john to paint the same room?
Click here to see answer by solver91311(16868)

Question 238195: if mary paints a room in 3hours and john paints it in 4hours. how many hours for mary and john to paint the same room?
Click here to see answer by JimboP1977(308)

Question 238301: Two pipes together can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe used alone take to fill the tank
Click here to see answer by checkley77(12569)

Question 238439: Mary has 200 knitted squares. Sue has 5000 knitted squares. Mary makes 20 knitted squares per hour. Sue makes 15 knitted squares per hour. Mary and Sue will start working (and continue to work every hour to add to their knitted square collections on the same day at the same hour. After the first hour, how many knitted squares will Mary have; how many knitted squares will Sue have? After the 2nd hour, 3rd hour? How many hours must they work until they both have the same amount of knitted squares?
Click here to see answer by Theo(3458)

Question 238400: Joes team can completely manicure the lawn at the Detroit Tiger's Comerica Park in 12 hours. When Sally's team was brought on to help, the job was done in about 5 1/2 hours. How long does it take Sally's team to completely manicure the lawn when they are working alone?
Click here to see answer by checkley77(12569)

Question 239761: A can do a job in 12hrs. B can do the same job in 16hrs. A does a part of work and leaves the rest for B. If A works for 9hrs, how many hours will it take B to finish the remaining job?
Click here to see answer by Theo(3458)

Question 239722: My parents have to paint their house. If my son painted it alone it would take him 4 hours longer than I would take. However, if he worked with me, he would work twice as fast. Develop a formula for how long it would take both of us working together. Simplify/reduce to lowest terms.
Click here to see answer by ankor@dixie-net.com(15622)

Question 240503: If three pipes are all opened, they can fill an empty swimming pool in 3 hours. The largest pipe alone takes 1/3 the time that the smallest pipe takes and half the time the other pipe takes. How long would it take each pipe to fill the pool by itself?
Click here to see answer by ankor@dixie-net.com(15622)

Question 240843: It takes 6 hours to fill a pool. It takes 8 hours to drain it. How long does it take to fill the pool if the drain is left opened when the pool is started to be filled?
Click here to see answer by rapaljer(4667)

Question 240853: Jack can mow the yard in 4 hours. Ryan can mow it in 6 hours. how long will it take them to mow it together?
Click here to see answer by checkley77(12569)

Question 241068: If it takes 8 machines 6 days to complete a job how many machines will it take to complete the job in half a day?
Click here to see answer by ankor@dixie-net.com(15622)

Question 241068: If it takes 8 machines 6 days to complete a job how many machines will it take to complete the job in half a day?
Click here to see answer by tamalesxd(1)

Question 240752: One good use for rational equations is the shared work problem. This solution would be of great help in scheduling employees. For example, If Bob can mow a lawn in 3 hours and Joe can do it in 5 hours, how long would it take them together? Some people would be tempted to just average the two values and get the answer of four hours, but that would be wrong since Bob can do it by himself in 3 hours.
Solve this word problem using rational equations.
What is the relation of the shared work problem to the following problem?:
I am filling my pool with two hoses. The larger hose can fill the pool by itself in 10 hours, The smaller hose can fill the pool in 15 hours. Unfortunately, I left the drain open in the pool and it can drain the pool in 20 hours. How long will it take before the pool is filled with both hoses running and the drain open?

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

Question 241924: Batman and Robin working together can capture the Joker in 3 hours. It takes Robin, working alone, 1 more hour than Batman to capture the Joker. Find how long it takes Robin to capture the Joker working alone and how ling it takes Batman to capture the joker working alone.
Click here to see answer by nerdybill(6948)

Question 242213: IF 6 PEOPLE PAINT A FENCE IN 30 MINUTES AND 4 PEOPLE PAINT THE SAME FENCE IN 1 HOUR. HOW LONG WILL IT TAKE 10 PEOPLE TO PAINT THE SAME FENCE?
Click here to see answer by solver91311(16868)

Question 242971: It takes 15 workers to build 500 ft. of fencing in 6 hours. At this same rate, how
many workers are needed to build 1000 ft. of fencing in 9 hours?

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

Question 242964: It takes 18 men 6 hours to dig a trench 720 feet long. Working at the same rate, how many feet of trench can be dug by 24 men in 8 hours?
Click here to see answer by ankor@dixie-net.com(15622)

Question 243126: Carmen's rate of solving a certain puzzle is three times that of Joseph. One day, they worked together for 40 mins, after which Joseph was called for an errand. Carmelo finished the rest of the puzzle in 20 minutes. How long would it take each to solve the puzzle alone?
Click here to see answer by ankor@dixie-net.com(15622)

Question 243471: A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 6 hours, while an outlet pipe can empty the barrel in 9 hours. How long will it take if both pipes are open?
Click here to see answer by stanbon(57203)

Question 244052: Two men together can do a piece of work in one hour and twenty minutes. The first man can do the work alone in three hours. How long would it take the second man alone to do the work? (I came up with 1 hr.29 mins. but I don't think that's right).
Click here to see answer by ankor@dixie-net.com(15622)

Question 244445: 5 men can build a house in 13 days. If 2 of the men fell sick after the 4th day, how many days would it have taken to complete the house.
Click here to see answer by ankor@dixie-net.com(15622)

Question 244924: A bird flies 2/3 of a mile per minute. How many miles per minute is it flying?
Click here to see answer by checkley77(12569)

Question 244923: A father walks 36 miles in 12 hours, while his son covers the same distance on a bicycle at twice the father's rate of speed. At this rate how many miles would the bicycle rider travel in 9 hours?
Click here to see answer by checkley77(12569)

Question 245005: It takes Joey 10 hours to clean his room, it takes his mother 5 hours to clean his room, if Joey starts cleaning at 1 pm and his mothers starts helping at 2, at what time will joeys room be clean...
Thank you.
Click here to see answer by ptaylor(2048)

Question 245699: A water tank can be filled in 7 minutes and emptied in 9 minutes. If the drain is accidentally left open when the tank is being filled, how long does it take to fill the tank?
Click here to see answer by stanbon(57203)

Question 245846: If a machine A makes 1000 gidgets in 4 hours, and machine B makes 1000 gidgets in 8 hours, how long will it take both machines to make 1000 gidgets??
Click here to see answer by nerdybill(6948)

Question 246035: A clerk can process 350 forms in 2 3/5 days. It takes 1 2/3 days for another clerk to process the same 350 forms. If both clerks work together, how long will it take them to process the 350 forms?
I have tried to work it out and got the following:
Clerk 1 can do 350/(13/5) forms per day = 1750/13 forms per day
Clerk 2 can do 350/(5/3) forms per day = 1050/5 forms per day
I have no idea where to go from there as the bases aren't equal and I'm not sure if I went about it correctly to begin with :| Any help is greatly appreciated!
Click here to see answer by marcsam823(57)

Question 245715: It takes pipe B 5 hours longer to drain a tank than pipe A. If both pipes are open it take 6 hours to drain the tank. How long does it take for Pipe A working alone to drain the tank?
Click here to see answer by marcsam823(57)

Question 246480: Ethan can paint a room in eleven hours. Victoria can paint the same room in twelve hours. How long does it take for both Ethan and Victoria to paint the room if they are working together?

Click here to see answer by ptaylor(2048)

Question 246540: Solve: The Officejet printer can copy Lisa's dissertation in 22 min. The LaserJet printer can copy the same document in 16min. If the two machines work together, how long would they take to copy the dissertation?
Click here to see answer by ptaylor(2048)

Question 248089: If 5 chickens cluck 8 times in 10 minutes, how many times will one chicken cluck in one minute?
Click here to see answer by dabanfield(803)

Question 248197: Pls. help me
Romil can paint a fence in 4 hours, while Dina can do it in 5 hours. If the work together what part of the fence can they paint together in one hours? How long will it take them to finish painting the fence if they work together?
Click here to see answer by ankor@dixie-net.com(15622)

Question 248615: if it takes 4 men 12 days to dig a hole, how long would it take 6 men?
Click here to see answer by ptaylor(2048)

Question 248606: Trent can deliver his newspapers in 30 minutes. It takes Lois 20 minutes to do the same route. How long would it take them to deliver the newspapers if they work together?
Click here to see answer by ptaylor(2048)

Question 248813: A farmer working together with his son needs 3 hours to plow a field. The farmer working alone can plow the field in 4 hours. How long would it take the son working alone to plow the field?
I need the rate of work (R), the time of work (T) , and the work done (W)
the equation is RT = W.
It would help if I am provided a detailed explanation
Click here to see answer by edjones(7569)

Question 248759: Left on together, the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the cold water faucet 17 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own?
Click here to see answer by scott8148(6628)

Question 248814: One pipe can fill a tank in 20 minutes. A second pipe can fill the tank in 30 minutes. If the tank is empty, how long would be required for the two pipes operating together to fill it?

I need the rate of work (R), the time of work (T) , and the work done (W)
the equation is RT = W.
It would help if I am provided a detailed explanation
Click here to see answer by stanbon(57203)

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