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

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Word Problems: Rate of work, PAINTING, Pool Filling

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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 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(6693)

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 Alan3354(6097)

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(7072)

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 solver91311(5072)

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(6693)

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(6693)

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(675)

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(7072)

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(675)

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(7072)

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(76)

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(5072)

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(3385)

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(26297)

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(7072)

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(260)

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(2448)

Question 234049: three machines A , B and C take 3 hours to do a job, when working together. Suppose A and B are identical and that C working alone can complete the entire job in 12 hrs. How long would it take A working alone to do the job?
a)4 hrs b) 8 hrs c)10 hrs d)12 hrs e) None of these

Click here to see answer by ankor@dixie-net.com(6693)

Question 234005: if 2 people can paint a fence in 12 hours how long does it take 3 people each working at the same rate? i know how to do it but i want to know what is the fast way of doing it? can you show me the fast way
Click here to see answer by scott8148(3385)

Question 234006: if 2 people can paint a fence in 12 hours how long does it take 3 people each working at the same rate? i know how to do it but i want to know what is the fast way of doing it? can you show me the fast way
Click here to see answer by scott8148(3385)

Question 233890: Andrew can lay carpet in a house in ten hours. If Mary helps him, they can get the carpet down in six hours. What is the number of hours it takes Mary to do the job by herself.
Click here to see answer by nerdybill(2448)

Question 233456: If 6 men can do a job in 4 hours, how many hours will it take 8 men to do it-and why?
Click here to see answer by Alan3354(6097)

Question 232493: if patty can paint a house in 4 hours and jimmy can paint the same house in 6 hours how long wouls it take to paint the house together? please someone help i havent been in school for a long time and i have forgotten everything. Jenn
Click here to see answer by Alan3354(6097)

Question 232419: Can someone please walk me through these?
a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?
____ minutes
b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?
____ hours
Thank you,
John
Click here to see answer by stanbon(26297)

Question 232420: Can someone please walk me through this?
In 1 hours, a secretary can address 100 envelopes. Another secretary can address 100 envelopes in 10 hours. How long would it take the secretaries, working together, to address 300 envelopes? (Hint: Think of addressing 300 envelopes as three 100-envelope jobs.)
____ hours
Thank you,
Alan
Click here to see answer by Alan3354(6097)

Question 232146: Pump A can fill a water jar two times faster than Pump B. Working together, the two pumps fill water jars in five hours. How long does it take for each pump to fill a water jar individually?
I don't know how to solve, or the equations I would need.
Click here to see answer by solver91311(5072)

Question 230986: One pump can drain a pool in 11 minutes. When a second pump is also used, the pool only takes 6 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 ankor@dixie-net.com(6693)

Question 231075: It takes 10 hours to fill a pool with water, and 20 hours to drain it. If the pool is empty and the drain is open, how long will it take to fill the pool?
Click here to see answer by stanbon(26297)

Question 230944: (7.7 #15)
Can someone please help me with this?
It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?
Thank you,
Daniel
Click here to see answer by josmiceli(3013)

Question 230679: a water tank has an inlet pipe and a drain pipe. a full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidently openedwhen the tank is full, then how long will it take to empty the tank?
Click here to see answer by ankor@dixie-net.com(6693)

Question 229522: Tim can fill the pool in 30 minutes, Sally fills pool in 45 minutes and bob fills the pool in 90 minutes. How long will it take for them to fill the pool if they work together?
Click here to see answer by edjones(3299)

Question 228633: In testing the rate at which a polluted stream flows, a boat that travels 5.5mi/hr in still water took 5 hrs to go down stream and 8 hrs to go upstream, between 2 points. what is the rate of flow of the stream
Click here to see answer by ankor@dixie-net.com(6693)

Question 228093: Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered. What was the speed of each cyclist?
Click here to see answer by ankor@dixie-net.com(6693)

Question 228210: A farmer milking his cows in cows in 2/3 of an hour, and his son can do the job in 1 hour. How long will it take them to milk the cow together?
Pleaswe provide a detailed explanantion of the steps to be taken in problems like this...
Click here to see answer by ankor@dixie-net.com(6693)

Question 228212: A farmer working with his son needs 3 hours to plow a field. The farmer working alone can plow the field in 12 hours. How long would it take the son working alone to plow the field?
Please provide a detailed explanation of the steps taken in a problem like this. Thank You
Click here to see answer by stanbon(26297)

Question 228190: If Jim and Tom can do a job together in 3.5 hours, and Jim can do the job alone in 4 hours. How long toes it take Tom to do the job alone?
Click here to see answer by ankor@dixie-net.com(6693)

Question 227749: A picture 8 inches long and 6 inches wide is to be enlarged so that its length will be 12 inches. What is the width in inches, of the enlarged picture?
a.6
b. 3
c. 2
4. 8
5.9
Click here to see answer by drj(1380)

Question 226895: Tom and Jack paint a house. Working together they can paint the house in 2/3 of the time it takes Tom. Jack takes 6 hours to paint alone. How long does it take Tom to paint alone>?
Click here to see answer by ankor@dixie-net.com(6693)

Question 227019: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. how quickly can all three fill the pool together?
Click here to see answer by nerdybill(2448)

Question 225673: Hi,
I am having trouble figuring out how to solve this word problem.
Sam fixes a car in 2 days, alex fixes a car in 4 days, and john fixes a car in 6 days. If all three work together to fix the car, how long will it take?
Click here to see answer by scott8148(3385)

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