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 187064: The time required to fill a pool with a water hose is 30 hours. Using a pump the pool can be filled in 10 hours. How long will it take to fill the pool using a pump and 2 hoses?
In the pool problem above how long would it take to fill the pool if the drain, which could drain the pool in 15 hours, is left open?
I have the first part figured out but I am struggling with the second part. If you could just set up the table for me that would be great! Thanks!
Click here to see answer by ankor@dixie-net.com(15747)

Question 188003: CAN ANYONE HELP WITH THIS PROBLEM ... I AM SO STUCK!! THANKS
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start.
Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation using the axes below.

Click here to see answer by solver91311(17077)

Question 188348: Suppose that Arlene can mow the entire lawn in 40 minutes less time with the power mower than she can with the push mower. One day the power mower broke down after she had been mowing for 30 minutes. She finished the lawn with the push mower in 20 minutes. How long does it take Arlene to mow the entire lawn with the power mower?
Click here to see answer by ankor@dixie-net.com(15747)

Question 188347: It takes Terry 2 hours longer to do a certain job than it takes Tom. They worked together for 3 hours; then Tom left and Terry finished the job in 1 hour. How long would it take each of them to do the job alone.
thanks,
I will be able to solve it once I know how to set it up.
Click here to see answer by ankor@dixie-net.com(15747)

Question 188377: It takes Ted 20 minutes to paint a wall. Burt can paint the same wall in 30 minutes. How long will it take for the two of them to do the job together?
Click here to see answer by jojo14344(1512)

Question 188460: Flying with the wind, a pilot flew 800 km between two cities in 4 hours. The return trip against the wind required 5 hours. Find:
a) The rate of the plane in calm air and,
b) The rate of the wind
Click here to see answer by checkley77(12569)

Question 188493: A student did a word processing job for $24. It took him 1 hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job?
thanks
Click here to see answer by Mathtut(3670)

Question 188565: A business report for a company can be printed in 55 minutes by one machine. A second machine can print the report in 66 minutes. How long will it take to print the report with both machines operating?
Click here to see answer by jojo14344(1512)

Question 188567: A new high-speed copier works three times as fast as a regular copier. When both copiers are used, they can copy a group of documents in 12 minutes. How long would each copier require to do the copying alone?
Click here to see answer by jojo14344(1512)

Question 188566: A business report for a company can be printed in 55 minutes by one machine. A second machine can print the report in 66 minutes. How long will it take to print the report with both machines operating?
Click here to see answer by jojo14344(1512)

Question 188564: Kim can mow the greens at the golf course twice as fast as I can. Working together, we can mow them in four hours. How long will it take me to mow the greens alone?
Click here to see answer by jojo14344(1512)

Question 188603: Mike can assemble a computer table in 40 minutes and I can do it in 60 minutes. If Mike works for 20 minutes before I join him, how long will it take us to finish?
Click here to see answer by ptaylor(2052)

Question 188568: Mike can assemble a computer table in 40 minutes and I can do it in 60 minutes. If Mike works for 20 minutes before I join him, how long will it take us to finish?
Click here to see answer by ankor@dixie-net.com(15747)

Question 188926: Bill can paint a room in 8 hours. Working together with Ed, they can paint the room in 6 hours. How long would t take ed to paint the room by himself?
Click here to see answer by Alan3354(31538)

Question 189290: Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
Click here to see answer by jonvaliente(64)

Question 189389: Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank
Click here to see answer by ankor@dixie-net.com(15747)

Question 189821: The radiator in a certain make of car needs to contain 30 liters of 40% antifreeze. The radiator now contains 30 liters of 20% antifreeze. How many liters of this solution must be drained and replaced with 100% antifreeeze to get the desired strength?
Click here to see answer by ankor@dixie-net.com(15747)

Question 190513: When all of the white mice escape from the pet store it takes Jim 12 minutes to round them up and return them. Bob works slower than Jim and it takes him 18 minutes to do the same task. How many minutes would it take to return all of the mice if they both worked together?
Click here to see answer by jonvaliente(64)

Question 190573: Two positive numbers differ by 11, and their square roots differ by 1. Find the numbers
Click here to see answer by Alan3354(31538)

Question 190574: Two positive numbers differ by 5 and their square roots differ by 1. Find the numbers
Click here to see answer by Alan3354(31538)

Question 190901: John can type 2/3 manuscript in 12 hours. With Laura's help they can complete the typing in 2 hours. How many hours would Laura take to type the manuscript working alone?
Click here to see answer by nerdybill(7012)

Question 191435: A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice to help, the job takes 40 minutes. How long would it take the apprentice working alone to install the dishwasher?
Click here to see answer by stanbon(57984)

Question 191641: A large pump can filla 77,000 gallon reservoir in 7 hours. Working together, the large pump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?
Click here to see answer by orca(409)

Question 191642: Andrea can rake her Dad's yard in 45 minutes. Andrea's brother Bradford rakes one and one-half times faster than Andrea. How long would it take them to rake their Dad's yard together?
Click here to see answer by ptaylor(2052)

Question 192527: There are two dock workers, Alf and Bob. Alf can load 16 tons of steel per day, and Bob can load 20 tons per day. If they each work 8-hour days, how many tons of steel can the two of them load in one hour, assuming they maintain a steady rate?
I tried to apply the formula, 1/t1+1/t2=1/t3. With t1 being the time taken by the 1st person, t2 the second and t3 the time it takes both to complete the job.
Click here to see answer by nerdybill(7012)

Question 192849: A new virus is released on the internet; the administrator of a department's Local Area Network (LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PCs connected to the LAN and finds that 7 are infected. Use a proportion to estimate the number of infected PCs if there are a total of 216 PCs connected to the LAN.
Click here to see answer by stanbon(57984)

Question 192860: Working alone, Colleen can paint a house in 2 hr. less than James. Working together, they can paint the house in 8 hours. How long would it take James to paint the house by himself?
Click here to see answer by stanbon(57984)

Question 194236: a mason can build a wall in 6 hours less than an apprentice. working together they can build a wall in 4 hours. how long would it take the apprentice working alone?
so far i have 1/x + 1/x-6 = 1/4. i think my next step is the find the lcm/lcd but that is where i am having problems.
Click here to see answer by scott8148(6628)

Question 194440: CAN SOMEONE PLEASE HELP ME WITH THIS ONE???
I need to drain a pool. I know one pump can drain the pool in 8min and if I use a second pump I can drain the pool in 4min. The problem is the first pump is being used so I can only use the second pump. So I need to know how long it will take me to drain the pool using only the second pump?
I've tried a few different ways to solve this and nothing comes up right..Thank you, thank you, thank you...
Click here to see answer by ankor@dixie-net.com(15747)

Question 194760: A team of 25 engineer were to build a fence, they could complete the job in 8 days. 2 days into the job, 7 engineers quit, the remaining 18 engineers had to finish the job by themselves. How long will it take the remaining 18 engineers to complete the fence?
Click here to see answer by edjones(7569)

Question 195250: If 6 workers can complete 9 identical jobs in 3 days, how long will it take 4 workers to complete 10 jobs?
Click here to see answer by solver91311(17077)

Question 195255: One computer technician can wire a modem in 4 h. A second technician requires 6 h to do the same job. After working alone for 2 h, the first technician quits. How long will it take the second technician to complete the wiring?
Click here to see answer by solver91311(17077)

Question 196170: write an inequality sentence: Craig's earnings at $12 per hour were more than $240.
Click here to see answer by stanbon(57984)

Question 196252: You have 8 machines that take six days to complete a job , how many machines does it take to complete that job in 1.5 days?
Click here to see answer by stanbon(57984)

Question 196396: mary travels 45 miles up stream in 3 hours and travels 100 miles downstream in 4 hours. find the average speed of the boat in still water and the average speed of the current?
Click here to see answer by nerdybill(7012)

Question 196518: A computer can process a company's payroll checks in 4 hours. A second computer, twice as fast is available. When the smaller computer has worked for 2 hours, the second faster machine is put on line. How much longer did it take the two machines working together to finish the payroll?
My equation: 1/4 + 2(1/4)=1/t/2
I not sure how to represent the fact the first machine has already completed half of the work.
Combined the two computers can complete 3/4 of the work per hour
the first computer worked for 2hours completing 1/2 of work

Click here to see answer by scott8148(6628)

Question 196608: Q. Bill and James can do together a piece of work in 30 days. James alone can finish the work in 60 days, both began the work together but Bill left 3 days before the completion of the work. how long will it take to finish the work.?
Click here to see answer by ankor@dixie-net.com(15747)

Question 196985: Hi there, I have been trying to tackle this homework question for a long time, it would be amazing if someone could help me with it. Thank you :)
Santiago is walking to school, which is straight down the road 500m from his home. He starts out by walking at 2m/s for 2 minutes until he gets to a stop light. He waits 30 seconds and then realizes that he has left an important essay at the front door, so he runs home at 5m/s. He had forgotten his keys, so he bangs on the door for 3 minutes until his brother Tomas answers. He grabs his essay and runs to school without stopping at 4m/s, arriving just as the warning bell rings.
Provide an equation for each situation and then using appropriate scales, draw thr graph that represents Santiago's journey. Include all equations and time intervals. (7 marks: 1 mark per equation and 2 marks for the graph)
Note: If you could help me with the equations, I could graph them myself. Thank you again in advance.
Click here to see answer by stanbon(57984)

Question 198134: I have a real problem with word problems; would someone please help me with this one? Thank you.
Kevin runs 4 miles in 45 minutes. At the same rate, how many miles would he run in 72 minutes?

Click here to see answer by vleith(2825)

Question 197718: Paolina has is an artist that can create 18 math paintings per day. Someone is willing to pay Paolina $35/ paints plus $1000 bonus.
a)Find an algebraic expression that relates the number of paintings Paolina paints to the number of days she paints.
b)Find and algebraic expression that relates the revenues based on the number of paintings sold.
c)Create a composite function that relates the number of days Paolina paints with the revenue she can generate.
d)How much will Paolina make if she paints for 5 days?

Click here to see answer by arallie(162)

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