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 76431: To empty their swimming pool, the Johnsons decided to use the regular drain and pump. If it takes 15 hours for the pool to empty using the drain alone and 7 hours for the pool to empty using the pump alone, how long will it take for the pool to empty using both the drain and the pump?
? hours
(round to the nearest0.1)
Click here to see answer by bucky(2189)

Question 76967: Sam can run m miles per minute how far can he run in twenty mintues
Click here to see answer by checkley75(3666)

Question 77182: I can't seem to get this one started. Please help.
Kathy can paint a house in 15 hours. With Jane's help it takes only 6 hours. How long would it take Jane by herself?
Click here to see answer by rajagopalan(158)

Question 77429: If the cold-water faucetis left on, the sink will fill in 10 min. If the hot-water faucetis left on, the sink will fill in 12 min. How long would it take the sink to fill if both faucetes are left on?
Click here to see answer by ptaylor(2052)

Question 77449: 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 accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by ptaylor(2052)

Question 77719: Lea can groom the horses in her boarding stable in 5 hr, while Tran needs 4 hr. How long will it take them to groom the horses if they work together?
Click here to see answer by stanbon(57967)

Question 77967: Together, Carmen and Jay can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 times faster than Jay. Find the time that each person takes to prepare a catered dinner.
Click here to see answer by checkley75(3666)

Question 78254: A painter works on a job for 10 days and then is joined by a helper. Together they finish the job in 6 more days. The helper could have done the job alone in 30 days. How long would have taken the painter have taken to do the job alone.

Click here to see answer by ankor@dixie-net.com(15746)

Question 78502: It takes me 3 hours to prepare a special dinner in class, when it only took my husband 2 hours. How long will it take for them both to finish the cooking class? Answer should be rounded to the one decimal. Must be shown in a rational equation
Click here to see answer by Edwin McCravy(8999)

Question 78637: A mason can lay the bricks in a sidewalk in 12 hours. The mason's apprentice requires 16 hours to do the same job. After working together for 4 hours, the mason leaves for another job and the apprentice continues working. How long will it take the apprentice to complete the job?
Click here to see answer by stanbon(57967)

Question 80303: This was from standardized test (ASSET):
Tractors A,B, C & D are equipped identically. Together A,B & C can plow 180 acres in 2 hrs. How many acres can all 4 (A, B, C & D) plow in 3 hrs?
Click here to see answer by ankor@dixie-net.com(15746)

Question 80330: Mike can paint a wall in three hours. Angelo can paint the same wall in two hours. How long will it take if they work together?
Click here to see answer by checkley75(3666)

Question 81406: Can anyone please help me with this problem?
Two motorcycles each make the same 220 mile trip, but one travels 5 mph faster than the other. Find the rates of each motorcycle, if the slower one takes 24 minutes longer to complete the trip than the faster one. Show set-up, and equation work.
Thanks.
Click here to see answer by scott8148(6628)

Question 81772: Printing press A can print an order in 7hours. If printing press B is used along with press A, the job can be completed in 5hr. How long would it take printing press B to print the job by itself?
Click here to see answer by Edwin McCravy(8999)

Question 82518: if peter done his work for 4 hours and john done in 2 hours.what would be the rate
of their work.what would be the time to finish their work.
Click here to see answer by checkley75(3666)

Question 82938: Fout tractors working together can plow a field in 12hrs.How long will it take six tractors to plow a field of the same size if all tractors work at same rate?
Click here to see answer by ptaylor(2052)

Question 82986: a mechanic requires 2 h to repair a tranmission, whereas an apprentice requires 6 h to make the same repairs. the mechanic worker alone for 1 h and then stopped. how long will it take the apprentice. working alone. to complete the repair?
Click here to see answer by Edwin McCravy(8999)

Question 82985: working together; two dock worker can load a crate in 6 min. one dock worker; working alone, canload the crate in 15 min, how long would it take the second dock worker; working alone, to load the crate?
Click here to see answer by checkley75(3666)

Question 82982: one grocery clerk can stock a shelf in 20min whereas a second clerk reguires 30min to stock the same shelf. how long would it take to stock the shelf if two clerks worked together?
Click here to see answer by ankor@dixie-net.com(15746)

Question 82983: An experienced painter can paint a fence twice as fast as an inexperienced painter: working together; the painters require 4 h to paint the fence. how long would it take the experienced painter; working alone to paint the fence?
Click here to see answer by scott8148(6628)

Question 83075: A mechanic requires 2 h to repair a trasmission. Whearas an apprentice requires 6 h to make the same repairs. The mechanic worked alone for 1 h and then stopped. How long will it take the apprentice, working alone, to complete the repairs?
Click here to see answer by checkley75(3666)

Question 83076: The president of a company traveled 1800 mi by jet and 300 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took a total of 5 h. Find the rate of the jet plane.
Click here to see answer by stanbon(57967)

Question 83077: An express train travels 600 mi in the same amount of time it takes a freight train to travel 360 mi. The rate of the express train is 20 mph faster than that of the freight train. Find the rate of each train.
Click here to see answer by checkley75(3666)

Question 83079: A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane to fly 600 mi. The rate of the twin-engine plane is 50 mph faster than that of the single-engine plane. Fine the rate of the twin-engine plane.
Click here to see answer by stanbon(57967)

Question 82989: the bird capable of the fastest flying speed is the swift. a swift flying with the wind to a fovorite feeding spot traveled 26 mi in 0.2 h. on returning now aganst the wind. the swift was able to travel only 16 mi in the same amount of time. what is the rate of the swift in clam air and what was the rate of wind?
Click here to see answer by stanbon(57967)

Question 83093: Three-fifths of a number is greater than two-thirds. Find the smallest integer that satisfies this inequality.
Click here to see answer by chitra(359)

Question 83089: An investor owned 300 shares of an oil company an 200 shares of a movie company. The quarterly dividend from the two stocks was $165. After the investor sold 100 shares of the oil company and bought an additional 100 shares of the movie company, the quarterly dividend became $185. Find the dividend per share for each stock.
Click here to see answer by bucky(2189)

Question 83090: A pastry chef created a 50-ounce sugar solution that was 34% sugar from a 20% sugar solution and a 40% sugar solution. How much of the 20% sugar solution and how much of the 40% sugar solution were used?
Click here to see answer by ankor@dixie-net.com(15746)

Question 83082: Rowing with the current of a river, a rowing team can row 25 mi in the same amount of time it takes to row 15 mi against the current. The rate of the rowing team in calm water is 20 mph. Find the rate of the current.
Click here to see answer by ankor@dixie-net.com(15746)

Question 82992: a coumputer online service charges one hourly price for regular use but a higher hourly rate for designated " permium" areas. one customer was charged $28 after spending 2 h in permium areas and 9 regular hours another spent 3 h in the permium areas and 6 regular hours and was charged $27. what does the online service charge per hour for regulae and premium service?
Click here to see answer by ankor@dixie-net.com(15746)

Question 83611: A pipe ca fill a pool in 9 hours. The drain can empty the pool in 12 hours. I f the drain pipe is left open, how long will it take to fill the pool?
Click here to see answer by dolly(163)

Question 83706: Solve and show work.
Sue can sew a precut dress in 3 hours. Helen can sew the same dress in 2 hours. If they work together, how long will it take them to complete sewing that dress? Give your answer rounded to one decimal place, if necessary.
Click here to see answer by funmath(2925)

Question 83999: I have tried this problem and cannot seem to get an answer for it! Please help me!!! Here it is:
A garden with an area of 105 square meters is surrounded by a sidewalk of uniform width. The sidewalk and garden together are 19 meters long and 11 meters wide. How wide is the sidewalk?
A: 1 meter B: 2 meters C: 1.5 meters D: 0.5 meters
I did:
19 x 11 = 209
209-105 = 104
... I don't know what to do from there!

Click here to see answer by scott8148(6628)

Question 84901: Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?
Click here to see answer by scott8148(6628)

Question 85254: Hi,

I need help with this word problem:

A factory has an order for 23,500 paper clips. Machine A can make 1500 paper clips per hour while Machine B can make 2500 paper clips per hour. Machine A starts at 8:00am and Machine B starts work at 1:00pm. At what time will the two machines complete the job?

Thank you!!!
Click here to see answer by ptaylor(2052)

Question 85901: 1. Kristen could shovel a large parking lot after a 12" snowfall in 5 hours. It would take Bob 8 hours to shovel the same driveway. How long would it take them if they worked on the jon together? Answer to the nearest minute. If Lisa helps them they can do the lot in one hour. How long would it take Lisa to complete the job?

2. A painting job can be completed by 7 painters in 17 days. If 14 more painters join the team 8 days after starting the job, then how many more days are required to complete the job?
Click here to see answer by 303795(595)

Question 86091: If Sally can paint a house in 4 hours, and Tom can paint it in 6 hours, How long will it take them to paint it together?
Click here to see answer by Earlsdon(6294)

Question 86544: It takes Peter 15 minutes longer than Charles to mow the lawn by himself. Together, they can mow the lawn in 18 minutes. How long will it take Charles to mow the lawn by himself?
Click here to see answer by ankor@dixie-net.com(15746)

Question 87376: Betty and Karen have been hired to paint the houses in a development. Working together the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 6 hours to paint a house alone. How long does it take Karen to paint a house working alone?

Click here to see answer by checkley75(3666)

Question 87388: 1. Savannah can paint a room in seven hours. Jordan can paint the same room in nine hours. How long does it take for both Savannah and Jordan to paint the room if they are working together?
2. It takes Shelby 2 hours and 3 minutes to cut the grass. Abigail needs 3 hours and 46 minutes to cut the grass. If they work together, how long will it take them to cut the grass?
thank you for advance

Click here to see answer by stanbon(57967)

Question 88006: When Monique rented a boat to a cruise on the Sandy River, she was told that the boat takes 1.5 times as long to go 360 miles up a river than to return. If the boat cruises at 15 miles per hour in still water, what is the rate of the current?
Click here to see answer by uma(370)

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