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

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Question 1125846: when Jane's pool was new,it can be filled in 12 minutes with water from the hose. Now that the pool has several leaks,it takes only 8 minutes for all the water to leak out of a full pool.How long does it take to fill the leaky pool?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1125846: when Jane's pool was new,it can be filled in 12 minutes with water from the hose. Now that the pool has several leaks,it takes only 8 minutes for all the water to leak out of a full pool.How long does it take to fill the leaky pool?
Click here to see answer by MathTherapy(10549) About Me 

Question 1125786: If 6 masons and 8 helpers can do a construct a boundary wall in 10 days while 26
masons and 48 helpers can do the same in 2 days, what is the time taken by 15
masons and 20 helpers to do the same work?
a. 4 days
b. 5 days
c. 6 days
d. 7 days

Click here to see answer by ikleyn(52751) About Me 

Question 1125917: Alaska's Glacier Bay NAtional Park had 418,911 visitors in 2008. The park had 25,742 more visitors in 2009 than in 2008. How many people visited the park in 2008 and 2009 combined?
and my answer choices are
A. 862,564
B. 852,564
C. 863,564
D. 963,564

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1126097: In a group of 250 peoples 50 failed in mathematics 60 peoples failed in history and 70 peoples failed Geography 25 failed peoples failed mathematics and history and 28 peoples failed history and geography 32 failed mathematics and geography and 21 failed in all three subjects find the number of peoples who failed at least one subject?
Click here to see answer by ikleyn(52751) About Me 

Question 1126374: Bill and Will are brothers who are both taking graduate level art classes. To help pay off their student loans, they decide to sell watercolor replicas of Andy Warhol's art. To produce one piece of work, Bill takes 0.25 hours less than Will. Working together, it takes them 4 hours. Find the time it would take each of them if they worked individually. Round your answers to 2 decimal places.
Click here to see answer by josmiceli(19441) About Me 
Question 1126374: Bill and Will are brothers who are both taking graduate level art classes. To help pay off their student loans, they decide to sell watercolor replicas of Andy Warhol's art. To produce one piece of work, Bill takes 0.25 hours less than Will. Working together, it takes them 4 hours. Find the time it would take each of them if they worked individually. Round your answers to 2 decimal places.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1126374: Bill and Will are brothers who are both taking graduate level art classes. To help pay off their student loans, they decide to sell watercolor replicas of Andy Warhol's art. To produce one piece of work, Bill takes 0.25 hours less than Will. Working together, it takes them 4 hours. Find the time it would take each of them if they worked individually. Round your answers to 2 decimal places.
Click here to see answer by ikleyn(52751) About Me 

Question 1126489: A plumber tells you that he charges $40 just to show up and after that it is $80 per hour plus materials. Produce an algebraic formula to describe this situation.
Click here to see answer by ikleyn(52751) About Me 

Question 1126669: It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1126669: It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days?
Click here to see answer by greenestamps(13195) About Me 
Question 1126669: It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days?
Click here to see answer by ikleyn(52751) About Me 
Question 1126669: It took 6 people to paint several offices in 5 days. How many more people need to be hired to complete the same job in 3 days?
Click here to see answer by jayesh.nandhu(2) About Me 

Question 1126988: You can mow 1 acre of the city park in 20 minutes. Your friend can mow 1 acre of the park in 25 minutes.
Enter an equation that can be used to find the time in minutes, t, it would take you and your friend to mow 12 acres of the park if you work together.




Click here to see answer by MathLover1(20849) About Me 

Question 1126996: Danielle has 2 1/3 hours to work on her homework it takes or 1/6 of an hour to finish one problem how many problems can Daniel finish during this time
Click here to see answer by Boreal(15235) About Me 
Question 1126996: Danielle has 2 1/3 hours to work on her homework it takes or 1/6 of an hour to finish one problem how many problems can Daniel finish during this time
Click here to see answer by MathTherapy(10549) About Me 
Question 1126996: Danielle has 2 1/3 hours to work on her homework it takes or 1/6 of an hour to finish one problem how many problems can Daniel finish during this time
Click here to see answer by ikleyn(52751) About Me 

Question 1127109: One landscaper can till the soil for a lawn in 30 min, whereas a second landscaper needs only 15 min to do the same job. How long will it take to till the soil for the lawn with both landscapers working together?
Rate of work Time Worked Portion of work
Finished
1St
person 1/30 x w = w/30
2nd
person 1/15 x w = w/15
Would you add w/30 + w/15 = w/10?
Please help me find how long it would take both workers to complete the job together.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1127109: One landscaper can till the soil for a lawn in 30 min, whereas a second landscaper needs only 15 min to do the same job. How long will it take to till the soil for the lawn with both landscapers working together?
Rate of work Time Worked Portion of work
Finished
1St
person 1/30 x w = w/30
2nd
person 1/15 x w = w/15
Would you add w/30 + w/15 = w/10?
Please help me find how long it would take both workers to complete the job together.

Click here to see answer by MathTherapy(10549) About Me 
Question 1127109: One landscaper can till the soil for a lawn in 30 min, whereas a second landscaper needs only 15 min to do the same job. How long will it take to till the soil for the lawn with both landscapers working together?
Rate of work Time Worked Portion of work
Finished
1St
person 1/30 x w = w/30
2nd
person 1/15 x w = w/15
Would you add w/30 + w/15 = w/10?
Please help me find how long it would take both workers to complete the job together.

Click here to see answer by greenestamps(13195) About Me 

Question 1127301: Four employees washed 20 cars and five hours how long would it take for five employees to watch the same number vehicles
Click here to see answer by Boreal(15235) About Me 
Question 1127301: Four employees washed 20 cars and five hours how long would it take for five employees to watch the same number vehicles
Click here to see answer by greenestamps(13195) About Me 
Question 1127301: Four employees washed 20 cars and five hours how long would it take for five employees to watch the same number vehicles
Click here to see answer by josgarithmetic(39613) About Me 

Question 1127323: An office has two envelope-filling machines. Working together, they can fill a batch of envelopes in 2 hours. Working separately, it will take the second machine 1 hour longer than the first machine to fill a batch of envelopes. How long will it take each machine to fill a batch of envelopes by themselves? Give your answer correct to the nearest minute.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1127376: Brandon and his dad are painting the three bedrooms in their house. Each bedroom is the same size. Brandon painted the first bedroom by himself in six hours. His dad painted the second bedroom by himself in four hours. If the work together on the third bedroom, how long should it take?
A)if brandon can paint a whole bedroom in 6 hours, what fraction of the bedroom can he paint in one hour?
B) if his dad can paint a whole bedroom in 4 hours, what fraction of bedroom can he paint in one hour?
C)working together, what fraction of the bedroom can they paint in one hour?
D)how many hours will it take brandon and his dad to finish painting the third bedroom?
E) brandon has a brother, George, that can paint a bedroom by himself in eight hours. If George is helping too, how long will it take all three of them to paint the third bedroom?

Click here to see answer by ikleyn(52751) About Me 

Question 1127795: If 20 people can construct a house in 30 days, how many people needed to construct the same house in 5 days?

Click here to see answer by josgarithmetic(39613) About Me 
Question 1127795: If 20 people can construct a house in 30 days, how many people needed to construct the same house in 5 days?

Click here to see answer by ikleyn(52751) About Me 

Question 1127794: The ratio of the number of days it takes the first team to complete the project to the number of days it takes the second team to complete the project is 2:3. If together the two teams can finish the work in 6 days, how many days does it take each team to complete the project on their own?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1127793: Three pipes A, B and C take 24, 36 and 32 hours to fill a pool, respectively. How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?
Click here to see answer by ikleyn(52751) About Me 

Question 1127966: A rancher has 500 ft of fencing with which to build a rectangular corral alongside an existing fence. Determine the dimensions of the corral that will maximize the enclosed area.Be sure to define a variable and write an equation.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1128062: if thy work together mandla and geoge can paint a room in three- fifths of the time that it takes mandla to paint it by himself george takes 5 hours to paint the room by himself determine how long it takes mandla to paint the room by himself
Click here to see answer by htmentor(1343) About Me 

Question 1128194: Kelly earns $36 for 3 hours of work. At that rate, how long will she have to
work to earn $720?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1128292: Use the given information to answer the question.
The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute (rpm)) and the cube of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 40 hp at 110rpm, what must the diameter, d, be in order to transmit 60 hp at 150 rpm? (Round your answer to two decimal places.)

My work so far have been:
hp = k*rpm*d^3
40= k*110*27
k = 40/2970= 0.01
60= 0.01*150*d^3 = 1.5d^3
d^3 = 60/1.5
* here I don’t know how exactly to divide ^3 into 60/15. My answer keep being 13.3333333.

Click here to see answer by josmiceli(19441) About Me 

Question 753185: It take 6 men 24 days to build a wall. How many days will it take 8 men to build the same wall.

Click here to see answer by jayesh.nandhu(2) About Me 

Question 1128630: Use the given information to answer the question.
The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions per minute (rpm)) and the cube of the diameter. If the shaft of a certain material 3 inches in diameter can transmit 40 hp at 110rpm, what must the diameter, d, be in order to transmit 60 hp at 150 rpm? (Round your answer to two decimal places.)
My work so far have been:
hp = k*rpm*d^3
40= k*110*27
k = 40/2970= 0.01
60= 0.01*150*d^3 = 1.5d^3
d^3 = 60/1.5
* Before my answer kept being 13.3333333. Afterwards another tutor demonstrated a way to solve the equation and his answer was 3.41 inches. However, that answer was still tagged incorrect. Is there as step missing that I'm missing? Thanks.

Click here to see answer by MathLover1(20849) About Me 

Question 1128731: You and your sibling decide to mow the grass for your parents. You take the riding mower, while your sibling uses the push mower. You can mow 3.5 hours faster than your sibling. Together you both get done within 2 3/4hours. How long would it take each of you working alone?
Click here to see answer by josmiceli(19441) About Me 
Question 1128731: You and your sibling decide to mow the grass for your parents. You take the riding mower, while your sibling uses the push mower. You can mow 3.5 hours faster than your sibling. Together you both get done within 2 3/4hours. How long would it take each of you working alone?
Click here to see answer by MathTherapy(10549) About Me 

Question 1129099: It takes the hot water faucet 4 times as long to fill a bathtub as it does the cold water faucet. Left on together, the cold and hot water faucets take 3 minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1129099: It takes the hot water faucet 4 times as long to fill a bathtub as it does the cold water faucet. Left on together, the cold and hot water faucets take 3 minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself?
Click here to see answer by greenestamps(13195) About Me 
Question 1129099: It takes the hot water faucet 4 times as long to fill a bathtub as it does the cold water faucet. Left on together, the cold and hot water faucets take 3 minutes to fill the tub. How long will it take the cold water faucet to fill the tub by itself?
Click here to see answer by ikleyn(52751) About Me 

Question 1129094: Working together, it takes two different sized hoses 35 minutes to fill a small swimming pool. If it takes
55 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
do not do any rounding.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1129103: A new type of pump can drain a certain pool in 9 hours. An older pump can drain the pool in 11 hours. How long will it take both pumps working together to drain the pool?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1129103: A new type of pump can drain a certain pool in 9 hours. An older pump can drain the pool in 11 hours. How long will it take both pumps working together to drain the pool?
Click here to see answer by MathTherapy(10549) About Me 

Question 1129107: Working together, it takes two computers 20 minutes to send out a company's email. If it takes the slower computer 45 minutes to do the job on its own, how long will it take the faster computer to do the job on its own?
Click here to see answer by greenestamps(13195) About Me 

Question 1129109: 3 men and 5 women do a piece of work in 9 days and 2 men and 7 children do the same in 6 days. how many women can do as much work as 21 children ?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910