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

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Question 110853: If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
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Question 110855: If the value of x and y in the following fraction are both tripled, how does the value of the fraction change?
XZ
Y

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Question 111854: It takes Brad 2 hours to mow his lawn. It takes Gail 3 hours to mow the same lawn. How long will it take them to mow the lawn if they do the job together?
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Question 112135: One pump can fill a water tank in 25 minutes. Another pump can fill the same tank in 50 minutes. If the first pump is open for 5 minutes before the second is opened, how long will it take to fill the tank?
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Question 112133: Mercy can prepare a manuscript in 6 hours. Eunice can prepare it in 4 hours. How Long would it take them to preapre the manuscript together?
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Question 112134: One pump can fill a water tank in 25 minutes. Another pump can fill the same tank in 50 minutes. If the first pump is open for 5 minutes before the second is opened, how long will it take to fill the tank?
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Question 112232: Find each rate
240 pounds of fertilizer
________________________
6 lawns

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Question 112967: Two Pipes can be used to fill a pool. Working together the two pipes can fill the pool in four hours. The larger pipe can fill the pool in four hours less time that then smaller pipe can alone. Find the time to the nearest tenth of an hour it takes for the smaller pipe working alone to fill the pool.
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Question 113068: zach worked 5.5 hours on monday, 4.25 hours on Tuesday, and 5.7 hours on wed. Find the average of hours Zach worked for those days
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Question 113308: alone. How long would it take each of them to paint the house alone?A man and his son working together can paint their house in 4 days. The man can do the job alone in 6 days less than it takes the son
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Question 113310: Sam's annual interest from an investment iss 225. If Sam had invested $600 more at an annual interest rate that was 1% less, the annual interest would have been $234. What are the amount and rate of his actual investment?

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Question 113310: Sam's annual interest from an investment iss 225. If Sam had invested $600 more at an annual interest rate that was 1% less, the annual interest would have been $234. What are the amount and rate of his actual investment?

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Question 113312: Please help. I am not sure what topic to place the question under I have tried several topics with no results.
A small firm produces both AM and AM/FM car radios.
The AM radios take 15 h to produce, and the AM/FM radios take 20 h.
The number of production hours is limited to 300 h per week.
The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week.
Write a system of inequalities representing this situation.
Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
Thanks
JMS

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Question 113309: A salesperson finds that her sales average 40 cases per store when she visits 20 stores per week. For every two additional stores she visits per week, the average sales per store decrease by one case. How many stores should she visit each week if she wants to maximize her total sales?

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Question 113478: can you help me?
1.an older computer unit requires 12min more to print a company's payroll than does a newer computer unit. used together the computers can print the payroll in 8 min. find the time the new computer unit, used alone, will require to print the payroll.
2.working together. Dan and Leah can mow a lawn in 1 h and 12 min. Working alone, Leah can mow the lawn in 1 h less time than it would take Dan. Find the time it takes for each of them, working on his/her own, to mow the lawn.
i hope you can help me..
god bless..

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Question 113477: can you help me?
1.an older computer unit requires 12min more to print a company's payroll than does a newer computer unit. used together the computers can print the payroll in 8 min. find the time the new computer unit, used alone, will require to print the payroll.
2.working together. Dan and Leah can mow a lawn in 1 h and 12 min. Working alone, Leah can mow the lawn in 1 h less time than it would take Dan. Find the time it takes for each of them, working on his/her own, to mow the lawn.
i hope you can help me..
god bless..

Click here to see answer by scott8148(6628) About Me 

Question 113996: 88. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5
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Question 114132: Please help with the problem below. I already know how to create the graph.
What I need is to know step by step information on how to shade the particular area called for in the problem. I need help please.
I entered the following information to create the graph
x=4, x=18, y=3, y=18, y=(-3/4)x+15 and y=-x+18
This is how the problem reads.
Draw the appropriate graph for the following.
A small firm produces both AM and AM/FM car radios.
The AM radios take 15 h to produce, and the AM/FM radios take 20 h.
The number of production hours is limited to 300 h per week.
The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week.
Write a system of inequalities representing this situation.
Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.
Thanks
JMS

Click here to see answer by stanbon(75887) About Me 

Question 114273: 1. define a variable and write an equation to model each situation. then solve.
the rate to rent a certain truck is $55 per day and 20 cents per mile. your family pays $80 to rent this truck for one day. how many miles did your family drive?
2. 9j+3=3[3j+1]
3. 1 over four[k-1]=10
4. 5n+1/over 8=1/2

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Question 115368: Help please !
Winston can mow his dads lawn in 1 hour less than it takes his brother willie. If they take 2 hours to mow it when working together, than how long would if take winston working alone.

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Question 115432: If someone could please help me with this problem that would be great.
Working alone Shana can rake the leaves in the yard in 4-1/2 hrs, while it takes John only 3 hrs to do the same task. How fast can they rake the leaves if they work together if they both work at their original rates?

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Question 116908: Betty and Frank, working together can paint the exterior of a house in 3 days. Frank, by himself can complete the job in 8 days less than Betty. How long will it take Betty to complete the job by herself?
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Question 116939: Good afternoon ma'am or sir Will you please help me in solving this problem:
1). Using pipe A, a pool, can be filled with water in 6 hours. Pipe bcan drain the pool in 12 hours. If both pipes were accidentally left open, how long would it take to fill the pool?
Thank you ma'am or sir for your generosity in solving my problem.

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Question 116938: Good afternoon ma'am or sir. Will you please help me in solving this worded problems:
1). Ryoma can painttheir house 7 1/2 days, however Sakuno helped him and together they were able to do the painting in just 4 days. If Sakuno work alone how many days would it take to paint the whole house?
2).A pipe can fill the pool in 6 hours. A small pipe can fill the pool in 8 hours. The pool will be empty within 12 hours. How long would it take to fill the pool if both filling pipe and draining pipe are both open?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 116938: Good afternoon ma'am or sir. Will you please help me in solving this worded problems:
1). Ryoma can painttheir house 7 1/2 days, however Sakuno helped him and together they were able to do the painting in just 4 days. If Sakuno work alone how many days would it take to paint the whole house?
2).A pipe can fill the pool in 6 hours. A small pipe can fill the pool in 8 hours. The pool will be empty within 12 hours. How long would it take to fill the pool if both filling pipe and draining pipe are both open?

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Question 118234: 15 scientists working 6 hrs. a day can make a big machinery in 20 days. In how many days 5 scientists make that machinery working 12 hrs. a day?
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Question 118621: A square sheet of Aluminum is placed in the hot sun. It begins to expand very slowly so that its diagonal is increasing at the rate of 1 milimeter per minute. At the moment that the diagonal is 100 milimeters, at what rate is the area increasing?
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Question 118607: Sam drove a distance of of 410 miles in 7 hours. for the first part of the trip, his average speed was 40 mph and for the remainder of the trip, his average speed was 60 mph. how long did he travel at each speed?
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Question 118771: A tank can be filled by one inlet pipe in 15 minutes. It takes an outlet pipe 75 minutes to DRAIN the tank. If the outlet pipe is left open, how long will it take to fill the tank?

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Question 118864: A set of staircases grows at a certain rate.If the rule to find out how many blocks are needed total to make a staircase with n number of steps is (n) (n)/2+1/2n=y then what is the rule to find out the number of steps in the staircase if y is given?
ex.n(n)/2+1/2n=105 (solve for n)

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Question 119290: Julius can paint a house three times faster than Ruben. working together, they can paint a house in 4 days. how long would it take the faster painter if he works alone?
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Question 119287: Ed can do a job in 4 days. when ed and maymay work together, it would take them 2 and 1/3 days. How long would the job take maymay to do it alone?
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Question 119289: a cold water faucet could fill a sink in 15 minutes, and a hot water faucet can fill it in 12 minutes. the drain can empty the sink in 25 minutes. if both faucets are on and the drain is open, how long will it take to fill the sink?
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Question 119289: a cold water faucet could fill a sink in 15 minutes, and a hot water faucet can fill it in 12 minutes. the drain can empty the sink in 25 minutes. if both faucets are on and the drain is open, how long will it take to fill the sink?
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Question 119789: Julianne and Angel are having a party. It would take Angel 6 hours to call everyone she wants to invite. If Julianne helps, it will take only 4 hours. How long woule it take only Julianne to invite everyone?
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Question 120000: One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open?
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Question 121068: Please help me with this word problem:
Write an equation and solve. Aaron and Karen are agruing over who should clean the house. Aaron can clean the whole house in 12 hours. It takes Karen 6 hours to clean the same house. If they both clean the house, starting at opposite ends, how long will it take for the house to be cleaned?

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Question 121005: joe can paint all the rooms of a house in 20 hours it takes ross 60 hours to do the same thing. How long would it iake them if they worked together?
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Question 121396: A consulting engineer's time is billed at $100 per hour, and her assistant's is billed at $20 per hour. A customer received a bill for $1200 for a certain job. If the assistant worked 3 hours less than the engineer, how much time did each bill on the job?
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Question 121664: Mary takes 3 hours to complete a task. Mary and Jim together take 2 hours to complete the same task. How long will it take Jim to complete the task working alone?
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Question 121694: Martha can rake the leaves in her yard in 8 hours. Her brother can do the job in 6 hours. How long will it take them to do the job working together?Mar
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Question 121716: Two people together can do a certain job in twenty minutes. If one of them can do the job alone in forty-five minutes, how long will the other person take to do the job alone?
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Question 121837: Derek left the ranch on horseback, riding at 21km/h. One hour later his brother Jonathon left the ranch to catch up with Derek. Jonathon rode at 25km/h. How long did it take for Jonathon to catch up to Derek?
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Question 121862: Felicia and Rachelle are students in Mr. Johnston's Math 12 class. They got behind on their workcand need to finish seven assignments on the weekend. It would take Felicia 4 hours to finish the work by herself. It would take Rachelle 5 hours. If they worked together, how long would it take them to finish the work?
(answer in hours and minutes please:] )

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Question 121973: 1) Glenn can paint a house in 9 hours while Stewart can paint the same house in 16 hours.They work together for 4 hours.After 4 hours,Stewart left and Glenn finished the job alone.How many more hours did it take Glenn to finish the job?
2)It takes Butch twice as long as it takes Dan to do a certain piece of work.Working together they can do the work in 6 days.How long would it take Dan to do it alone?
3)A and B working together can finish painting a house in 6 days.A working alone can finish it in 5 days less than B.How long will it take each of them to finish the work alone?

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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