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 98654: kristy can mow a lawn in 1 hour less time than her sister jane. together they can finish the job in 5 hours. how long would it take kristy if she worked alone?
Click here to see answer by edjones(7569)

Question 98660: Kristy can mow a lawn in 1 hour less time than her brother steven. together they can fiinish in 5 hours. how long would it take kristy if she worked alone
Click here to see answer by edjones(7569)

Question 98661: A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool?
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 98662: A drain can empty a pool in 6 hours. Another drain takes 3 more hours to empty the pool than the two drains combined. How long would it take the second drain to empty the pool?
Click here to see answer by ptaylor(2048)

Question 98509: Two children at a time can play pairball. For ninety minutes, with only two children plaing at one time, five children take turns so that each one plays the same amount of time. How many mintues dows each child play?
Click here to see answer by 303795(595)

Question 98970: if steven can make 20 drinks in 5 minutes, sue can make 20 drinks in 10 minutes and jack can make 20 in 15 minutes. How much time will it take all three of them working together to make 20 drinks
Click here to see answer by checkley71(8403)

Question 99510: 2 pumps-
1 fills a tank in 5 hours
1 fills a tank in 7 hours--
how many hours to fill the tank with both pumps filling it at the same time?
how did you come up with the answer?
thanks...

Click here to see answer by stanbon(57246)

Question 99543: A company buysa copier for $10,000. The value of the copier is $10,000(1-n/20) after n years. After how many years will the value of the copier be $6,500?
Click here to see answer by Edwin McCravy(8882)

Question 99531: A group of workers was put on a job. From the second day onwards one
worker was withdrawn each day. The work was finished when the last
worker was withdrawn. If no worker was withdrawn at any stage, the
group would have finished the job in two-thirds time. How many workers
were there in the group?
Click here to see answer by Edwin McCravy(8882)

Question 99988: Two sand hauling trucks one that holds 12 tons and one that holds 15 tons make a total of 20 trips to haul 273 tons of sand. How many trips does each truck make?
Click here to see answer by checkley71(8403)

Question 100038: Kim can unload a delivery truck in 20 minutes and Rom can do it in 35 mins. If they work together, how long will it take?
Click here to see answer by ptaylor(2048)

Question 100077: Students are traveling in two cars to a football game 135 miles away. The first car leaves on time and travels at an average speed of 45 miles per hour. The second car starts 30 minutes later and travels at an average speed of 55 miles per hour. How long will it take the second car to catch up to the first car? Will the second car catch up to the first car before the frst car arrives at the game?

So far I have tried this:
t= 1st car's time when 2nd car catches up,
2nd car left 30 minutes later, so its 1/2 hour therefore t-(1/2)
then I tried setting up an equation
1st car distance= 2nd car distance....
but it doesnt seem to work from here! maybe there's something wrong with my approach to the question. Thank you for your help!
Click here to see answer by scott8148(6628)

Question 100645: Two airplanes depart from an airport traveling opposite directions. The second airplane is 200 miles per hour faster than the first. After 2 hours they are 1100 miles apart. Find the speeds of the airplanes.
Click here to see answer by checkley71(8403)

Question 100658: A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle.
Click here to see answer by checkley71(8403)

Question 100647: Two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they sre 150 miles apart. Find the speeds of the boats.
Click here to see answer by checkley71(8403)

Question 100651: A group of 10 6- and 12- voltbatteries are wired in series as shown at the right. the sum of their voltages is 84 volts. How many of each type of battery are used?
Click here to see answer by oberobic(2304)

Question 100929: Holly takes 50 minutes to mow the lawn. It takes Erich an hour to mow the same lawn. One day Holly started mowing the lawn by herself and worked for 10 minutes. The Erich joined her and the finished the lawn together. How long did take them to finish mowing the lawn after Erich started to help? How do I find the end of this problem. There is the same problem listed on here, but I don't understand where they got the 4/5 fraction from. Someone please help!
Click here to see answer by ptaylor(2048)

Question 101185: Ellen's motorboat can travel 30 mi/h in still water. If the boat can travel 7 miles downstream in the same amount of time it takes to travel 3 miles upstream, what is the rate of the river's current?
Click here to see answer by stanbon(57246)

Question 101333: Dan can shovel dirt off his lawn in 40min. He shovels for 20 min and then is joined by Tom. If they shovel the remaining dirt in 10min, how long would it have taken Tom to shovel the lawn alone? Please help. Thanks
Click here to see answer by ankor@dixie-net.com(15638)

Question 102668: TWO MEN PAINTED A ROOM IN 3 HOURS. HOW LONG WOULD IT TAKE EACH WORKING ALONE TO PAINT THE ROOM IF THE FASTER ONE CAN DO IT IN 2 1/2 HRS. LESS THAN THE OTHER ONE?
SO WHAT WOULD THE EQUTION BE AND HOW WOULD I SOLVE IT.
Click here to see answer by ankor@dixie-net.com(15638)

Question 102963: Ryan can mow a lawn in 1 hour, and his son, Malik, can mow the same lawn in 50 minutes. ONe day Malik wtarted mowing the lawn by himself and worked for 30 minutes. Than ryan joined him and they finished the lawn. HOw long did take them to finsh mowing the lawn after Ryan started to help?
Click here to see answer by ankor@dixie-net.com(15638)

Question 103194: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by checkley75(3666)

Question 103421: Jim can fill a pool carring buckets of water in 30 minutes. Sue can do the same job in 45 minutes, and Tony can do the same job in 1 1/2 hours. How quickly can the three fill the pool together?

I have tried soo many ways, and even my toutor could not remember how to do these problems. Please if any way possible, give a solution and a reasoning of how you got your answer. Thank you.
Click here to see answer by stanbon(57246)

Question 103788: It takes 5 men 20 days to paint Tom's fence. How long should it take 4 men to paint the fence working at the same rate?
Click here to see answer by edjones(7569)

Question 103822: Connie can type 600 words in 5 minutes less than it takes Katie to type 600 words. If connie types at a rate of 20 words per minute faster than Katie types, find the typing rate of each woman.
Click here to see answer by MathLover1(6622)

Question 103839: Gary needs to drain his 10,000 gallon pool. He uses two pumps. One pump drains 10 gallons of water every minute while the other drains 5 gallons of water every 15 seconds. If the pumps drain water from the pool during the same span of time, determine the time (in minutes) for the pool to be drained.
Click here to see answer by Earlsdon(6287)

Question 103904: a highschool hiking club held a carwash to raise money for equipment. Rudy, Cheryl, Tom and Pat volunteered to help. Rudy could wash a car in 10 minute. Cheryl in 12, Tom in 8, and Pat in 15. They all started on the first car, but after 2 minutes another car came in and Pat and Tom went to work on it. one minute later Rudy quit to take care of another customer. How long did it take Cheryl to finish the first car alone.
Click here to see answer by ankor@dixie-net.com(15638)

Question 103960: Mary, Sue and Bill work at a motel. If each worked alone, it would take Mary 10 hours, Sue 8 hours, and Bill 12 hours to clean the whole motel. One day Mary come to work early and she had cleaned for two hours when Sue and Bill arrived and three finished the job. How long did they take to finish.?
Click here to see answer by ankor@dixie-net.com(15638)

Question 104888: Bill takes 2hours and Monica takes 1hour to wash a car. How long will both take to do the same?
Click here to see answer by oberobic(2304)

Question 105081: I have two questions
#1-After inheriting some money, a woman wants to invest enough to have an annual income of $5,000. If she can invest $20,000 at 9% annual interest, how much more will she have to invest at 7% to achieve her goal?

#2-Equal amounts are invested at 6%, 7%, and 8% annual interest, if the three investments yield total of $2,037 annual interest, find the total investment.
Click here to see answer by checkley75(3666)

Question 105378: Mr. Berg, who works twice as fast as Mr. Slocum receives s hourly rate of p[ay 1 1/2 times as much as Mr.Slocum. An efficiency expert calculatethat an article produced by Mr.Berg has a labor cost of 12 cents. what is the labor cost in cents of an articleproduced by Mr.Solcum?
Click here to see answer by ankor@dixie-net.com(15638)

Question 105737: QUESTION: If two(2) men can build two(2) engines in two(2) hours, then how many men will it take to build eighteen(18) engines in six(6) hours?
I do not know how to set up this problem to be solved. Thank you for your services
Sincerely,
Amerikaner
Click here to see answer by ankor@dixie-net.com(15638)

Question 105786: is 5 a solution of x(2)-7x+3=18-5x?
Click here to see answer by Fombitz(13828)

Question 105696: if jimmy cracks corn 5 times a week and susie cracks 3 times a week what percentage do they crack corn in a year.
Click here to see answer by checkley75(3666)

Question 107493: Alan Cantrell can word process a research paper in 6 hours. With Steve Isaac's help, the paper can be processed in 4 hours. Find out how long it takes Steve to process the paper alone.

I know that I need to set this up in a graph and use the rate/time formula i just don't know how to separate the "variables" or whatever.

Click here to see answer by checkley71(8403)

Question 107495: If Sarah Clark can do a job in 5 hours and Dick Belli and Sarah working together can do the same job in 2 hours, find how long it takes Dick to do the job alone.
Click here to see answer by scott8148(6628)

Question 107596: Construction. A garden area is 30 ft. long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?
Boy do I ever need help with this one. Thank you!
Click here to see answer by scott8148(6628)

Question 107942: A,B, and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job? I was thinking about the equation:
A+B+C/6=1
Click here to see answer by edjones(7569)

Question 107977: ok, here we go.
John and Harry can paint a house in 10 days. when working alone John can paint the house in 30 days. How many days will it take Harry to paint the house.
I have no idea how to do this probolem.
Click here to see answer by edjones(7569)

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