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 702653: Hi, not sure on that one. Please, help.
Gina works at a diner. She earns $6 each hour plus tips. In one
week, she worked 37 hours a week and earned $43 in tips. How
much did she make altogether? Write an equation.
Click here to see answer by rfer(16322)

Question 702867: The time, t, required to complete a project varies inversely with the number of people, P, who work on the project. If it takes 36 hours for 5 painters to paint 7 houses, how long would it take for 30 painters to complete the same job?
Click here to see answer by solver91311(24713)

Question 703136: Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses?
Click here to see answer by Edwin McCravy(20054)

Question 703136: Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses?
Click here to see answer by stanbon(75887)

Question 703136: Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses?
Click here to see answer by AnlytcPhil(1806)

Question 703585: If you can do 12 math problems in 45 minutes. How long should it take you to do 20 math problems.
Click here to see answer by ptaylor(2198)

Question 703805: Spike can paint a small house in 6 hours; Jet can do it 9 hours, and Faye in 12 hours. Spike and Jet started painting 8am. After 3 hours, Jet left for an errand but Faye came in to help Spike. At what time will they finish?
Click here to see answer by ankor@dixie-net.com(22740)

Question 703856: Lisa and Kay were asked by their mother to clean their room. Lisa can clean her room in 8 hours, and Kay in 12 hours. How long will it take if they both clean their room together?

Click here to see answer by nerdybill(7384)

Question 703894: Two workers working together finished a job in 12 hours. Later the first worker made one half of the same job and after it the second worker finished the other half of the job. In this case they finished the job in 25 hours. How long can they finish the job separately?
I set up a table...
Worker Fraction of job Rate in jobs/hr Time in hrs
A alone 1/2 x
B alone 1/2 25 �x
A + B 1 12
B alone's time is based on fact that x + y = 25 where x and y represent time for 1/2 each of job... so solved to x
then you can rewrite to allow for sum of rates as follows, multiply the first two entries by 2 to give whole jobs:
Worker Fraction of job Rate in jobs/hr Time in hrs
A alone 1 1/2x 2x
B alone 1 1/(50-2x) 2(25 - x)
A + B 1 1/12 12
So knowing that the rate alone must when combined equal 1/12:
1/2x + 1/(50-2x) = 1/12
and then I get lost somewhere in here solving and get stuck... I understand that the introduction of a higher power can result in some unreasonable negatives, but still cannot seem to solve this... Where am I going wrong???
Click here to see answer by KMST(5328)

Question 703930: 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 8% annual interest, how much more will she have to invest at 7% to achieve her goal?
Click here to see answer by DrBeeee(684)

Question 704056: If 10 workers can finish the work in 1 day, how about 8 workers? Please with solution.
Click here to see answer by ankor@dixie-net.com(22740)

Question 704483: roselinda rode her bike for 60 miles at 30 miles per hour and then rode 20 miles at 10 miles per hour. how fast would she have to ride for the next 20 miles to have an overall average speed of 20 miles per hour for the entire trip?
Click here to see answer by stanbon(75887)

Question 704487: Five maids can clean seven houses in three days. How long would it take eight maids to clean twenty houses if all the work was done at the same rate?
Click here to see answer by stanbon(75887)

Question 704480: queen wanatonga was frustrated because the men worked so slowly. it took 5 men 10 days to do the first job, and then 3 men quit. how many days would it take the 2 remaining men to do another job the same size
Click here to see answer by josgarithmetic(39613)

Question 704506: A Painting job can be completed in 12 hours by 3 professional painters. The same job can be completed in 6 hours by 6 professional painters. All professional painters paint at the same rate.
What is the total amount of time it would take 9 professional painters to complete the same painting job?
Click here to see answer by josmiceli(19441)

Question 704592: Pump A can fill a tank of water in 4 hours. Pump B can fill the same tank in 6 hours. Both pumps are started at 8:00 a.m. to fill the same empty tank. An hour later, pump B breaks down and took one hour to repair and was restarted again. When will the tank be full? (round your answer to the nearest minute).
Click here to see answer by josgarithmetic(39613)

Question 3324: Diane can paint a house in 8 hours. Anne can paint a house in 10 hours. What is the fraction that they paint the house together in 2 hours?
Click here to see answer by filboi(35)

Question 705229: A tap fills a tank 12 hours other emptied it in 14 hour if both are open how much will take time to fill it..
Click here to see answer by nerdybill(7384)

Question 705304: If Gregory if traveling 40 mph and left home an hour before Alyssa, how long will it take Alyssa to catch up to Gregory if Alyssa is going 50 mph?
Click here to see answer by checkley79(3341)

Question 705817: X can do (1/4) of work in 10 days. Y can do 40% of the work in 40 days and Z can do (1/3) of the work in 13 days. Who will complete the work first?
Click here to see answer by MathLover1(20849)

Question 705905: Your weekly paycheck is 15% less than your neighor's paycheck. The two paychecks total $1125. Find the amount of each paycheck.
I can't get past: 1125=x+.15x. Is this the way to start the problem?
Click here to see answer by Alan3354(69443)

Question 706108: Eight men can finish a painting job in 10 days. If the task needs to be completed 2 days ahead of schedule, how many men will be needed?
Click here to see answer by nshah11(47)

Question 706076: Jose can paint a room in two hours, juanita can paint the room in three hours, how long would it take them to paint the room working together?
Click here to see answer by nerdybill(7384)

Question 706237: 0.30�0.06
Click here to see answer by jim_thompson5910(35256)

Question 706362: 120 People does work in 90 days how many people need to same work in 40days?
Click here to see answer by josmiceli(19441)

Question 706362: 120 People does work in 90 days how many people need to same work in 40days?
Click here to see answer by stanbon(75887)

Question 706498: if it take one tap 6 mins to fill a bath and another tap 12 mins to fill a bath, how long will it take if both taps are running?
Click here to see answer by god2012(113)

Question 706994: It takes you 8 hours to paint one room by yourself. If you work for x hours, what portion of the job do you complete?
Click here to see answer by stanbon(75887)

Question 707033: Two workers when working together they finishing painting in X amount of time. But when working separately one worker finishes X amount of hours plus 8 more and the second worker finishes X amount of hours plus 18 more. What is X?
Click here to see answer by josgarithmetic(39613)

Question 707908: I'm stumped with this question - can you please help me?
Whenever twins Sandra and Rachel read a book, Sandra wastes no time and begins to read immediately at a constant rate of 3 pages per minute, while Rachel has a certain �ritual� that she always performs: Pour a glass of milk, get her favorite pillow, solve a math problem and then begin to read. This process of Rachel�s takes 10 minutes, but she can read at a rate of 5 pages per minute. If they begin their perspective reading procedures at 8:00 pm, then at what time will they have both read the same number of pages?
Click here to see answer by ankor@dixie-net.com(22740)

Question 708075: Cara can pick enough apples to fill a barrel in half an hour. Jim takes 42 minutes to do it. In how many minutes can they pick a barrel full if they do it together?
Click here to see answer by josgarithmetic(39613)

Question 708796: If 4 workers can paint a house in 8 hours,
then 2 workers can paint the same house in how many hours
Click here to see answer by ptaylor(2198)

Question 709419: Workers A and B, working together, can finish a job in 8 hours. If they work together for 6 hours after which Worker A leaves, then Worker B needs 9 more hours to finish the job. How long does it take Worker A to do the job alone?
Click here to see answer by ptaylor(2198)

Question 709861: When John mows for one hour and Sally mows for one hour and 30 minutes, they complete the job of getting the lawn mowed. When Sally mows for 30 minutes and John mows for 1 hour and 40 minutes, they complete the job of getting the lawn mowed. How many hours would it take for Sally to mow the lawn by herself, and how many hours would it take John to mow the lawn by himself?
Define two variables, write a system of equations, and then solve. Help?
Click here to see answer by josgarithmetic(39613)

Question 710215: sam used 2/3 of a can of paint. How much paint is left in the can?
Click here to see answer by MathLover1(20849)

Question 710489: Working together, Brad and Mike can complete a job in 3 hours. If it takes mike 5 hours to do the job alone,how long would it take Brad to do the job alone?
PLZ help
Click here to see answer by stanbon(75887)

Question 710585: Six people can paint 4 walls in 41 minutes. How many minutes will it take for 10 people to paint 10 walls? Round to the nearest minute.
Click here to see answer by srinivas.g(540)

Question 710713: Y men can do a job in 20 days. They work for 8 days and rest for 4 days. For them to complete the same job they need 16 more men. What is the initial number of men,
Click here to see answer by ankor@dixie-net.com(22740)

Question 710776: A filled tub loses 2 gallons of water every hour. If the tub holds 80 gallons, how long will it be before the tank is empty?
Click here to see answer by jim_thompson5910(35256)

Question 710847: One pipe can fill a tank in 6 hours and another pipe can fill the tank in 10 hours. How long will it take to fill the tank if both pipes are used?
Click here to see answer by josmiceli(19441)

Question 711134: the perimeter of a playing field is 584 yards. the length is 8 yards shorter than quadruple the width. what are the dimensions?
Click here to see answer by srinivas.g(540)

Question 711313:
Stan can load his truck in 48 minutes. If his brother helps him, it takes them 30 minutes to load the truck. How long would it take Stan's brother working alone to load the truck?
Click here to see answer by checkley79(3341)

Question 711550: One worker make a wall in 5 days,second one in 6 days,3rd one in 7 days.if all three worker make wall together then how much time taken by them?
Click here to see answer by stanbon(75887)

Question 711636: Bill takes four times as long to do a job as Jose. Suppose t represents the time it takes Bill to
do the job. Then t/4 represents the time it takes Jose. How long does it take Jose if it takes
Bill 76 minutes?
Click here to see answer by god2012(113)

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