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

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Question 685085: A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping gear, sets out by car. How fast must the father drive to overtake the boy in 15 minutes?
Click here to see answer by stanbon(75887)

Question 685730: When Raul and Rudy work together, they can paint a car in 8 days. Also, they could paint this car if Raul worked 12 days and Rudy worked 6 days. How long would it take each of them to paint the car alone?
Click here to see answer by stanbon(75887)

Question 685734: A and B working together can finish a certain job in 20/3 hours. They start the work together but after 3 hours, A became ill and B continuing the work alone finished it in 33/4 hours. How long would it take each working alone to do the job.
Click here to see answer by stanbon(75887)

Question 685827: A and B working together can finish a job in T days. If A works alone and completes the job, he will take T + 5 days. If B works alone and completes the same job, he will take T + 45 days. What is T?

Click here to see answer by Edwin McCravy(20054)

Question 686116: Working together, Bob, Sally, and Harry can dig a hole in 3.5 hours. Working alone, Harry can do it in 7 hours. Bob can do it 3/4 hours fasters than Sally. How long will it take for Sally to dig a hole alone?
Click here to see answer by josmiceli(19441)

Question 686438: Working together, Linda and Kathy can
clean a beach house in 5.14 hours. Had she
done it alone it would have taken Linda 11
hours. How long would it take Kathy to do
it alone?
Working
Click here to see answer by Edwin McCravy(20054)

Question 686876: Twin brothers, person A and person B can mow their parents lawn together in 72 minutes. Person B could mow the lawn by himself in 17 minutes more than it would take person A. How long would it take each alone? The person who can solve this right first I will buy them lunch.
Click here to see answer by lwsshak3(11628)

Question 687626: Work Rate: After working together on a common job, one worker completes x+2/4 of the work and another completes x+3/6 of the work. How much more did the first worker accomplish than the second?
My answer and steps:
x+2/4 - x+3/6 = 6x+12/4 - (-4x-12)/24 = 10x/24 which is lowest term to 5x/12
Click here to see answer by josmiceli(19441)

Question 687879: It takes 18 employees to complete a job in 95 days. I want the job completed in 72 days, how many employees do I need?
Click here to see answer by ptaylor(2198)

Question 688006: .
Glenn and Paula want to dig an irrigation channel for their newest garden. Together it takes them 1.7 hours to dig an appropriately sized irrigation channel. If Paula can dig the channel by herself in 2.5 hours, how long would it take Glenn by himself to dig the channel? If necessary, round to the nearest tenth of an hour.
Click here to see answer by stanbon(75887)

Question 688090: Al can paint the house in 5 1/3 hours. It takes Ben 8 hours to do the same job. How long would it take if they worked together?
I've tried:
(1 / 5 1/3) + (1/8) = (1/t) and then I get stuck.
Click here to see answer by lwsshak3(11628)

Question 688817: a painting job can be completed by 6 painters in 45 days if 24 more painters join the team 10 days after starting work,then how many more days will it take to complete the job
Click here to see answer by ptaylor(2198)

Question 688937: trent can deliver his newspapers in 30 minutes. It takes Lois 60 minutes to do the same route. How long would it take them to deliver the newspapers if they work together.
Click here to see answer by checkley79(3341)

Question 689110: It takes 4 minutes longer to drain a Jacuzzi than it does to fill it. If the drain is left open, it takes 15 minutes to fill it. How many minutes does it take to fill the Jacuzzi when the drain is closed?
Click here to see answer by ankor@dixie-net.com(22740)

Question 689374: one pipe can fill a swimming pool in 10 hours. if a second pipe is used together with the first pipe, the pool can be filled in 6 hours. how long would it take the second pipe alone to fill the pool?

Click here to see answer by Edwin McCravy(20054)

Question 689377: 1. computer A can process a quantity of data in 6 hours, while computer A can process the same amount of data in 10 hours how long will it take both machines working together to process the data?
Click here to see answer by Edwin McCravy(20054)

Question 689418: 2. with both hot and cold water running a bath tub can be filled in 8 minuts. the drain will empty the tub in 10 minuts. a child turns both faucets and leaves the drain open. how long will it be before the bath tub starts to over flow?
Click here to see answer by Edwin McCravy(20054)

Question 689466: bOB OWN A WATCH REPAIR SHOP. hE HAS found that the cost of operating his shop is given by c(x) = 2x^2-112x+58, where c is cost and x is the number of watches repaired. how many watches must he repari to have the lowest cost?
Click here to see answer by lwsshak3(11628)

Question 690034: A car passes a landmark on a highway traveling at a constant rate of kilometers per hour. Half an hour later, a second car passes the same landmark traveling in the same direction at kilometers per hour. How much time after the second car passes the landmark will it overtake the first car?

Click here to see answer by stanbon(75887)

Question 690104: brad can paint a fence in 8 hours. ashley can do it in 4 hours. how long will it take them to do the job working together

Click here to see answer by checkley79(3341)

Question 690250: A pipe can fill a pool in 9 hours and another pipe can empty the pool in 12 hours. If both pipes are left open at the same time, how long will it take to fill the pool?
Click here to see answer by josmiceli(19441)

Question 690312: Two pipes can fill a tank is 34 minutes if both are turned on. If only one is used, it would take 36 minutes longers for the smaller pipe to fill the tank than the larder pipe. HOw long will it take for the smaller pipe to fill the tank. (round to the nearest tenth if needed.)
Click here to see answer by josmiceli(19441)

Question 690681: Suppose that 5 workers can complete a certain task in 12 days. If there are 15 workers, how many days would it take for them to finish the same task?

Click here to see answer by ankor@dixie-net.com(22740)

Question 691466: dollers per pound and miles per hour are real world examples of

Click here to see answer by stanbon(75887)

Question 691189: if one faucet fills the sink in 3 minutes and another fills it in 2 minutes, how long will it take both faucets to fill the sink if both are turned on together?
ive tried taking the average but i was told it wasnt right without an explanation and then i tried using equations but then i couldnt put it together.
Click here to see answer by ankor@dixie-net.com(22740)

Question 691720: the cold and hot water faucets of a certain bathtub take 7 minutes to fill the tub. If it takes the hot water faucet 17 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Click here to see answer by sachi(548)

Question 691734: 1 pump can empty a tank in 8hr. and 15 min. another pump can empty the same tank in 11 hr how long will it take to empty the same tank with both pumps running at the same time.

Click here to see answer by sachi(548)

Question 691996: Morgan takes 3 hours to paint a room and Jenae take 5 hours. How long will it take them working together?
Click here to see answer by unlockmath(1688)

Question 692265: I need to do the following problem: A carpenter and his partner can put up a patio cover in 3 3/7 hours. If the partner needs 8 hours to complete the cover alone, how long would it take the carpenter working alone? I must show my work.
Click here to see answer by ptaylor(2198)

Question 693097: sam reads 36 pages of a novel in 2 hrs at the same rate find the number of hrs it would take him to read the remaning 135 pages.
Click here to see answer by stanbon(75887)

Question 693800: Two pipes can fill a tank in 41 minutes if both are turned on. If only one is used it would take 29 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank?
Click here to see answer by ptaylor(2198)

Question 693856: 120PERCENT OF A IS EQUAL TO 80 PERCENT OF B, FIND A+B

Click here to see answer by stanbon(75887)

Question 694225: If Steven can mix 20 drinks in 5 minutes, sue can mix 20 drinks in 10 minutes, and jack can mix 20 drinks in 15 minutes, how much time will it take all three of them working together to mix the 20 drinks?
Click here to see answer by ptaylor(2198)

Question 694276: My son can clean the attic in 4 hours and I can do it in 2 hours. How long would it take if we worked together.
Click here to see answer by nerdybill(7384)

Question 694392: If a painter can paint a house in 6 hours and his apprentice can paint the same sized house in 9 hours, how long will it take for them to paint a house if they worked together?"

Click here to see answer by jim_thompson5910(35256)

Question 695258: jake can complete a job in 5 hours while jerry can complete the same job in 3 hours. how long would it take to complete the job if jake starts the job two hours before jerry joins him
Click here to see answer by stanbon(75887)

Question 695309: The time it takes for Jill to grade a set of tests depends on the amont of coffee that she drinks in the morning. After the customary 12 cups of coffee, a set of tests would only take 40 minutes to grade, on a slow morning though (when she only has 4 cups of cofee, a set of tests would take her one hour and twentytwo minutes. Write an equation expressing the grading time in terms of numbers of cups of coffee.
Click here to see answer by stanbon(75887)

Question 695718: A pool takes 9 hours to full with the intake hose and 12 hours to empty with the outtake hose. if both hose are left open, how long does the pool take to full?
Click here to see answer by josmiceli(19441)

Question 695866: if 6 women & 10 children completes the work in 6 days , and 6 Women alone completes the same work in 10 days then how many days does 10 children will take to complete the same work?
Click here to see answer by ptaylor(2198)

Question 696112: Tim can stock 2 shelves in 30 minutes. Emma can stock 2 shelves in 45 minutes. If they work together how long will it take to stock 2 shelves?
Click here to see answer by ptaylor(2198)

Question 696188: John and Fred hang wallpaper. Working together, they can put up wallpaper in an average sized room in 8 hours. One day, John has an appointment in the morning and Fred is forced to work 5 hours alone. Once John arrives, they work together for 7 hours to complete the room. How long would it take each person to hang wallpaper in an average sized room?

Click here to see answer by ptaylor(2198)

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