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Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)
Question 40454: There are 2 overflow pipes at a dam. The larger overflow pipe can lower the level of the water in the reservoir by 1 foot in 45 minutes. The smaller one lowers the level of water by 1 foot in 2 hours 15 minutes. If both overflow pipes are open at the same time, how long will it take them to lower the level of water by 1 foot? Thenk you in advance.
Click here to see answer by josmiceli(19441)   |
Question 40454: There are 2 overflow pipes at a dam. The larger overflow pipe can lower the level of the water in the reservoir by 1 foot in 45 minutes. The smaller one lowers the level of water by 1 foot in 2 hours 15 minutes. If both overflow pipes are open at the same time, how long will it take them to lower the level of water by 1 foot? Thenk you in advance.
Click here to see answer by Nate(3500) |
Question 40753: here's one of them: after rowing 2 miles upstream, a canoeist passes a log floating with the current. He travels 1 hour and then turns back and arrives home hust as the log gets there. Find the rate of the current.
2:the ratio of 2 posotive numbers is 3:2. The bigger number divided my the 10 less than the smaller is 2 with the remainder of 8. What is the smaller number?
3: Hallmark is going out of business! Amanda bought 6 b-day cards and 5 grad. cards for $1.52. Later in the day she decided to buy 3 b-day cards and 7 grad cards for $1.48. What is the proce for each kind of card?
Click here to see answer by rajagopalan(174)  |
Question 41861: Each day, Jason walks to his office at a constant rate. One-third of the way he passes a bank and three-fourths of the way to work he passes a store. At the bank his watch reads 6:52am and at the store it reads 7:02am. At what time was Jason halfway to his office.
Thanks for any help I don't know where to start.
Click here to see answer by psbhowmick(878)  |
Question 42657: Yet another, I can't seem to make "work".
If a ball is thrown straight up with an initial velocity of 48 feet per second, it's height after t seconds, is given by the formula h= -16tsquared + 48t. How long will it take the ball to return ot its point of departure?
I have h = 0.
I did the quad formula and came out with -48 +- 72/all over 32. Reduced to -24 +- 36/2, 12/2= 6 seconds. I put it into the original formula and it doesn't work. I apologize if this isn't making sense. It's been 27 years since high school and this college algebra is getting to me. I've worked out numerous problems, I'm down to this and the other I posted. I need to understand exactly what I've done wrong.
Thank you for your time and expertise... boy I appreciate it. Best Regards, Heidi
Click here to see answer by psbhowmick(878) |
Question 42657: Yet another, I can't seem to make "work".
If a ball is thrown straight up with an initial velocity of 48 feet per second, it's height after t seconds, is given by the formula h= -16tsquared + 48t. How long will it take the ball to return ot its point of departure?
I have h = 0.
I did the quad formula and came out with -48 +- 72/all over 32. Reduced to -24 +- 36/2, 12/2= 6 seconds. I put it into the original formula and it doesn't work. I apologize if this isn't making sense. It's been 27 years since high school and this college algebra is getting to me. I've worked out numerous problems, I'm down to this and the other I posted. I need to understand exactly what I've done wrong.
Thank you for your time and expertise... boy I appreciate it. Best Regards, Heidi
Click here to see answer by Nate(3500) |
Question 42651: I can't figure this one out.
A bathtub faucet will fill a tub in 4 minutes. The drain can drain the tub in 6 minutes. If the drain is left open and the faucet turned on, how long will it be before the tub overflows?
I tried, X/4 + x/6= 1, 6x/24 + 4/24 =1 Devided by 24. 24x/24x =1 x=1
one hour? does this sound right? I appreciate anyone's help, thank you in advance. Best Regards, Heidi
Click here to see answer by Nate(3500) |
Question 42722: Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
Click here to see answer by Socom491(19) |
Question 43176: Each of six decorators has to paint a room (walls only) and put a wallpaper border around the room at the ceiling. One gallon of paint covers 400 sq ft, and one roll of border contains five yards. Each decorator has one gallon of paint and three rolls of border. A ceiling height is 8' for each room.
The list gives the name of each decorator and the size of the room.
Mark 9 ft x 12 ft
Maria 10 ft x 12 ft
David 12 ft x 12 ft
Rachelle 12 ft x 13 ft
Mitzi 14 ft x 17 ft
Max 13 ft x 15 ft
List the names of the decorators who will have either enough paint or enough border or both.
Click here to see answer by Nate(3500) |
Question 43951: A student receives his grade report from a local community college, but the GPA is smugged. He tool the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a "B" in the art class, an "A" in the history class, a "C" in the science class, a "B" in the mathematics class, and an "A" in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
Please explain the solution.
Click here to see answer by psbhowmick(878) |
Question 44868: Scenario: Pipe A can fill a tank in 25hrs. Pipe B alone requires 15hrs to fill the same tank. Pipe C operating alone. Starting with an empty tank, pipes A&B are opened at the same time. After filling for three hrs, the drain is accidentally opened. Use the steps below to determine how many additional hrs. it will take to completely fill the tank. I can figure out what fraction of the tank is filled in the initial 3 hrs. What I cant figure out is what fraction of the tank will be filled by pipe A in the additional hrs. and the same for pipe B.
Click here to see answer by stanbon(75887) |
Question 46300: Solve, and round as needed. Thanks for any help.
Two machines are turned on at 8:00am. If one can produce 41 items each hour and the other can produce 50 items each hour, at what time will they prodice a total of 182 items?
Click here to see answer by checkley71(8403) |
Question 47626: Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?
Click here to see answer by stanbon(75887) |
Question 50121: Sorry to bother you but I cant seem to understand how I am suppose to solve this problem. Mr. Berg who works twice as fast as Mr. Slocum, received an hourly rate of pay 1 and 1/2 times as much as Mr.Slocum. An efficieny expert calculates that an article produced by Mr. Berg has a labor cost of 12 cents. What is the labor cost, in cents of an article produced by Mr. Slocum?
I got the fact that B=3/2S and that B=1/2S but i dont noe how to use that to find out the labor cost. please help. thank you
Click here to see answer by stanbon(75887) |
Question 50120: Hi. Mr. Stanley moved 3/4 of the lawn in 1 and 1/4 hours. Mr. Samuels, who work twice as fast, finished mowing the lawn. How many minutes did Mr. Samuels work?
I got the answer 50 minutes but the book said that the answer was 12 and 1/2 minutes. Am I correct? And if not, can you please show me how to get the correct answer? Thank you
Click here to see answer by stanbon(75887) |
Question 50642: A circular swimming pool with a diameter of 30 ft and a horizontal bottom contains 22,000 gallons of water. What is the depth of the water in the pool? (one cubic foot contains approximately 7.5 gallons of water.)
Book Answer: 4.15 ft
Click here to see answer by checkley71(8403) |
Question 51327: Please help...got stuck on this problem for long time...thank you!!
"Fencing Dog Pens" Clint is constructing 2 adjacent rectangular dog pens. Each pen will be three times as it is wide, and the pens will share a common long side. If Clint has 65ft of fencing, what are the dimensions of each pen??
Click here to see answer by rapaljer(4671)  |
Question 51327: Please help...got stuck on this problem for long time...thank you!!
"Fencing Dog Pens" Clint is constructing 2 adjacent rectangular dog pens. Each pen will be three times as it is wide, and the pens will share a common long side. If Clint has 65ft of fencing, what are the dimensions of each pen??
Click here to see answer by Earlsdon(6294) |
Question 51346: Question for help...Thanks
"Batman and Robin" Batman can clean up all of the crime in Gotham city in 8hr working alone. Robin can do the same job alone in 12hr. If Robin starts crime fighting at 8 A.M and Batman joins him at 10 A.M, then at what time will they have all of the crime cleaned up??
Click here to see answer by stanbon(75887) |
Question 51423: I Need help with this word problem....can anyone help...thank you.
Mixing Alcohol Solution A pharmacist needs to obtain a 70% alcohol soultion. How many ounces of a 30% alcohol solution must be mixed with 40 ounces of 80% alcohol solution to obtain a 70% alcohol solution???
Click here to see answer by Nate(3500) |
Question 51424: please I need help...thank you.
Ravi took eight coins from his pocket, which contained only dimes, nickels, and quarters, and bought the Sunday Edition of The Daily Star for 75 cents. If the number of nickels he used was one more than the number of dimes, then how many of each type of coin did he use??
Click here to see answer by venugopalramana(3286) |
Question 51374: I got stuck on this word problem can anyone help, thanks.
At the Northside assembly plant, 5% of the workers were classified as minority, while at the southside assembly plant, 80% of the workers were classified as minority. When Northside and southside were closed, all workers transferred to the new Eastside plant to make up its entire work force. If 50% of the 1500 employees at Eastside are minority, then how many employees did Northside and Southside have originally??
Click here to see answer by venugopalramana(3286) |
Question 52272: A used car dealer sold two cars and received $560 for each car. One of these transactions amounted to a 40% profit for the dealer, whereas the other amounted to a 20% loss. Show that the dealer’s net profit on the two transactions was $20.
Click here to see answer by checkley71(8403) |
Question 52417: How do you solve this working together problem?
Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?
Click here to see answer by stanbon(75887) |
Question 52417: How do you solve this working together problem?
Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?
Click here to see answer by Paul(988) |
Question 52908: Al paints with watercolors on a sheet of paper 21 inches wide by 12 inches high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 98 inches. How wide is the strip of the mat showing around the picture?
Click here to see answer by venugopalramana(3286) |
Question 53079: A 5-horsepower (hp) pump can empty a pool in 5 hours. A smaller, 2-hp pump empties the same pool in 8 hours. The pumps are used together to start emptying the pool. After three hours, the 2-hp pump breaks down. How much longer will it take the larger pump to finish emptying the pool, in hours and minutes?
Click here to see answer by Paul(988) |
Question 53712: im gets on a bike and travels to a location and back. The trip is 40 miles long. The return trip is 2 hours longer and his spead is decreased by 10 miles per hour. How hast did Jim go there and back?: Jim gets on a bike and travels to a location and back. The trip is 40 miles long. The return trip is 2 hours longer and his spead is decreased by 10 miles per hour. What was Jims speed on the trip to the location and his speed on the trip home?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 54600: It takes 5 hours for John to do some job. he worked for an hour , and then Mike joined . Together they finished the job in 1 1/2 hour.
a) how long would it take mike to do the job by himself?
b) if john worked for 3 hours before mike joined him , how long would it take for them to finish the job together?
Click here to see answer by venugopalramana(3286) |
Question 54597: Amy can do a certain job task in 4 hours. She decided to help her brother Jim after he spent 2 hours on the task. Together they finished the task in 2 more hours.
a)how long would it take for jim to do the task on his own?
b)how long would it take for them to do it together if Amy had joined jim from the beginning?
Click here to see answer by venugopalramana(3286) |
Question 56545: I reviewed some of the other problems but still couldn't figure it out. Thanks
A host 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?
thanks for your help.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 59633: The daily profit of a company P is related to the number of employees (x) working on that day and is represented by the equation P = - 25x2 + 300x.
What number of employees will maximize the profit and what will be the maximum profit?
Click here to see answer by josmiceli(19441) |
Question 59728: Barn Painting. Jan can paint a certain barn by herself in x days. Her helper June can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn they complete in one day by working together. Evaluate the expression x =5
Click here to see answer by stanbon(75887) |
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