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 1129121: A tank is fitted with a pipe that can fill it in three hours and a pipe that can empty it in six hours. If both pipes are open, how long will it take to fill the empty tank?
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Question 1129851: It takes Andy 45 minutes to clean the kitchen. His sister Anita can do the job in 30 minutes. How long would it take Andy and Anita to clean the kitchen if they worked together?
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Question 1129852: A bakery delivery truck leaves the Bakery at 5:00am each morning on its 140-mike route. One day the drive gets a late start and does not leave the bakery until 5:30am. To finish her route on time the driver drives 5 miles per hour faster than Usual. At what speed does she usually drive?
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Question 1130076: A set of trading cards sells for $8.95 before tax . After sales tax, its costs $9.60. What is the sales tax rates ?
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Question 1130155: Mr Udofoa can clear a field on 6 days while Mr udo can clear the same field in 3 days. How many days will it take both of them to clear the field together?
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Question 1130814: Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 600 liters in the pond to start . Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T , and then graph your equation using the axes below.

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Question 1130865: A painting was sold in 1985 for $ 2 million. The painting was then resold in 1996 for $ 8 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 2. (Round decimals to three places.)

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Question 1131005: together an experienced carpenter and an apprentice can make a wooden goblet in 6 hours. Alone, the experienced carpenter can make the goblet 2 hours faster than the apprentice. Find the time in which each person can make the goblet alone.
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Question 1131119: "At noon, a pump is turned on to fill an empty pool. Normally, the pump would fill the pool in 12 hours, but at 12:00 P.M, a valve is accidentally opened that could drain a full pool in 20 hours. If the valve remains open, at what time will the pool be full?"
This was a question I had on my Algebra 2 test and I got punched in the face with this question..., I wasn't able to fill in the chart at all, but if I'm right the chart should be a rate x time = distance (work) chart. I really have no idea how to fill in the chart...
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Question 1131129: Bob can plant a garden by her self in 10 hours. When her son Andrew helps her the total time it takes them to plant the garden is 4 hours. How long would it take Andrew to plant the garden himself
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Question 1131263: One roofer can put a new roof on a house three times faster than another. Working together they can roof a house in 5 days. How long would it take the faster roofer working alone?
T/A + T/B = 1
Let T represent their time working together (5 days)
A represents the faster roofer
B represents the other
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Question 1131356: Jayda takes 5 hours to deliver 410 newspapers on her paper route. What is the rate per hour at which she delivers the newspapers?

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Question 1131672: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 10 hours. How long will it take the pipe to fill the pool if the drain is left open?
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Question 1132152: Dan can do the job in 30 hours, Ellen can do it in 40 hours, and Francis can do it in 60 hours. How long would it take them if they work together? (use only one variable)(thanks in advance)
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Question 1132505: A farmer can plow a given field in 2 hours less time than it take his son. If they acquire two tractors and work together, they can plow the field in 5 hours. How long does I take the father alone?
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Question 1132578:
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Question 1132886: Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works alone, it takes Jack 2 h to deliver all the flyers, and it takes Lynn 5 h longer than it takes Kay. Working together, they can deliver all the flyers in 60% of the time it takes Kay working alone. How long does it take Kay to deliver all the flyers alone?
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Question 1132983: It takes 2 assemblers working 7 hours to assemble one computer. To make 100 in 70 hours of work, how many workers will it take?
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Question 1132983: It takes 2 assemblers working 7 hours to assemble one computer. To make 100 in 70 hours of work, how many workers will it take?
Click here to see answer by greenestamps(13198)

Question 1133078: Luis and Julia have the same number of coins. Luis has only dimes and Julia has only quarters. If Julia has $1.80 more than Luis does, how many coins does each have ?
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Question 1133136: Liza's bucket is full of water and has a leak. The bucket loses 60 ml every 4 minutes.
a. Define a variable for the quantity of time elapsed since the bucket started leaking.
b. Define a variable for the quantity of water in the bucket.
c. Write an expression for the volume of water that is leaking from the bucket, since the leak began.
d. If the bucket has 100 ml of water when the bucket starts leaking, write an expression for the volume of water in the bucket since the leak began.
e. Write a formula for the volume of water in the bucket in terms of the time elapsed since the bucket started leaking.
f. Sketch a graph of to represent the volume of water in the bucket in terms of the time elapsed since the bucket started leaking.
g. As the number of minutes since the leak began increases from 2 to 4 minutes, how does the volume of water in the bucket change? Represent this change in volume on the graph.
h. How long will it take for the bucket to run out of water?
i. What does the point (2,70) represent in context to this problem?
Click here to see answer by josmiceli(19441)

Question 1133156: how much water must be added to 700 mL of 50% salt solution in order to obtain a 20% salt solution?
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Question 1133171: A man waters, with a garden hose, a contained area of 2.26 feet. If the volume of water coming out of the hose fills a 10 quart pail in 2 minutes, what is the "rainfall" depth (in inches) equivalent if he runs the hose for 12 minutes?
Show all work. Some conversion factors you may need:
1 gallon = 8 pounds
1 cubic foot = 62.4 pounds
(pi) r^2 h = volume of a cylinder
d = 2r
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Question 1133581: It takes Matt 15 hours to pick 40 bushels of apples. Ndiba can pick the same amount in 13 hours. If they worked together how long would it take them?
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Question 1133582: Castel can pick 40 bushels of apples in 15 hours. One day his friend Maria helped him and it only took 5.63 hours. How long would it take Maria to do it alone?
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Question 1133629: Manuel can build a house in 45 days. With Errol’s help they can build the house in 30 days. How long
would it take Errol to build the same house by himself?

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Question 1032755: 30 labours construct 15 rooms in 18 days . in how many days can 12 labourers construct 12 rooms of the same size
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Question 1134008: A father and his son can dig a well, if the father works 6 hours and his son works 12 hours, they can also do it if the father works 9 hours and his son work 8 hours. How long it will take for the father to dig the well alone?
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Question 1134009: Andrea takes half the time it takes Samantha to do a certain job, if they work together they will take 6 hours. How long will Andrea to do it alone?
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Question 1134010: A vessel can be build by Pipe A in 4 hours and Pipe B in 8 hours. Each working independently. At 8 AM, Pipe A has started. At what time will the vessel refill the Pipe B in an hour later?
Click here to see answer by Boreal(15235)

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