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Tutors Answer Your Questions about Rate-of-work-word-problems (FREE)
Question 1182648: The total energy required to move a 10-N block up a 25-degree incline for 10 meters is 500 Joule. A frictional force of 10-N opposes the motion of the block. Determine force (parallel the inclined) required to move the block, the rate of work done if the work was done in 10 seconds, and the initial velocity of the block if its velocity at 10 meters is 30 m/s.
Click here to see answer by CPhill(1987)   |
Question 1182652: The total energy required to move a 10-N block up a 25-degree incline for 10 meters is 500 Joule. A frictional force of 10-N opposes the motion of the block. Determine the force (parallel the inclined) required to move the block, the rate of work done if the work was done in 10 seconds, and the initial velocity of the block if its velocity at 10 meters is 30 m/s.
Click here to see answer by CPhill(1987) |
Question 1188303: For a given mass of gas in a piston, 𝑝𝑉^1.5 = 400 where p is the pressure in N/m^2, and V is the volume in m^3. Suppose the pressure increases at a constant rate of 3 N/m^2 per minute. Find the rate at which the volume is changing at the instant when the pressure is 50 N/m^2.
Click here to see answer by artographer(1)  |
Question 1209017: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both faucets closed and the stopper removed, the tub will empty in 20 minutes. How long will it take for the tub to fill if both faucets are open and the stopper is removed?
Click here to see answer by math_tutor2020(3822) |
Question 1209017: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both faucets closed and the stopper removed, the tub will empty in 20 minutes. How long will it take for the tub to fill if both faucets are open and the stopper is removed?
Click here to see answer by greenestamps(13219)  |
Question 1209017: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both faucets closed and the stopper removed, the tub will empty in 20 minutes. How long will it take for the tub to fill if both faucets are open and the stopper is removed?
Click here to see answer by ikleyn(52955)  |
Question 1209016: An oil tanker can be emptied by the main pump in 4 hours.An auxiliary pump can empty the tanker in 9 hours. If the main pump is started at 9 AM, when should the auxiliary pump be started so that the tanker is emptied by noon?
Click here to see answer by ikleyn(52955) |
Question 1208959: 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?
Let A = length of time it will take April to paint four rooms
Here is my equation:
(1/10) + (1/A) = 1/6
Is this correct?
Click here to see answer by math_tutor2020(3822) |
Question 1208959: 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?
Let A = length of time it will take April to paint four rooms
Here is my equation:
(1/10) + (1/A) = 1/6
Is this correct?
Click here to see answer by greenestamps(13219) |
Question 1208959: 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?
Let A = length of time it will take April to paint four rooms
Here is my equation:
(1/10) + (1/A) = 1/6
Is this correct?
Click here to see answer by ikleyn(52955) |
Question 1208958: It takes an HP LaserJet 1300 laser printer 10 minutes longer to complete a 600-page print job by itself than it takes an HP LaserJet 2420 to complete the same job by itself. Together, the two printers can complete the job in 12 minutes. How long does it take for each printer to complete the print job alone? What is the speed of each printer?
Click here to see answer by ikleyn(52955) |
Question 1208470: A certain job can be done by 72 men in 100 days. There were 80 men at the start of the project but after 40 days, 30 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job?
Click here to see answer by Edwin McCravy(20067)  |
Question 1208470: A certain job can be done by 72 men in 100 days. There were 80 men at the start of the project but after 40 days, 30 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job?
Click here to see answer by math_tutor2020(3822) |
Question 1208470: A certain job can be done by 72 men in 100 days. There were 80 men at the start of the project but after 40 days, 30 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job?
Click here to see answer by greenestamps(13219) |
Question 1208470: A certain job can be done by 72 men in 100 days. There were 80 men at the start of the project but after 40 days, 30 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job?
Click here to see answer by ikleyn(52955) |
Question 1208469: Working alone, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?
Click here to see answer by ikleyn(52955) |
Question 455508: The number of hours h that it takes m men to assemble x machines varies directly as the number of machines and inversely as the number of men. If four men can assemble 12 machines in four hours, how many men are needed to assemble 36 machines in eight hours?
Click here to see answer by mccravyedwin(412)  |
Question 1207799: I have been answering textbook math questions for over 20 years. It is terribly embarrassing for me to admit that in all those years solving word problems have been a nightmare. I am sure most students agree that the wording is word problems are not always clear and precise.
Here is one:
Two pumps of different sizes, working together, can empty a fuel tank in 5 hours.The larger pump can empty this tank in 4 hours less than the smaller one. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
Together two pumps can do the job in 5 hours.
I understand this:
Pump 1 + pump 2 = 5 hours.
Is this right?
Smaller pump = x
Larger pump = x - 4
Is this right?
Honestly, I now find myself guessing my way to an equation.
Here it is:
(1/x) + 1/(x - 4) = 5
If my equation and reasoning is wrong, explain why it is wrong.
Thanks
Click here to see answer by ikleyn(52955) |
Question 1207799: I have been answering textbook math questions for over 20 years. It is terribly embarrassing for me to admit that in all those years solving word problems have been a nightmare. I am sure most students agree that the wording is word problems are not always clear and precise.
Here is one:
Two pumps of different sizes, working together, can empty a fuel tank in 5 hours.The larger pump can empty this tank in 4 hours less than the smaller one. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
Together two pumps can do the job in 5 hours.
I understand this:
Pump 1 + pump 2 = 5 hours.
Is this right?
Smaller pump = x
Larger pump = x - 4
Is this right?
Honestly, I now find myself guessing my way to an equation.
Here it is:
(1/x) + 1/(x - 4) = 5
If my equation and reasoning is wrong, explain why it is wrong.
Thanks
Click here to see answer by mccravyedwin(412) |
Question 1207799: I have been answering textbook math questions for over 20 years. It is terribly embarrassing for me to admit that in all those years solving word problems have been a nightmare. I am sure most students agree that the wording is word problems are not always clear and precise.
Here is one:
Two pumps of different sizes, working together, can empty a fuel tank in 5 hours.The larger pump can empty this tank in 4 hours less than the smaller one. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
Together two pumps can do the job in 5 hours.
I understand this:
Pump 1 + pump 2 = 5 hours.
Is this right?
Smaller pump = x
Larger pump = x - 4
Is this right?
Honestly, I now find myself guessing my way to an equation.
Here it is:
(1/x) + 1/(x - 4) = 5
If my equation and reasoning is wrong, explain why it is wrong.
Thanks
Click here to see answer by MathTherapy(10560)  |
Question 1207799: I have been answering textbook math questions for over 20 years. It is terribly embarrassing for me to admit that in all those years solving word problems have been a nightmare. I am sure most students agree that the wording is word problems are not always clear and precise.
Here is one:
Two pumps of different sizes, working together, can empty a fuel tank in 5 hours.The larger pump can empty this tank in 4 hours less than the smaller one. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
Together two pumps can do the job in 5 hours.
I understand this:
Pump 1 + pump 2 = 5 hours.
Is this right?
Smaller pump = x
Larger pump = x - 4
Is this right?
Honestly, I now find myself guessing my way to an equation.
Here it is:
(1/x) + 1/(x - 4) = 5
If my equation and reasoning is wrong, explain why it is wrong.
Thanks
Click here to see answer by timofer(111) |
Question 1207799: I have been answering textbook math questions for over 20 years. It is terribly embarrassing for me to admit that in all those years solving word problems have been a nightmare. I am sure most students agree that the wording is word problems are not always clear and precise.
Here is one:
Two pumps of different sizes, working together, can empty a fuel tank in 5 hours.The larger pump can empty this tank in 4 hours less than the smaller one. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
Together two pumps can do the job in 5 hours.
I understand this:
Pump 1 + pump 2 = 5 hours.
Is this right?
Smaller pump = x
Larger pump = x - 4
Is this right?
Honestly, I now find myself guessing my way to an equation.
Here it is:
(1/x) + 1/(x - 4) = 5
If my equation and reasoning is wrong, explain why it is wrong.
Thanks
Click here to see answer by greenestamps(13219) |
Question 1207751: Patrick, 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?
Let me see.
Patrick = 1/10
April = 1/x
Together = 1/6
(1/10) + (1/x) = (1/6)
Is this the correct equation?
Click here to see answer by greenestamps(13219) |
Question 1207751: Patrick, 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?
Let me see.
Patrick = 1/10
April = 1/x
Together = 1/6
(1/10) + (1/x) = (1/6)
Is this the correct equation?
Click here to see answer by math_tutor2020(3822) |
Question 1207751: Patrick, 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?
Let me see.
Patrick = 1/10
April = 1/x
Together = 1/6
(1/10) + (1/x) = (1/6)
Is this the correct equation?
Click here to see answer by ikleyn(52955) |
Question 1207767: 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 begin emptying this pool.After two hours, the 2-hp pump breaks down. How long will it take the larger pump to empty the pool?
Click here to see answer by mccravyedwin(412) |
Question 1207767: 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 begin emptying this pool.After two hours, the 2-hp pump breaks down. How long will it take the larger pump to empty the pool?
Click here to see answer by ikleyn(52955) |
Question 1207767: 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 begin emptying this pool.After two hours, the 2-hp pump breaks down. How long will it take the larger pump to empty the pool?
Click here to see answer by math_tutor2020(3822) |
Question 1207767: 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 begin emptying this pool.After two hours, the 2-hp pump breaks down. How long will it take the larger pump to empty the pool?
Click here to see answer by mananth(16946)  |
Question 1207767: 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 begin emptying this pool.After two hours, the 2-hp pump breaks down. How long will it take the larger pump to empty the pool?
Click here to see answer by josgarithmetic(39633) |
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