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

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Question 168054This question is from textbook algebra and Trigonometry

: One crew can detassel a field of corn in 6 days. Another crew can do the same job in 4 days. If the slower crew works alone for the first two days of detasseling and then is joined by the faster crew, how long will it take the two crews to finish?This question is from textbook algebra and Trigonometry

: One crew can detassel a field of corn in 6 days. Another crew can do the same job in 4 days. If the slower crew works alone for the first two days of detasseling and then is joined by the faster crew, how long will it take the two crews to finish?
Click here to see answer by ankor@dixie-net.com(4503)

Question 168043: Grain pouring from a chute at the rate of 8 feet cubed per minute forms a conical pile whose altitude is always twice its radius. How fast is the altitude of the pile increasing when the pile is 6 feet high?: Grain pouring from a chute at the rate of 8 feet cubed per minute forms a conical pile whose altitude is always twice its radius. How fast is the altitude of the pile increasing when the pile is 6 feet high?
Click here to see answer by scott8148(2725)

Question 167938This question is from textbook

: The intake pipe can fill a certain tank in 6 h when the outlet pipe is closed, but with the outlet pipe open it takes 9 h. How long would it take to the outlet pipe to empty a full tank?This question is from textbook

: The intake pipe can fill a certain tank in 6 h when the outlet pipe is closed, but with the outlet pipe open it takes 9 h. How long would it take to the outlet pipe to empty a full tank?
Click here to see answer by ankor@dixie-net.com(4503)

Question 167940This question is from textbook

: Helped by a strong jet stream, a Los Angeles-to-Boston plane flew 10% faster than usual and made the 4400 km trip in 30 minutes less time than usual. At what speed does the plane usually fly?This question is from textbook

Question 167649: 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 2 hours, the 2 hp pump breaks down. how long will it take the larger pump to finish emptying the pool? --- i get that for the entire time, minus the 2hp pump breaking down, the equation would be 1/5+1/8=1/t, 8t+5t=40, 13t=40, t=40/13=3.08hours... but i do not know how to take into consideration the 2hp pump breaking down. any help would be much appreciated!
: 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 2 hours, the 2 hp pump breaks down. how long will it take the larger pump to finish emptying the pool? --- i get that for the entire time, minus the 2hp pump breaking down, the equation would be 1/5+1/8=1/t, 8t+5t=40, 13t=40, t=40/13=3.08hours... but i do not know how to take into consideration the 2hp pump breaking down. any help would be much appreciated!

Click here to see answer by stanbon(18788)

Question 167528: A cyclist travels 60 km. If he reduces his speed by 2 km/h, he will take one hour longer to complete the trip. What was the original speed of the cyclist?: A cyclist travels 60 km. If he reduces his speed by 2 km/h, he will take one hour longer to complete the trip. What was the original speed of the cyclist?
Click here to see answer by nerdybill(1049)

Question 167380: A and B can do a piece of work in 42 days, B and C in 31 days, and A and C in 20 days. Working together, how many days can all of them finish the work?: A and B can do a piece of work in 42 days, B and C in 31 days, and A and C in 20 days. Working together, how many days can all of them finish the work?
Click here to see answer by ptaylor(1326)

Question 167240: How many hours are there between 8:30 am today and 3:15am tomorrow?: How many hours are there between 8:30 am today and 3:15am tomorrow?
Click here to see answer by Alan3354(1218)

Question 166983: this in rational equations in word problems.
Jay can clean the house in 6 hours. After Jay and Jim have both been cleaning for an hour, they are joined by Jen and they completed the cleaning in 2 more hours. If it takes Jim 10 hours to clean the house alone, how long would it take Jen to do the job alone?: this in rational equations in word problems.
Jay can clean the house in 6 hours. After Jay and Jim have both been cleaning for an hour, they are joined by Jen and they completed the cleaning in 2 more hours. If it takes Jim 10 hours to clean the house alone, how long would it take Jen to do the job alone?
Click here to see answer by ankor@dixie-net.com(4503)

Question 166866: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it? : If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
Click here to see answer by ptaylor(1326)

Question 166862: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? : Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Click here to see answer by ptaylor(1326)

Question 166720This question is from textbook
: A student did a word processing job for $24. It took him 1hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job? PLEASE HELP ME UNDERSTAND WORD PROBLEMS.This question is from textbook
: A student did a word processing job for $24. It took him 1hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job? PLEASE HELP ME UNDERSTAND WORD PROBLEMS.
Click here to see answer by vleith(1162)

Question 166515: Barry can do a certain job in 3 hours, whereas Sanchez 5 hours to do the same job. How long would it take them to do the job working together?: Barry can do a certain job in 3 hours, whereas Sanchez 5 hours to do the same job. How long would it take them to do the job working together?
Click here to see answer by stanbon(18788)

Question 165926: What is the radius of the pool (V=3r squared) if its volume is:
a. 30m cubed
b. 65m cubed: What is the radius of the pool (V=3r squared) if its volume is:
a. 30m cubed
b. 65m cubed
Click here to see answer by Mathtut(373)

Question 165899: A can do a certain job in 4 hrs, B in 6 hrs, C in 8 hrs. How long will it take to do the job if A&B work in 1 hr & B&C finish the job.: A can do a certain job in 4 hrs, B in 6 hrs, C in 8 hrs. How long will it take to do the job if A&B work in 1 hr & B&C finish the job.
Click here to see answer by ptaylor(1326)

Question 165659This question is from textbook algebra

: A messanger left a construction site and traveled by jeep at 51km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messanger travel to overtake her in one hour?This question is from textbook algebra

Question 165659This question is from textbook algebra

Question 165572: if jeanne can type 20 pages in 40 minutes and jim can type 20 pages in 30 minutes, how long will it take them to type 20 pages working together?: if jeanne can type 20 pages in 40 minutes and jim can type 20 pages in 30 minutes, how long will it take them to type 20 pages working together?
Click here to see answer by ptaylor(1326)

Question 165560: willie earns $6 an hour for the first 40 hours, then $9 an hour for overtime.How many hours must he work in order to make $375?
answer:x=55, willie must work 55 hours.
need a break down of how my text book got 55 hours or x=55: willie earns $6 an hour for the first 40 hours, then $9 an hour for overtime.How many hours must he work in order to make $375?
answer:x=55, willie must work 55 hours.
need a break down of how my text book got 55 hours or x=55
Click here to see answer by Mathtut(373)

Question 165332: Peter mows a lawn in 40 minutes. John moes the lawn in 60 minutes. How long will it take them to mow the lawn together?: Peter mows a lawn in 40 minutes. John moes the lawn in 60 minutes. How long will it take them to mow the lawn together?
Click here to see answer by ptaylor(1326)

Question 165008: If my sister takes twice as long as I to do her taxes but we can do her taxes together in 10 hours, how long will it take me to do her taxes alone?
I tried to do it and I came up with 2x + x = 10, 3x = 10, x = 3.33
I know this is not correct because it should take me longer than 10 hours and I think the answer is 13.33 hours for me to do her taxes but I don't know how to get the answer. I am missing something.
: If my sister takes twice as long as I to do her taxes but we can do her taxes together in 10 hours, how long will it take me to do her taxes alone?
I tried to do it and I came up with 2x + x = 10, 3x = 10, x = 3.33
I know this is not correct because it should take me longer than 10 hours and I think the answer is 13.33 hours for me to do her taxes but I don't know how to get the answer. I am missing something.

Click here to see answer by stanbon(18788)

Question 164680: Two printing presses, working together, can complete a job in 2 hours. If one press requires 6 hours to do the job alone, how many hours would the second press ned to complete the job alone?: Two printing presses, working together, can complete a job in 2 hours. If one press requires 6 hours to do the job alone, how many hours would the second press ned to complete the job alone?
Click here to see answer by ptaylor(1326)

Question 164481: James can stuff 1000 envelopes in 5 hours. Susan can stuff 1000 envelopes in 3 hours. How long will it take to stuff 1000 envelopes if they worked together?

answer:it will take 1 7/8 hours to stuff 1,000 envelopes working together
need a break down of how my book got 1 7/8 hours to stuff 1,000 envelopes together : James can stuff 1000 envelopes in 5 hours. Susan can stuff 1000 envelopes in 3 hours. How long will it take to stuff 1000 envelopes if they worked together?

answer:it will take 1 7/8 hours to stuff 1,000 envelopes working together
need a break down of how my book got 1 7/8 hours to stuff 1,000 envelopes together
Click here to see answer by themathprof(21)

Question 164479: An oil tanker can be filled in 10 hours from one pipe. It can be filled by another pipe in 8 hrs. How long will it take to fill the tank if both pipelines are used .

answer: it will take 2 11/12 hours to fill the storage tank using both pipes
need a breakdown of how my book got 2 11/12 hours to fill the storage tank using both pipes as the answer : An oil tanker can be filled in 10 hours from one pipe. It can be filled by another pipe in 8 hrs. How long will it take to fill the tank if both pipelines are used .

answer: it will take 2 11/12 hours to fill the storage tank using both pipes
need a breakdown of how my book got 2 11/12 hours to fill the storage tank using both pipes as the answer
Click here to see answer by ptaylor(1326)

Question 164478: An Oil Tanker can be filled in 10 hrs from one pipe. It can be filled by another pipeline in 8 hrs. How long will it take to fill the tank if both pipe lines are used.
answer: it will take 4 4/9 hoursto fill the tanker using both pipes.

need a break down of how my book got 4 4/9 hours to fill the tanker using both pipes. : An Oil Tanker can be filled in 10 hrs from one pipe. It can be filled by another pipeline in 8 hrs. How long will it take to fill the tank if both pipe lines are used.
answer: it will take 4 4/9 hoursto fill the tanker using both pipes.

need a break down of how my book got 4 4/9 hours to fill the tanker using both pipes.
Click here to see answer by checkley77(3412)

Question 164394This question is from textbook Elementary and Intermediate
: 90.) Solve each problem
Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x = 5.
This question is from textbook Elementary and Intermediate
: 90.) Solve each problem
Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x = 5.

Click here to see answer by ptaylor(1326)

Question 163480: An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. If the air speed of the plane was 600 kilometers per hour, how fast was the wind blowing? (Assume that the wind direction was parallel to the flight path and constant all day).: An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. If the air speed of the plane was 600 kilometers per hour, how fast was the wind blowing? (Assume that the wind direction was parallel to the flight path and constant all day).
Click here to see answer by ankor@dixie-net.com(4503)

Question 162357: PIPE A CAN FILL A POOL IN 12 HOURS. AFTER IT HAS BEEN USED FOR 4.5 HOURS.
PIPE B IS ALSO USED; AND THE POOL IS FILLED IS ANOTHER 4.5 HOURS. HOW LONG WOULD IT TAKE FOR PIPE B TO FILL THE POOL BY ITSELF.
PIPE A RATE 1/12
PIPE B RATE = Z
PIPE A RUNS FOR T WHICH IS 4.5 + 4.5 = 9
PIPE B RUNS T - 4.5

T*R = w
T(1/12) + T-4.5(1/Z)=1
9(1/12) + 9-4.5(1/Z)=1
9/12 + 4.5/Z =1
4.5/Z = 1-9/12
4.5/Z = 3/12
4.5/Z = 1/4
Z = 18 HRS
WHERE DID GO WRONG?
: PIPE A CAN FILL A POOL IN 12 HOURS. AFTER IT HAS BEEN USED FOR 4.5 HOURS.
PIPE B IS ALSO USED; AND THE POOL IS FILLED IS ANOTHER 4.5 HOURS. HOW LONG WOULD IT TAKE FOR PIPE B TO FILL THE POOL BY ITSELF.
PIPE A RATE 1/12
PIPE B RATE = Z
PIPE A RUNS FOR T WHICH IS 4.5 + 4.5 = 9
PIPE B RUNS T - 4.5

T*R = w
T(1/12) + T-4.5(1/Z)=1
9(1/12) + 9-4.5(1/Z)=1
9/12 + 4.5/Z =1
4.5/Z = 1-9/12
4.5/Z = 3/12
4.5/Z = 1/4
Z = 18 HRS
WHERE DID GO WRONG?

Click here to see answer by scott8148(2725)

Question 161551: A pump fills a pool in 4 hours. The pool can drain in 1 hour. How long will it take to fill the pool if the drain is left open?: A pump fills a pool in 4 hours. The pool can drain in 1 hour. How long will it take to fill the pool if the drain is left open?
Click here to see answer by Alan3354(1218)

Question 161429: John takes three times longer than Andrew to peel 400 pounds of apples. Working together they can peel 400 pounds of apples in 8 hours. How long would it take John to peel them alone?: John takes three times longer than Andrew to peel 400 pounds of apples. Working together they can peel 400 pounds of apples in 8 hours. How long would it take John to peel them alone?
Click here to see answer by checkley77(3412)

Question 161172: The radiator of a car holds 16 quarts of liquid of which 8 are antifreeze. The radiator has a leak and loses 2 quarts of liquid each week. Every week, 2 quarts of water are added. After 3 weeks how much antifreeze is left in the radiator? (explain your reasoning, just the answer is not sufficient).
: The radiator of a car holds 16 quarts of liquid of which 8 are antifreeze. The radiator has a leak and loses 2 quarts of liquid each week. Every week, 2 quarts of water are added. After 3 weeks how much antifreeze is left in the radiator? (explain your reasoning, just the answer is not sufficient).

Click here to see answer by ankor@dixie-net.com(4503)

Question 161109: Elliot paid $1.50 a dozen for some flowers. he sold all but 5 dozen of them for $2 a dozen, making a profit of $18. how many dozen flowers did he buy?: Elliot paid $1.50 a dozen for some flowers. he sold all but 5 dozen of them for $2 a dozen, making a profit of $18. how many dozen flowers did he buy?
Click here to see answer by checkley77(3412)

Question 160986: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together?
Thanks for your help!
J: One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together?
Thanks for your help!
J
Click here to see answer by ankor@dixie-net.com(4503)

Question 160801: A spherical balloon is being inflated. Estimate the rate at which its surface area is changing with respect to the radius when the radius measures 20 cm.
Answer: 160pi cm^2/cm
How do I get it though?: A spherical balloon is being inflated. Estimate the rate at which its surface area is changing with respect to the radius when the radius measures 20 cm.
Answer: 160pi cm^2/cm
How do I get it though?
Click here to see answer by Fombitz(1744)

Question 160623: How would I solve this as well as write it out?
"A small engineering company has two machines, one which produces 30 components per and another which produces 40 components per hour. Both machines were in operation for different periods of time and totaled 15 hours of operation. If 545 components were produced during the total number of hours of operations, determine how many hours each machine was operating.": How would I solve this as well as write it out?
"A small engineering company has two machines, one which produces 30 components per and another which produces 40 components per hour. Both machines were in operation for different periods of time and totaled 15 hours of operation. If 545 components were produced during the total number of hours of operations, determine how many hours each machine was operating."
Click here to see answer by ptaylor(1326)

Question 160373: My question is on solving a word problem. I dont if you can help but this is the problem:
aA vertical cylindrical storage tank, with diameter 20 feet, is filled with oil to a depth of 40 feet. Sometime later, the oil is drained, decreasing the deptht a rate of 8 inches per hour. Write an equation for the volume of oil (ft^3) remaining in the tank t hours later as a function of t. Draw a geometrically correct sketch, supporting your solution.
The only thing i can pull out of this problem is that the volume of a cylinder is V = πr^2h. If you could help it would be greatly appreciated.: My question is on solving a word problem. I dont if you can help but this is the problem:
aA vertical cylindrical storage tank, with diameter 20 feet, is filled with oil to a depth of 40 feet. Sometime later, the oil is drained, decreasing the deptht a rate of 8 inches per hour. Write an equation for the volume of oil (ft^3) remaining in the tank t hours later as a function of t. Draw a geometrically correct sketch, supporting your solution.
The only thing i can pull out of this problem is that the volume of a cylinder is V = πr^2h. If you could help it would be greatly appreciated.
Click here to see answer by ankor@dixie-net.com(4503)

Question 160583: There are two water hoses. One fills a bucket in 30 min, the other hose fills at a rate of 45 min. How long to fill a bucket using both buckets? How do I set this up in an equation?
: There are two water hoses. One fills a bucket in 30 min, the other hose fills at a rate of 45 min. How long to fill a bucket using both buckets? How do I set this up in an equation?

Click here to see answer by dunlapbr(1)

Question 160575: if it takes Jerry 5 weeks to complete a job and Sam 3 weeks, if they work together how long will it take: if it takes Jerry 5 weeks to complete a job and Sam 3 weeks, if they work together how long will it take
Click here to see answer by ptaylor(1326)

Question 160380: One pipe can fill a tub in 12 minutes. Another pipe can fill it in only 8 minutes. How long would it take both pipes to fill the tub?: One pipe can fill a tub in 12 minutes. Another pipe can fill it in only 8 minutes. How long would it take both pipes to fill the tub?
Click here to see answer by checkley77(3412)