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 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?
Click here to see answer by checkley77(12844)

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).

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

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?
Click here to see answer by checkley77(12844)

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?
Click here to see answer by Alan3354(69443)

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?

Click here to see answer by scott8148(6628)

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

Question 164394: 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(2198)

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
Click here to see answer by ptaylor(2198)

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
Click here to see answer by checkley77(12844)

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.
Click here to see answer by checkley77(12844)

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?
Click here to see answer by ptaylor(2198)

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.

Click here to see answer by stanbon(75887)

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?
Click here to see answer by ptaylor(2198)

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
Click here to see answer by josmiceli(19441)

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?
Click here to see answer by Mathtut(3670)

Question 165659: 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?
Click here to see answer by stanbon(75887)

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.
Click here to see answer by ptaylor(2198)

Question 165926: 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(3670)

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?
Click here to see answer by stanbon(75887)

Question 166720: 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(2983)

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 � hours. How quickly can all three fill the pool together?
Click here to see answer by ptaylor(2198)

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?
Click here to see answer by ptaylor(2198)

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

Question 167240: How many hours are there between 8:30 am today and 3:15am tomorrow?
Click here to see answer by Alan3354(69443)

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?
Click here to see answer by ptaylor(2198)

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?
Click here to see answer by nerdybill(7384)

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!

Click here to see answer by stanbon(75887)

Question 167940: 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?
Click here to see answer by josmiceli(19441)

Question 167938: 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(22740)

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?
Click here to see answer by scott8148(6628)

Question 168054: 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(22740)

Question 169590: A technologist working with an assistant can perform a certain procedure in 3.7 hours. If working alone the technologist would take 4.8 hours to complete the same procedure. How long would it take the assistant to perform the procedure if working alone? I got 16 hours ?????????????????????
Click here to see answer by gonzo(654)

Question 169634: A circular pool is 46 feet in diameter and has a flag stone walk around it that is 4 feet wide. Find the area of the walk. Express the answer in terms of .
Click here to see answer by Alan3354(69443)

Question 170060: (GIVE THE ANSWER IN HOURS AND MINUTES)
BILL CAN BUILT A BOOKCASE IN 6 HOURS, BUT IT TAKES HIS FRIEND, DAVID, ONLY 4 HOURS TO BUILD THE SAME BOOKCASE. HOW LONG WILL IT TAKE THEM TO BUILD THE BOOKCASE IF THEY WORK TOGETHER?
Click here to see answer by ptaylor(2198)

Question 170437: 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 fraction of the barn that they complete in one day by working together. evaluate the expression for x=5. thank you!
Click here to see answer by Mathtut(3670)

Question 170696: ALICE CAN PAINT A ROOM IN 3 HOUR. PAT CAN PAINT A ROOM IN 2 HOURS. HOW LONG WILL IT TAKE THEM TO PAINT THE ROOM WORKING TOGETHER? PLEASE THIS IS DUE ON THURRDAY
Click here to see answer by Alan3354(69443)

Question 170724: I need help with this problem. I am not sure what formula to use.
An aquarium tank can hold 540 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 60 minutes. The second pipe can fill the tank in 90 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?
Click here to see answer by stanbon(75887)

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