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 387793: A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to reach 368,640?
Click here to see answer by lwsshak3(6460)

Question 384732: A, B, and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?
Click here to see answer by lwsshak3(6460)

Question 387153: It takes jerry twice as long as sue to clean up the kitchen. if sure can clean up the kitchen in 1/3 hour, how long would it take to clean up the kitchen if she works together with jerry?
Click here to see answer by lwsshak3(6460)

Question 377051: Three painters, Beth, Bill, and Edie working together can paint a home in 10 hours. Bill and Edie together have painted a similiar house in 15 hours. One day, all three worked on this same kind of house for 4 hours, after which Edie left. Beth and Bill required 8 more hours to finish. Assuming no gain or loss in efficiency, how long should it take each person to complete such a job alone?
Click here to see answer by lwsshak3(6460)

Question 388849: Pump 1 can empty a tank in 4 hours while Pump 2 can empty the same tank in 3 hours. How long would it take to empty the tank if both pumps worked together?
Click here to see answer by stanbon(57219)

Question 388850: If it takes Jeremy 18 hours to dig a 2 meter by 2 meter by 2 meter hole, how many hours would it take three men (each working at the same rate as Jeremy) to dig a 4 meter by 4 meter by 4 meter hole?
A. 12 B. 18 C. 24 D. 36 E. 48

Click here to see answer by stanbon(57219)

Question 388885: A boat can travel at a speed of 15 kph in still water. The boat travels 40 km downstream on a river at the same time it takes to travel 25 km upstream. What is the speed of the river?
Click here to see answer by mananth(12270)

Question 388901: The horsepower produced by a steam engine varies directly as the number of revolutions per minute of its operation. if 1200 horsepower was produced when a machine was operated at 150 revolutions per minute, find the number of horsepower it will produce when it will operate at 170 revolutions per minute
Click here to see answer by stanbon(57219)

Question 388900: It takes josh 2/3 as long as it takes beth to paint a wall. if together josh and beth would take 12 hours, how long would it take beth to do the work alone?
Click here to see answer by stanbon(57219)

Question 388990: This is my math homework :
You want to go with your sister to the museum to see the dinosaur exhibit. The museum has 3 different plans to pay for going to see the dinosaur.
Plan A: Pay $3.00 per person to visit the museum
Plan B: Monthly membership is $8.00 for each person but you can go as many times as you like during the month.
Plan C: A family membership for a month is $17.00. Everyone in your family can go as often as they like for a month.
Its asking me to pick a plan that'll save more money
Plan A: i divided $3.00 by 2 = $1.50
Plan B: Multiplied $8.00 by 2 - $16.00 divided by 31
and i got stuck. can you help me

Click here to see answer by stanbon(57219)

Question 389027: the denominator of the fraction is 2 more than the numerator. if 1 is subtracted from both numerator and denominator, the resulting fraction has a value of 1/2. find the original fraction
. Be specific in explaining please?
Click here to see answer by Fombitz(13828)

Question 389191: The amount of pollutants A entering the atmosphere is directly proportional to the population P living in an?
area .If 25 000 tons of pollutants enter the atmosphere in an area with a population of 17 750, how many tons of pollutants enter the atmosphere in Manila with a population of 2 450 500?
with solutions please
Click here to see answer by mananth(12270)

Question 389193: Three pipes P1,P2,P3 fill a tank in 6 houres.If we closed P3, both pipes P1 AND P2 will fill the tank in 6 houres. how long does it take for P3 alone to fill the tank ?
Click here to see answer by josmiceli(9649)

Question 389207: Copier A can make 300 photocopies of a page in 15 minutes.COpier B can do the same job in 12 minutes.If both copiers work together,how long will it take them to do the job?
Click here to see answer by mananth(12270)

Question 389302: pete the painter can paint 5/6 of a room in 90 minutes. how many minutes will it take pete to paint the entire room?
Click here to see answer by josmiceli(9649)

Question 389334: 1. It takes Bill 6 hours longer than John to plow a certain field. Together they can plow it in 4 hours. How long would it take each man alone to plow the field?

2. Using a graphing calculator find the roots of the equation to the nearest hundredth:
x^7+x^5-2x^3+3x^2-1=0
Click here to see answer by haileytucki(390)

Question 389489: It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If together Jonathan and Juancho take 12 hrs, how long would it take Juancho to do the work alone?
Click here to see answer by ankor@dixie-net.com(15624)

Question 389837: if m men can do a job in d days, how long will it take (m+r) men?
Click here to see answer by sudhanshu_kmr(1152)

Question 389844: a car travels 20 km/h faster than a truck. The car covers 360 km in 3 hours less time than the truck. Find the speed of the truck. (Show your solution)
Click here to see answer by mananth(12270)

Question 389832: twenty four men are engaged to do a piece of work in 38 days. after 10 days, 8 men stop work. in how many days can the rest finish the work? (Show Your Solution)
Click here to see answer by Alan3354(30959)

Question 390171: Working alone, Emma can clean the stable in 8 hours. If Victoria helps her,they can complete the job in 3 hours. How fast could Victoria clean the stable alone?
Click here to see answer by mananth(12270)

Question 390295: Ron and hermoine type papers for other students to pay for college. On Saturday, they worked 6 hours each an typed a total of 198 pages. On Sunday, Hermoine worked for 2 hours before Ron could join her. Together, they worked another 5 hours and typed a total of 201 pages. How many hours will it take Hermoine to type a 27 page paper if she works alon?
Click here to see answer by ptaylor(2048)

Question 390599: Solve the following problem using the 5 step method
It takes Tim 4 minutes to build a snowman and his younger brother Jim 12 minutes to build a snowman. How long will it take them to build a snowman working together?
Click here to see answer by edjones(7569)

Question 390684: Jake can paint a room in 7 hours, and Karen can paint the same room in 5 hours. How long will it take to paint the room if they work together?
Click here to see answer by solver91311(16868)

Question 391160: If it takes a bathtub ten minutes to drain and twelve minutes to empty, how long would it take the bathtub to fill if the drain was accidentally left open?
Click here to see answer by mananth(12270)

Question 391456: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. How long will it take the pipe to fill the pool if the drain is left open?

Click here to see answer by ewatrrr(10682)

Question 391839: Fred shovels snow twice as fast as Marvin. They require 16 minutes to clear the walk around their house when they work together. How long would it take Marvin to clear the walk working alone?
Click here to see answer by stanbon(57219)

Question 391838: Alan can build a brick wall in 9 hours. Carl can build the same wall in 18 hours. Mr. Alan started to build the wall, worked for 3 hours, and then stopped working. How many hours would Carl require to complete the wall?
Click here to see answer by ankor@dixie-net.com(15624)

Question 391972: Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons, and the total capacity of 8 containers of the other size is also x gallons, and x>0. in terms of x, what is the capacity, in gallons, of each of the larger containers?
a.4x b. 2x c. x/2 d. x/8 e. x/16
Click here to see answer by josmiceli(9649)

Question 392150: the difference between a positive number and its reciprocal is 99/10. find the number.

Click here to see answer by robertb(4012)

Question 392266: Working together, Larry, Moe, and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would it take Curly to paint the elephant if heworked alone?
Click here to see answer by Alan3354(30959)

Question 392480: faucet a, b, and c can fill out the pool in order in 6, 8, 12 hours. If we keep them on 3 hours there will be 3000 liters amount of water. What is the capacity of the pool?
Click here to see answer by stanbon(57219)

Question 393202: Two pumps of different sizes working together can empty a tank in 3 hours. The larger pump can empty this tank in 5 hours. How long will it take the smaller one to do the job alone? Show the 4-step process.
Click here to see answer by ankor@dixie-net.com(15624)

Question 393653: Three people can pick all the apples from five trees in five hours. How long will it take five people?
Click here to see answer by stanbon(57219)

Question 393595: suppose an average professor can do a certain job in nine hours and an average student can do the same job in six hours. if three professor and teo students work together, how long the job take?
Click here to see answer by ankor@dixie-net.com(15624)

Question 393825: tom can paint a room in 5 hours, steve can paint the same room in 10 hours and Mary can paint the same room in 20 hours. If they work together, how long will it take them to paint the room?
Click here to see answer by ewatrrr(10682)

Question 394161: A swimming pool is 15 ft by 30 ft by 5 ft. It takes 25 minutes longer to fill than to drain the pool. It can be drained at a rate of 15ft cubed per minute faster than it can be filled, what is the drainage rate?
Click here to see answer by ewatrrr(10682)

Question 394256: A lake is stocked with 1,500 young trout. If the number of the original trout alive after x years is given by the function P(x) = 1,500 e-0.4x, when will there be 300 of the original trout left? (12 points)
Click here to see answer by stanbon(57219)

Question 394253: The number of people in a town of 10,000 who have heard a rumor started by a small group of people is given by the following function: (12 points)

a. How many people were in the group that started the rumor?

b. How many people have heard the rumor after 1 day? After 5 days?

c. How long will it be until 1,000 of the people in the town have heard the rumor?
i do not understand how to solve this problem. even if you just solve a for me i would appreciate it. i dont understand what the variables stand for.
Click here to see answer by stanbon(57219)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645