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

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Question 1094216: using 2 tractors a farmer can plough a piece of land in 10 days .The farmer uses 2 tractors for the first 4 days and then hires a third tractor.How many days does it take to plough the piece of land.
Click here to see answer by josgarithmetic(39613)

Question 1094259: An airplane travels 2040 miles in the same time that a car travels 210 miles. If the rate of the plane is 366 miles per hour faster than the rate of the car, find the rate of the plane.
Click here to see answer by jorel1380(3719)

Question 1094296: A 10-quart radiator contains a 40% antifreeze solution. How much of the solution needs to be drained out and replaced with pure antifreeze in order to raise the solution to 70% antifreeze?
Click here to see answer by josmiceli(19441)

Question 1094297: How many liters of a 70% acid solution must be added to 12 liters of a 20% acid solution to produce a 40% acid solution?
Click here to see answer by Alan3354(69443)

Question 1094297: How many liters of a 70% acid solution must be added to 12 liters of a 20% acid solution to produce a 40% acid solution?
Click here to see answer by ikleyn(52751)

Question 1094391: Ten men working six hours a day takes 12 days to complete the job.How long will it take eight men working 12 hours a day to complete the same job?

Click here to see answer by josgarithmetic(39613)

Question 1094523: Machine A can photocopy 1000 pieces of a single file in 5 hours,
while Machine B can photocopy 1000 pieces of the same file in 4
hours. How long will it take the two machines, both working
together to photocopy 1,600 pieces of a file?
please include full solution for future self-study
Thank you!!
Click here to see answer by greenestamps(13195)

Question 1094573: The first coat of paint for the outside of a building requires 1 liter of paint for each 10 meters squared. The second cost requires 1 liter for ever 15 meters squared. If the paint costs $4.75 per liter, what will be the cost of two coats of paint for the four outside walls of a building 20 meters long, 12 meters wide, and 6 meters high?
Click here to see answer by addingup(3677)

Question 1094640: A team averages 15 square feet per hour (just framing). Their next job totals 2000 square feet. How many hours will their next job take them?
Click here to see answer by josmiceli(19441)

Question 1094641: what is the slope of a binomial 2x+3
Click here to see answer by Alan3354(69443)

Question 1094672: The ratio of the income to the saving of a man is 3:2 find the expenditure if the saving is rs 7600.
Click here to see answer by richwmiller(17219)

Question 1094827: Rahim can do certain work in 30 hours. If he and his son work together, the time taken is 20 hours. The son working in the same capacity as when he was working with his father, can finishing the work in
Click here to see answer by josgarithmetic(39613)

Question 1094829: Khalid loses 1/3rd of his money in the first game, 3/5ths of the remainder in the second and 4/7ths of the rest in the third. Thus he is left with . . . . .. ths of his money
Click here to see answer by richwmiller(17219)

Question 1094895: You have two lazy friends that offer to help paint your house. You can paint the house in 10 hours jeff can paint it in 12 and andy can paint it in 18. You work the entire time but Jeff ended up taking an hour break and Andy took a 2-hour break. If you started painting at 8 am what time did you finish?
Thanks for helping!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1095020: The time t required to empty a wastewater-holding tank is inversely proportional to the sectional area A. If it takes 2.0 hours to empty a tank with a drainage pipe of A = 48in^2, how long will it take to empty a tank with A = 68in^2
Click here to see answer by josmiceli(19441)

Question 1095138: Amy can paint a room in 3 hours while Tim can paint (the same sized) room in 4 hours. They join forces and decide to paint rooms together. If they charge $50 per hour for their work and will paint 481 rooms this year, how much money will they earn?
Click here to see answer by jorel1380(3719)

Question 1095352: A plane can fly 300 miles in the same time as it takes a car to go 100 miles. If the car travels 100 mph slower than the plane, find the speed of the plane.
Click here to see answer by ikleyn(52751)

Question 1095358: Two bricklayers, Alan and David, each place 30 bricks per hour. Alan worked three times as many hours as David, and the two of them placed a total of 600 bricks. How many bricks did David lay?
Click here to see answer by josgarithmetic(39613)

Question 1095356: a plan can fly 265 miles downward in the same amount of time as it can travel 175 miles upwind. Find the velocity of the wind if the plane can fly 220 mph in still air.
Click here to see answer by josgarithmetic(39613)

Question 1095362:
Click here to see answer by ikleyn(52751)

Question 1095537: stephen can deliver 14 newspapers in 20 minutes. how many minutes will it take him to deliver 210 papers?

Click here to see answer by josmiceli(19441)

Question 1095920: two teams of construction workers had to renovate for 12 days. after 8 days during which the two teams worked together, the first team was assigned a different job. the second team continued to work for 7 more days until the renovation was complete. how long did will it take each team to renovate if they werent working together?
Click here to see answer by josgarithmetic(39613)

Question 1096035: When water is turned on and passes through a small hose, your pool can be filled in 8 hours. When the water is turned on at two spigots and passes through both the small and large hose, the pool can be filled in 4 hours. How long would it take to fill the pool using only the large hose?
My work:
L = Large hose
1/8 + 1/L = 1/4
1/4 - 1/8 = 1/L I will multiply both sides by 8L.
2L - L = 8
L = 8
It still seems wrong.
Click here to see answer by ikleyn(52751)

Question 1096268: In
7
days, a group of workers can plant
21
acres.
What is their rate in acres per day?

Click here to see answer by jorel1380(3719)

Question 1096317: If 30 assemblers can complete a certain job in 4 hours, how long will the same job take if the number of assemblers is cut back to 12?
Please help
Click here to see answer by josgarithmetic(39613)

Question 1096738: A pump is used to fill empty tanks with oil. It takes 27 minuets to fill 6 tanks when the flow rate is 5 litres per second.
Calculate how long it would take to fill 8 of these tanks when the flow rate is 9 litres per second.
Click here to see answer by Alan3354(69443)

Question 1096651: Souvenir hats, T-Shirts and jackets cost $140. Two hats, 2 T-Shirts and 2 Jackets cost $170. One hat, 3 T-shirts and 2 jackets cost $180. Find the prices of the individual items.
Click here to see answer by ikleyn(52751)

Question 1096773: One pipe can fill a tank in 5 days. If Pipe A and Pipe B can fill the tank in 1.5 days. How long does it take for Pipe B alone to fill the tank?
Click here to see answer by josgarithmetic(39613)

Question 271110: Jeff can weed the garden in 4 h. His wife Brenda takes the same amount of time. After they worked together for 1 h, their son Rory helped them finish in 1/2 h. How long would it have taken Rory by himself? this is another problem that I'm having difficulty with. I know the answer is 2 hrs, but I'm not sure how to set up the equation.
Click here to see answer by amalm06(224)

Question 807710: If three pipes are all opened, they can fill an empty swimming pool in 3 hours. The largest pipe alone takes 1/3 the time that the smallest pipe takes and half the time the other pipe takes. How long would it take each pipe to fill the pool by itself?
Can you be a little specific because i'm really confused with this problem, thanks!
Click here to see answer by amalm06(224)

Question 1097113: if it takes 5 hours to cut 240 square meters of grass how many hours to cut 16020 square meters
Click here to see answer by josgarithmetic(39613)

Question 1097168: Together, Andy and Ben can re-roof a certain house in six days. When Ben works alone, it takes him 9 days longer than when Andy works by himself. How long does it take each person to re-roof the same house independently?

Click here to see answer by josmiceli(19441)

Question 1097184: If water is draining a pool at a rate of 5t gallons per minute write an expression giving the amount of water drained after t hours. Write an equation which expresses when the pool has been drained if the total volume of the pool is 500 gallons.
Click here to see answer by Alan3354(69443)

Question 1097268: john drove 112 miles in 1.5 hours what was his speed ????

Click here to see answer by ikleyn(52751)

Question 1097641: If the larger of two numbers is divided by the smaller, the quotient is 7 and the remainder is 19. But if 3 times the greater is divided by twice the smaller, the quotient is 11 and the remainder is 19. What are the numbers?
Click here to see answer by ikleyn(52751)

Question 1097714: A carpenter and a helper can do a certain job in 21 days. If the carpenter works 1.50 times as fast as the helper, how long would it take each, working alone, to do the job?
A farmer bought 100 ha of land, part at $1850 per hectare and part at $2250

paying for the whole $201000. How much land was there in each part?
Do not round intermediate results. Round only final answers. Round to the whole.

ha at $1850/ha
ha at $2250/ha
Click here to see answer by ikleyn(52751)

Question 1097640: farmer bought 100 ha of land, part at $1850 per hectare and part at $2250

paying for the whole $217000. How much land was there in each part?
Do not round intermediate results. Round only final answers. Round to the whole.
Click here to see answer by ikleyn(52751)

Question 1097639: A certain concrete mixture contains 5.00% cement and 7.00% sand ,How many kilograms of this mixture and how many kilograms of sand should be combined with 255 kg of cement to make a batch that is 16.0% cement and 18.0% sand? Carry out all calculations exactly and round to three significant digits final answers only.

Click here to see answer by ikleyn(52751)

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