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 200117: storage cabinet Mrs. Robinson has room for a storage cabinet that is 18'' wide by 24'' deep. if she calculates that she needs 15' cube of storage space, how tall must the ccabinet be?
Click here to see answer by vleith(2983)

Question 200592: If she works 8 hours a day, nancy can paint a house in 12 days. if she works only 6 hours a day , the number of days it would take her to paint the same house , working at the same rate is
a) 96 b) 16) c) 9 d) 48) e) 72
Click here to see answer by checkley77(12844)

Question 200700: 92.) Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the reminder 2.25% then how much did she invest at each rate?
100.)Ticket of Sales. Thickets for a concert were sold to adutls for $3.00 and to students for $2.00. If the total receipts were $824.00 and twice as many adult tickets were sold, then how many of each were sold?
Click here to see answer by ankor@dixie-net.com(22740)

Question 200766: pat can read at a constant rate of 400 pages per 8 hours . how many seconds does it take pat to read one page ?
Click here to see answer by nerdybill(7384)

Question 200766: pat can read at a constant rate of 400 pages per 8 hours . how many seconds does it take pat to read one page ?
Click here to see answer by rfer(16322)

Question 200899: Ann and betty work together and complete a sales report in 4 hr. It would take Betty 6 hr longer, working alone to do the job than it would Ann. How long would it take each of them to do the job working alone.
Click here to see answer by ptaylor(2198)

Question 200937: Jaclyn can complete a job in 5.5 hours. Her brother Terry can complete the job in 4.5 hours. How long will it take them working together to complete the job?
Click here to see answer by ptaylor(2198)

Question 201341: an experise nurse can do a job in 20 minutes..an unexperise nurse and a experise nurse can do a job in 12 minutes...what did the unexperise nurse do the job in...do u use w=r times t...explain please...
Click here to see answer by Alan3354(69443)

Question 201997: Respected sir,
plz help me to solve this arith problem...
1] Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?
waiting for yurs reply sir.
Thank u.
Regards
Binita.
Click here to see answer by ptaylor(2198)

Question 202013: Could you help me about this ? :
Ben can paint a house in 36 hours. Carlos can pint the same house in 24 hours. They started working together but after 12 hours Ben quit. How much time was necessary for Carlos to finish the job alone?

Click here to see answer by Earlsdon(6294)

Question 202009: I need help about:
Tow cars start from the same point travelling in opposite directions. One car average 6 mph faster than the other car. Find their speed if after 5hr they were 528 miles apart.
Click here to see answer by rfer(16322)

Question 202019: Help needed!
Steve and Paula sell pies. It takes Paula one hour longer than Steve to take a day's supply of pies. Working together, it takes them 6/5 hours to bake the pies. How long would it take Steve working alone?
I solved by this way but when I check that's not correct! :

and roots were 0.1 and -9.1
Click here to see answer by jim_thompson5910(35256)

Question 202142: A tank can be filled by one inlet pipe in 15 minutes . it takes an outlet pipe 75 minutes to drain the tank. if the outlet pipe is left open by accident, how long would it take to fill the tank ?
Click here to see answer by ptaylor(2198)

Question 202176: A company wishes to manufacture a box with a volume of 36 square feet, has an open top and is twice as long as it is wide. Find the dimensions of the box produced from the minimal amount of material.

Click here to see answer by RAY100(1637)

Question 202563: Together a 100 cm wide escalator and a 60 cm wide escalator can empty a 1575 person room in 14 minutes. The wider escalator moves twice as many people as the narrow escalator. How many people per hour does the 60 cm wide escalator move?
Click here to see answer by rfer(16322)

Question 203041: Four children ate a total of one dozen grapes in a quarter of an hour. Eating at the same rate, how many grapes will ten children eat over a period of 40 minutes?
Click here to see answer by RAY100(1637)

Question 203045: Three people, each working at the same rate, finish a job in 20 hours. At this rate, how many hours will it take five people to finish three such jobs?
Click here to see answer by ptaylor(2198)

Question 203042: 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 work together to complete it?
Click here to see answer by ptaylor(2198)

Question 203092: Jeff takes 5 hr longer to build a fence than it takes Bill. When they work together, it takes them 6 hours? How long would it take Bill to do the job alone?
Click here to see answer by scott8148(6628)

Question 203145: One pump can fill a tank twice as fast as a second pump. If the pumps are used together, they fill the tank in 16 minutes. How long would it take each pump working alone to fill the tank?
Click here to see answer by stanbon(75887)

Question 203242: I don't know how to set it up.
*the city swimming pool can be filled from two sources, a well or a city water. the pipe for the city water fills the pool in 6hours and the pipe from well fills it 10 hours. how long will it take the pool to fill if both sources are piped in at same time?
Click here to see answer by ptaylor(2198)

Question 203389: Cleaning sidewalks. Edgar can blow the leaves off the
sidewalks around the capitol building in 2 hours using a
gasoline-powered blower. Ellen can do the same job in
8 hours using a broom. How long would it take them
working together?

Running backs. In the playoff game the ball was carried
by either Anderson or Brown on 21 plays. Anderson gained
36 yards, and Brown gained 54 yards. If Brown averaged
twice as many yards per carry as Anderson, then on how
many plays did Anderson carry the ball?

I am really bad at word problems i just never know how to lay them out into an equation.
I appreciate all your help!
Click here to see answer by ankor@dixie-net.com(22740)

Question 203558: Five workers paint four houses in six days. Working at the same rate as these workers, how many workers are needed to paint 12 houses in three days?
Click here to see answer by promotion analysis(5)

Question 204387: It takes Jon 7 hours to paint a room. It takes Kate 12 hours to paint the same room. How many hours will it take them to paint the room if they work together?
Click here to see answer by checkley77(12844)

Question 204531: need help urgent!
1. It takes jun thrice the number of days it takes Peter to mow a lawn. When the two boys work together, the job is completed in three days. How long does it take each boy to do the job alone?
Click here to see answer by Alan3354(69443)

Question 204667: A man can paint a room by himself in 8 hours and it takes his son 12 hours to do the same job. The man works by himself for three hours, then his son joins him and the two together complete the job. How long does the son work?
Click here to see answer by Earlsdon(6294)

Question 204920: Pls help me! super urgent!
1. twenty-four more than thrice a number is five times the number. What is the unknown quantity?

2. Cora is six years older than five times the age of her grandson Ogie. If the sum of their ages is 114, find the age of each.

3. Fourteen years from now, Issa will be thrice her age six years ago. How old is Issa at present?
4. Mylene deposited $70,000 in IMPOK savings bank and $50,000 in TIPID bank. IMPOK savings Bank pays an interest that is 2% greater than that which Tipid Bank Pays. After a year Mylene earns an interest of $11,000. What rate of interest does each bank pays?

5. The ten's digit of a three-digit number is two less than the hundred's digit while the one's digit is three more than the ten's digit. If the sum of the digits is one less than four times the ten's digit, what is the number?

6. A piggy bank has 26 coins in fifty centavos and one-peso denominations. The value of 50-centavo coins is 30% of the total content of money in the piggy bank. How many of each coin are there?

7. An alloy contains 20% gold and another contains 40% gold. How much of each must be mixed to produce 200kg of 25%gold?

8. A dairy man wishes to prepare cream containing 5% butterfat. How much cream of 25% butterfat must be added to 50 kg of cream approximately containing 4% butterfat?

9. Mart is twice as old as Nald. In six years, he will be four times as old as Nald was three years ago. What are their present ages?

10. A freight train traveling at a rate of 60kph leaves a city. Three hours later, an express train whose average rate is 80kph leaves the same city traveling in the same direction. How long will it take the express train to overtake the freight train?

11. Two cars start from the same point at the same time and travel in opposite directions. The faster car travels 12 miles per hour faster than the other. If after six hours, the cars are 648 kilometers apart, what is the speed of each car?

12. Two ships leave North Harbor and sail in opposite directions. if the faster ship travels at a rate of 42 kph and the slower ship sails at a rate of 34kph, in how many hours will the two ships be 190 kilometers apart?

13. A train left the station at 9 a.m. traveling at 50 mph. At 11 p.m., an airplane left the same place in the direction at 175 mph. At what time did the plane overtake the train?
Click here to see answer by Alan3354(69443)

Question 205016: plEase help!urgent!
1. An alloy contains 20% gold and another contains 40% gold. How much of each must be mixed to produce 200kg of 25%gold?

2. A dairy man wishes to prepare cream containing 5% butterfat. How much cream of 25% butterfat must be added to 50 kg of cream approximately containing 4% butterfat?

3. Mart is twice as old as Nald. In six years, he will be four times as old as Nald was three years ago. What are their present ages?

4. A freight train traveling at a rate of 60kph leaves a city. Three hours later, an express train whose average rate is 80kph leaves the same city traveling in the same direction. How long will it take the express train to overtake the freight train?
Click here to see answer by Alan3354(69443)

Question 205015: plEase help! urgEnt!
1. Two cars start from the same point at the same time and travel in opposite directions. The faster car travels 12 miles per hour faster than the other. If after six hours, the cars are 648 kilometers apart, what is the speed of each car?
2. Two ships leave North Harbor and sail in opposite directions. if the faster ship travels at a rate of 42 kph and the slower ship sails at a rate of 34kph, in how many hours will the two ships be 190 kilometers apart?
3. A train left the station at 9 a.m. traveling at 50 mph. At 11 p.m., an airplane left the same place in the direction at 175 mph. At what time did the plane overtake the train?
Click here to see answer by Alan3354(69443)

Question 204924: need your help, urgent!
help!help!help!
1. It takes jun thrice the number of days it takes Peter to mow a lawn. When the two boys work together, the job is completed in three days. How long does it take each boy to do the job alone?
2. Two planes leave NAIA at 4 p.m., one traveling east at 8:50 kph and the other, west at 750 kph. At what time will they be 4000 km apart?
3. An airplane which travels 180 miles per hour leaves the airport 8.5 hours after a ship has sailed. If it overtakes the ship in one hour and 30 minutes, find the rate of the ship.
4. Rolly and Romy are 15 km apart and are walking towards each other. If rolly is walking at rate of kph and romy at a rate of 3 kph, in how many hours will they meet?
5. Albert sets out on a hike. After walking for a while at 6 kph, he discovers that he has forgotten his lunch. A passing bus takes him back home at 30 kph. How far did he walk if he was gone for one hour?

6. The length of a rectangle is six more than half its width. If the perimeter of the rectangle is 18 units, what are the dimensions of the rectangle?
7. The second angle of a triangle is 10 degrees more than half the measure of the first angle. The third angle is 10 degrees less than four times the second angle. What are the measures of the three angles in the triangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205017: Pls help me! super urgent!
1. twenty-four more than thrice a number is five times the number. What is the unknown quantity?

2. Cora is six years older than five times the age of her grandson Ogie. If the sum of their ages is 114, find the age of each.

3. Fourteen years from now, Issa will be thrice her age six years ago. How old is Issa at present?

4. Mylene deposited $70,000 in IMPOK savings bank and $50,000 in TIPID bank. IMPOK savings Bank pays an interest that is 2% greater than that which Tipid Bank Pays. After a year Mylene earns an interest of $11,000. What rate of interest does each bank pays?

5. The ten's digit of a three-digit number is two less than the hundred's digit while the one's digit is three more than the ten's digit. If the sum of the digits is one less than four times the ten's digit, what is the number?

6. A piggy bank has 26 coins in fifty centavos and one-peso denominations. The value of 50-centavo coins is 30% of the total content of money in the piggy bank. How many of each coin are there?
Click here to see answer by rfer(16322)

Question 205010: Pls help me! super urgent!
1. twenty-four more than thrice a number is five times the number. What is the unknown quantity?
2. Cora is six years older than five times the age of her grandson Ogie. If the sum of their ages is 114, find the age of each.
3. Fourteen years from now, Issa will be thrice her age six years ago. How old is Issa at present?

4. Mylene deposited $70,000 in IMPOK savings bank and $50,000 in TIPID bank. IMPOK savings Bank pays an interest that is 2% greater than that which Tipid Bank Pays. After a year Mylene earns an interest of $11,000. What rate of interest does each bank pays?
5. The ten's digit of a three-digit number is two less than the hundred's digit while the one's digit is three more than the ten's digit. If the sum of the digits is one less than four times the ten's digit, what is the number?
6. A piggy bank has 26 coins in fifty centavos and one-peso denominations. The value of 50-centavo coins is 30% of the total content of money in the piggy bank. How many of each coin are there?
Click here to see answer by edjones(8007)

Question 205076: pls answer with complete solution! very important!

1. A water tank has two valves, A and B. When only valve A is open, the tank is emptied in 6 hours. Furthermore, it takes twelve hours to empty the tank if only valve B is open. How long will it takes to empty the tank if both valves are open?

2. The sysfies organized a benefit show for their JS prom. They sold $25,$50, and $100 tickets. The $25-ticket sales was twice as many as the $100-ticket while the $50-ticket was 50 more than the $100 tickets. How many of each kind of ticket were sold if the total sales was $22,500?

3. An 8-liter solution is 25% alcohol. How much water must be added to reduce the concentration of alcohol in the solution to 20%?
Click here to see answer by ankor@dixie-net.com(22740)

Question 205073: pls answer with complete solution! very important!
1.Two cars start from the same point at the same time and travel in opposite directions. The faster car travels 12 miles per hour faster than the other. If after six hours, the cars are 648 kilometers apart, what is the speed of each car?

2. Two ships leave North Harbor and sail in opposite directions. if the faster ship travels at a rate of 42 kph and the slower ship sails at a rate of 34kph, in how many hours will the two ships be 190 kilometers apart?

Click here to see answer by Alan3354(69443)

Question 205208: A furniture maker has a shop that can employ 12 workers for 40 hours per week at its maximum capacity. The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours of labor to make a chair. Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week.
I am completely lost on this problem. Any help provided, is greatly appreciated...Thanks!!
Click here to see answer by ankor@dixie-net.com(22740)

Question 205579: Three pipes can be used to fill a tank. It is filled in 10 hours using only the first pipe,in 12 hours using only the second pipe and in 15 hours using only the third one. A pressure problem cuts the flow capacity of each pipe in half. It is then decided to use three pipes together. How long will it take to fill a tank?
(A)4 hrs (B) 5 hrs (C) 8 hrs (D) 12 hrs (E) None of these
Click here to see answer by stanbon(75887)

Question 205843: In doing a project, a group of workers can complete the work in a certain number of days. If they are 12 more workers, the job will be completed 3 days sooner. If there are 6 workers less, the job will be delayed by 2 days. Find the number of workers and days required originally.
Click here to see answer by scott8148(6628)

Question 205962: It takes 24 minutes for Peter and John to mow the lawn together. If Peter mows 20 minutes faster than John. How long will it take each man working alone to mow the lawn?

Click here to see answer by Alan3354(69443)

Question 205947: A father and his son are working together to paint a picket fence. The father can paint a board in 0.04 hours, while his son takes 0.05 hours for each board. What is the combined rate in boards/ hour for the father and son team to paint the fence?

Click here to see answer by Alan3354(69443)

Question 205942: Pls. Help me I would like to know the proper solving of this question.
Mariko can finish the typing job in 5 hrs. If Monique helps her, they can finish the same job in three hrs. How long would it take Monique to finish the typing job alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 206410: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank?
Click here to see answer by ptaylor(2198)

Question 206581: 10. Two men chop one ton of wood in two hours. How long will it take three men to chop three tons of wood?
(A) 2 hours (B) 5/2 hours (C) 3 hours (D) 10/3 hours (E) None of these
Click here to see answer by Theo(13342)

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