Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 79958: 42. Tyrin can paint a house in 4 days. Tahjai can paint the same house in 5 days. How many days will it take to paint the house if they work together?

Click here to see answer by vertciel(183)

Question 78654: Twenty people are seated around a circular table. Each person is either a knight-who always tells the truth -or a knave- who always tells a lie. If each person at the table says, "the person to my right is a knave," how many knaves are seated around the table?
Click here to see answer by sofiyacherni(99)

Question 79962: 48. The formula v=2sqrt6L is used by police to estimate the speed of car, V, in miles per hour based on the length of its skid marks (L, in feet) on dry pavement. How far will a car skid at a speed of 72 miles per hour?
Click here to see answer by checkley75(3666)

Question 79957: 41. Jack can get a pail of water in 5 minutes. Jill can get a pail of water in 3 minutes. If they work together (and don’t fall down) how long will it take to get a pail of water?

Click here to see answer by checkley75(3666)

Question 79964: 50. A rock is thrown from the top of a tall building. The distance in feet, between the rock and the ground t seconds after it is thrown is given by d= -16t^2-2t+524. How long after the rock is thrown is it 321 feet from the ground?

Click here to see answer by checkley75(3666)

Question 80111: Ed and Dave are going to divide a cash prize of $14,000 in a ratio of 2 to 5. How much will Dave receive?
The answer I got is $4,000.
Is this right?
Click here to see answer by stanbon(57415)

Question 80110: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
The answer I got is 5 hours
Click here to see answer by stanbon(57415)

Question 80116: open top box thomas is going to make an open topbox by cutting equal squares from the four corners of an 11 inch by 14 inch peice of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
I set it up like this but I think I am wrong
here goes:
80=14^2 2.45inches
80=11^2 1.5 inches
so my answer is 2.45 by 1.5 inches is this right if not please give me step by step because I just dont get it
Click here to see answer by ankor@dixie-net.com(15664)

Question 80130: One number is 3 times another. If the sum of their reciprocals is 1/5 , find the two numbers.
Click here to see answer by stanbon(57415)

Question 80175: Jesse works in a bakery. He can make 12 pics in 96 minutes. In the space below, write an equation that can be used to find how many pics(p) Jesse would be able to make in (t) minutes.
Equation
If Jesse makes pics for 8 hours, how many pics could he make?
show your work
Thanks
7th grader in NY
Click here to see answer by stanbon(57415)

Question 79960: 44. In still water, a boat averages 40 miles per hour. It takes the same amount of time to travel 85 miles downstream, with the current, as 75 miles upstream, against the current. What is the rate of the water’s current?

Click here to see answer by ankor@dixie-net.com(15664)

Question 79959: 43.The total cost (y) of a computer paid for a down payment and monthly installments of x dollars can be modeled by the equation y=24x+539. What is the y-intercept for this model and what does it mean?

Click here to see answer by Omarts(2)

Question 80224: If someone could show me how to get started - I would so greatful! Here is the whole problem:
In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
Part One:
Graph function,identify the graph of the function (line,parabola, hyperbola, exponential), find the slope of the graph, find the price at which there will be no more riders,a nd find the maximum number of riders possible. The vertical axis is the number of riders per day, and the horizontal axis is the fare.
(I have never been could with word problems - I just need help getting started)
Part Two:
The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
( Must to first part to do this part)
Part Three:
If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
( Must do the rest in order to do this part)
Click here to see answer by stanbon(57415)

Question 80313: kyle works at a donut shop, where a 10oz. cup of coffee costs 95c, a 14 oz. cup of coffee costs $1.15, and a 20oz. cup costs $1.50. during one busy period Kyle served 24 cups of coffee, using 384 ounces of coffee, while collecting a total of $30.60. How many cups of each size did kyle fill
Click here to see answer by ankor@dixie-net.com(15664)

Question 80603: An engine being tested for fuel consumption was operated at two fixed settings. The first setting results in a fuel consumption of 1 gallon every 12 minutes. The second setting results in a fuel consumption of 1 gallon every 15 minutes. The test ran 5 hours and 22 gallons of fuel were consumed. For how many minutes was the first test on the first setting?
Click here to see answer by stanbon(57415)

Question 80433: amazin' rainsin baking co. makes both raisin cake and raisin pie. a batch of raisin cakes requires 5 lbs. of flour, 2 lbs. of sugar, and 1 lb. of raisins. A batch of raisin pies requires 2 lbs. of flour, 3 lbs. of sugar and 4 lbs of raisins. there are 165 lbs. of flour, 110 lbs. of sugar and 120 lbs. of raisins available each week. Standing orders require at least five batches of raisin cakes and eight batches of raisin pies per week. If profit on a batch of raisin cakes is $35 and profit on a batch of raisin pies is $40, how many batches of each should be made per week to maximize profit?
Click here to see answer by ankor@dixie-net.com(15664)

Question 80696: David opened his piggy bank and found 3 pennies, 5 nickels, and $2.95 in dimes and quarters. Find the greatest number of quarters he could have if he had an odd number of dimes.
Click here to see answer by stanbon(57415)

Question 80622: The perimeter of a rectanglar pool is 140 yards. If the length is 10 yadrs more than the width, find the dimentions of the pool.
Click here to see answer by tutor_paul(490)

Question 80787: A rectangular parking lot is 50 ft longer than it is wide. Determne the dimensions of the parking lot if it measures 250 ft. diagonally.
Click here to see answer by dolly(163)

Question 80789: Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.
Click here to see answer by ankor@dixie-net.com(15664)

Question 80788: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo?
Click here to see answer by ankor@dixie-net.com(15664)

Question 80620: A snow storm lasts for 9 hours and dumps snow at a rate of 1.5 in./hr. If there was already 6 in. of snow on the ground before the storm, the snow depth is given by the equation: y = 3/2x +6, where y is the snow depth in inches and
x is the time in hours.
a)Find the snow depth at the end of the storm
b) How long had it snowed when the total snow depth was 15in?
Click here to see answer by ankor@dixie-net.com(15664)

Question 80814: Two houses are for sale on the same street. The second house has 1000 square feet less than twice the square feet of the first house. Together the houses have 4400 square feet. What is the square footage of the first house?
Click here to see answer by Earlsdon(6288)

Question 80887: Determine the domain and range of each relation. y=-2x+1
Click here to see answer by Edwin McCravy(8920)

Question 80882: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
Click here to see answer by ankor@dixie-net.com(15664)

Question 80885: b^4+13b^2+36=0
Click here to see answer by Earlsdon(6288)

Question 80890: Hi, this isn't from a book, but it is for a resume, so any help would be appreciated!
If a company starts out at $250,000, and 4 1/2 years later it is making $850,000, what is the growth of the company?
Thanks a bunch!
Click here to see answer by stanbon(57415)

Question 80880: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(15664)

Question 80948: I need to know how old your three kids are. The product of their ages is 36.
The sum of their ages is the same as my house number. The younger two are twins.
How old are the kid's and what is my house number.
I think that the kids are 2 and 9 and the house number is 13 but I cannot figure out an equation. This didn't come from a textbook. It is an extra credit paper.
Click here to see answer by scott8148(6628)

Question 81133: Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10t", where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses?

Click here to see answer by stanbon(57415)

Question 81132: A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled?
Click here to see answer by stanbon(57415)

Question 81140: Can you please help me with this question I am very confused by it. I am clueless. Thanks for your help
In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
a) Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and find the maximum number of riders possible. The vertical axis is the number of riders per day, and the horizontal axis is the fare.
b) The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
c) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Click here to see answer by jim_thompson5910(28598)

Question 81311: The Nut House sells mixed nots that are 20% cashews. The owner wants to prepare 4 punds of mixed nuts that are 25% cashews as a special promotion. How many pounds of cashews and how many pounds of the 20% mixture should she combine to get the 25% micture?
Click here to see answer by stanbon(57415)

Question 81310: Katrina can mow the lawn in 2 hours. It takes her brother 3 hours to mow the lawn. When they borrow a neighbor's lawn mower and work together, how long does it take them to mow the lawn?
Click here to see answer by stanbon(57415)

Question 81315: The volume of rubber(in cubic centimeters)in a hollow rubber ball used in raquetball is given by V=4/3 pie R^3-4/3pie r^3 where the inside radius is r centimeters and the outside radius is R centimeters
a. rewrite the formula by factoring the right hand side completely
can you please give me step by step so I know how to set this up thanks
Click here to see answer by tutor_paul(490)

Question 81379: A plane can fly 36 miles with the wind, in the same amount of time that it can fly 12 miles against the wind. the plane flies at 100 mph in still air. Find the speed of the wind.
Click here to see answer by askmemath(368)

Question 81376: A hot tub is filled by two tanks. The first tank can fill the tub in 9 hours working alone, while the second tank (working alone) can fill it in 11 hours. If the two tanks work together, how long will it take them to fill the tub?
Click here to see answer by ankor@dixie-net.com(15664)

Question 81394: when all the grocery carts escape from the supermarket, it takes Reginald 12 minutes to round them up and bring them back. Because norman doen't make as much as Reginald, it takes Norman 18 minutes to do the same job. How long would it take them working together to complte the roundup?
Click here to see answer by ankor@dixie-net.com(15664)

Question 81408: A skeleton contains one hundredth of its original amount of its original amount of carbon-14. If carbon-14 has a half-life of 5750 years, to the nearest 1000 years, how old is the skeleton?
Click here to see answer by stanbon(57415)

Question 81399: The perimeter of a rectangle is 44ft. The length of the rectangle is 2ft less than three times the width. Find the length of the rectangle.
Click here to see answer by iheartcrmnljstce(1)

Question 81456: Suppose that $2000 is invested at a rate of 6% per year compounded continuously. What is the balance after 1 yr? After 2 yrs?
Click here to see answer by stanbon(57415)

Question 81521: The distance required for a car to stop is directly proportional to the square of its velocity. If a car can stop in 112.5 meters at 15 kilometers per hour, how many meters are needed to stop at 25 kilometers per hour.
Click here to see answer by dolly(163)

Question 81407: To find out how wide a certain river is, a pole 20 feet hight is set straight up on one of the banks. Another pole 4 feet long is also set straight up, on the same side, some distance away from the embankment. The observer waits until the shadow of the 20-foot-pole just reaches the other side of the river. At this time he measures the length of the shadow of the 4-foot pole and finds it to be 34 feet. Use this information to determine the width of the river. Show a set-up, equation, solve the equation, and answer the question.
I'm confused with what I'm suppose to do with this problem. Can anyone please help me?
Click here to see answer by scott8148(6628)

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, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110