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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 104359: 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?
Click here to see answer by ankor@dixie-net.com(22740)

Question 104677: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by HyperBrain(694)

Question 104704: Train A leaves a station traveling at 32 kilometers per hour. 4 hours later, train B leaves the same station traveling in the same direction at 52 kilometers per hour. How long does it take train B to catch up to train A?
Click here to see answer by Fombitz(32388)

Question 104723: A homeowner has 120 feet of fence to enclose a rectangular garden.
Come up with a function that gives the area of the garden as a function of the width (Area in terms of width).
What I know
length*2 + width*2=120 feet 2W=120-2L Divide everything by 2
W=60-L
Is this complete or do I need to do something else for the answer? Thank you.
Click here to see answer by Fombitz(32388)

Question 104705: A motorboat can go 10 miles downstream on a river in 20 min. Its takes 30 min.for this boat to go back upstream the in same 10 miles. Find the speed of the current.
Click here to see answer by ankor@dixie-net.com(22740)

Question 104810: 3/10 of a meter is how many centimeters
Click here to see answer by duggie(26)

Question 104674: During rush hour, Bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads is 8 mi/h faster than his rate on the freeway, find his rate on the side roads.
Click here to see answer by ankor@dixie-net.com(22740)

Question 104786: A wire 36 inches long is cut into two pieces and then bent into two square frames. The two frames have sides differing by five inches. What is the sum of the two areas?
Click here to see answer by ankor@dixie-net.com(22740)

Question 104703: Train A leaves a station traveling at 80 kilometers per hour. 8 hours later, train B leaves the same staion traveling in the same direction at 90 kilometers per hour. How long does it take train B to catch up to train A?
Click here to see answer by ankor@dixie-net.com(22740)

Question 104833: in a bicycle race, lionel gives robert a 500m advantage. also, lionel agrees to start 15 min after robert. if lionel bikes at 17 km/h and robert at 14 km/h, how long will it take lionel after he starts to overtake robert?
thanks in advance
Click here to see answer by scott8148(6628)

Question 104803: A rectangular reflecting pool wiht a horizontal bottom is 100 ft by 150 ft and contains 200,000 gal of water. Howw deep is the water in the pool.
Click here to see answer by edjones(8007)

Question 104923: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by checkley75(3666)

Question 104879: Hi please help me solve this word problem.
The function A=A(base of 0)e^-0.01152x models the amount of pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material wsa put into the vault. If 800 pounds of material are initially put into the vault, how many pounds will be left after 180 years?
Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 104964: Three lighthouses on three nearby islands flash their lighys every evening. On one island, the light flashes every 45 seconds. The lighthouse on the second island has a light that flashes every 2 minutes. The third lighthouse flashes a light ecery 1 1/4 minutes. Suppose all thr light flash together at 8:35 p.m.

At what time will all three lights flash together again?
Click here to see answer by Fombitz(32388)

Question 105085: The Sum of the base abd the height of a triangle is 20cm. find the dimensions for which the area is maximum
Click here to see answer by kmcruz09(38)

Question 105123: find the lenghts of the missing sides of the triangles.
First triangle side 1 = 10, side 2=6, side 3=a
Second triangle side 1 = 14, side 2 = b, side 3=11.2
I have no idea how to do this. Please help.
Click here to see answer by MathLover1(20849)

Question 105228: I'm not even sure if you would consider this a word problem. I do not even know where to begin.
The area of a square is 82 ft^2. Find the length of the side to the nearest hundredth.
Your help is appreciated.
Click here to see answer by ptaylor(2198)

Question 105246: Solve the following problem using a proportion containing a variable for the unknown quantity, then solving for the unknown using algebra:
If 3 out of 5 dentists recommend chewing �Smiley Sweet� gum, at a conference of 485 dentists how many do recommend chewing �Smiley Sweet�?

Click here to see answer by edjones(8007)

Question 105230: A picture is 2.5 m long by 2.0m wide. It is held by a frame of uniform width around its ouside edge. If the picture itself(without the frame) is 4 m^2, what is the width of the frame to the nearest centimeter?
I have the worst time trying to figure out these types of problems.
Click here to see answer by scott8148(6628)

Question 105347: A rancher bought 20 times as many cows as bulls. Each cow costs $1,000 and each bull costs $2,000. If the rancher spent $220,000 for this transaction, how many cows and how many bulls did the rancher buy?
Click here to see answer by Earlsdon(6294)

Question 105406: There are 30 kids in a class and there are 3 girls for every 2 boys how many girls are in the class?
6x3=18 18 girls
6x2=12 12 boys
Click here to see answer by Ahmath(7)

Question 105494: a collection of 50 coins is worth $5.20. There are 12 more nickels than dimes, and the rest of the coins are quarters. How many coins of each type are in the collection? Thank you
Click here to see answer by scott8148(6628)

Question 105535: it has been determined that at the age of 10 a girl has reached 84.4% of her final adult height. Dana is 4 ft 8 in at the age of 10. What will her final adult hight be. How do you figure it out she grew 15.6%.
Click here to see answer by ptaylor(2198)

Question 105623: Tourist: "How many birds and lions do you have in your zoo?" Zookeeper:"There are 30 heads and 100 feet." Find the number of each animal. I need to know how to set this problem up in a system of linear equations. Thank you.
Click here to see answer by fmo(8)

Question 105651: One apt. is directly above second apt. Downstairs resident calls his upstairs neighbor and says;"If one of you is willing to come downstairs, we'll have the same number of people in both apts." His neighbor responded with; "Why don't one of you come up? Then we,ll have twice as many people up here as you have down there." How many people in each apt? I know the answers, but am having trouble setting it up into a system of linear equations. Can somebody please help me? Thank you so much in advance.
Click here to see answer by scott8148(6628)

Question 105701: Tina's diner is open six days a week. her income for the first five days this week was $200, $140, $360, $400, and $280. How much must she make on the sixth day to have a mean income of $390 for the six days?
Click here to see answer by fmo(8)

Question 105718: A log is cut into 4 pieces in 12 seconds. How long would it take to cut the same log into 5 pieces. The answer is not 15.
Click here to see answer by bucky(2189)

Question 105718: A log is cut into 4 pieces in 12 seconds. How long would it take to cut the same log into 5 pieces. The answer is not 15.
Click here to see answer by fmo(8)

Question 105768: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
5
7
17
34

Click here to see answer by joLeeBee08(3)

Question 105768: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
5
7
17
34

Click here to see answer by jermz69(5)

Question 105700: Mel's salary starts at $16000 per year with annual raises of $1500. Janet's salary is $19300 with annual raises of $950. After how many years will the two woman be earning the same salary.
Click here to see answer by Fombitz(32388)

Question 105782: 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?
Click here to see answer by josmiceli(19441)

Question 105824: The length of a rectangle is 8cm more then 3 times the width. The perimeter of the rectangle is 64cm. What are the dimensions of the rectangle?
Click here to see answer by checkley75(3666)

Question 105844: I am on vacation and doing independent study and this problem is giving me a headache. Could you please help?
Four time the sum of the distance from Apia to Austin, Texas and the distance from Apia and Noumea is about 47,000 kilometers. How far is Austin?
The distance from Apia and Noumea is 2,480 kilometers
Here is what I have tried --
x= Austin
4x + 2480 = 47,000
4x = 47,000 - 2480
4x = 44520
x = 11130
I know the answer is 9270 (teacher gave me the answers)
Could you please help

Click here to see answer by jim_thompson5910(35256)

Question 105976: how many years will it take $2600 to triple itself if it is invested at 3.6% simple interest
Click here to see answer by edjones(8007)

Question 106170: the height of a triangle is five feet less than two times the base. If the area is 75 square feet find the base and height.
Click here to see answer by josmiceli(19441)

Question 106170: the height of a triangle is five feet less than two times the base. If the area is 75 square feet find the base and height.
Click here to see answer by stanbon(75887)

Question 106151: Folding Sheet Metal: A square is to be cut from each corner of an 8 inch by 11 inch rectangular piece of copper and the sides are to be folded up to form a box. If the area of the bottom is to be 50 inches squared, what size square should be cut from each corner?
I've tried and gotten this far:
(11-2x)(8-2x)=?
(88-22x)(-16x+4x^2)
22(4-x)-4x(4-x)
22-4x=? 4-x=?
I'm not sure what it is supposed to equal. I have tried several different answers. I have set it equal to 50 inches squared, 50 inches, 88 inches, and 44 inches. If you can help me with this problem, I would appreciate it! Thank you!
Click here to see answer by stanbon(75887)

Question 105520: A rectangular playing field with a perimeter of 100 meters is to have and area of at least 500 square meters. Within what bounds must the length of the rectangle lie?
Click here to see answer by alvinjohnburgos(11)

Question 106227: X baskets of strawberries were put on sale on Monday. The unsold baskets of any day were put on sale the next day. 1/3 of the baskets were sold on Monday. 2/3 of those put on sale on Tuesday were unsold. 8 baskets were put on sale on Wednesday. What is X?
Click here to see answer by edjones(8007)

Question 106281: In a Math contest, Team B earned 3 points less than Team C. Team A garnered 6 points more than Team B. What is the difference between the highest and lowest score?
Click here to see answer by stanbon(75887)

Question 106101: A river has a steady current. A boat travels 30 mph over still water. If a trip 85 miles downstream and back takes 10 hours, then what is the speed of the current?

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

Question 106348: Cassy had a bag of candy and was heading to the playground when she was intercepted by her arch nemesis, Rachelle. Rachelle thought Cassy had made fun of her the pervious day, so Rachelle tried to grab the bag of candy away from Cassy. In the ensuing battle, half the candy plus two pieces fell on the ground. Cassy maintained control of the bag and ran to the office to tattle on Rachelle. On the way to the office Cassy ran into Julio, whom she had a crush on. She gave Julio some of the candy in her bag, which just happened to be equal to one-fourth of what was left, plus five pieces. Just before Cassy got to theoffice her best friend Madison caught up with her. Cassy gave Madison half of the candy she had left. When Cassy got to the office and told the story to the principal, he asked to see the bag of candy. He told Cassy he would talk to Rachelle, but that it was against school policy to have candy on the campus. He then ate the remaining two pieces of candy. How many pieces of candy were originally in the bag?
Click here to see answer by solver91311(24713)

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