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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 266267: An escalator moves up at a rate of x steps per second. Walter walks up the
escalator at the rate of one step per second and reaches the top in twenty seconds.The next day Walter’s rate was two steps per second, and he reached the top in sixteen seconds. How many steps does the escalator have?
(A) 40 (B) 50 (C) 60
(D) 80 (E) none of these

Click here to see answer by ankor@dixie-net.com(15622)

Question 266340: a trucker drove for 4 hours before he encountered icy road condition. He reduced his speed by 20 mph and continued driving for 3 more hours. Find his average speed during the first part of the trip if the entire trip was 325 miles.
Click here to see answer by stanbon(57203)

Question 266420: Six time a certain number minus 2 equals five times the number plus 2. Could you find the number?
Click here to see answer by checkley77(12569)

Question 266296: one medium bran muffin contains 4.2g of fiber. how many ounces of fiber are obtained by eating three medium bran muffins if 1lb=16oz? please help!
Click here to see answer by ankor@dixie-net.com(15622)

Question 266424: 90) Foul ball. Suppose Charlie O’Brian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball to return to the earth.
b) Use the accompanying graph to estimate the maximum height reached by the ball.

Click here to see answer by ankor@dixie-net.com(15622)

Question 266433: There is a cookie jar filled with 45 cookies, if the cookies are distrubuted in A 2:3:4 RATIO among 3 children. What is the greatest number of cookies that any one child receives?
Click here to see answer by Edwin McCravy(8879)

Question 266494: Light travels 186,282 miles in one second. A light year is the distance light travels in one year. It is about 4.3 light years to the nearest star, Proxima Centauri, (other than our sun!)
How many miles away is Proxima Centauri?
____________miles
b)The distance from Los Angeles to New York is about 2,000 miles. If this distance is represented by the width of a grain of sand (say 1/100 of an inch) how many miles away would Proxima Centauri be?
___________miles
c) The diameter of our galaxy, the Milky Way, is about 100,000 light years. With this representation used in (b) what would the diameter of the Milky Way be (in miles under our scale)?
______________miles
d) Imagine we now represent the Milky Way by a single grain of sand. The universe is 15 billion light years across. How many feet would this correspond to? _____________ feet
Click here to see answer by CharlesG2(828)

Question 266547: The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.12t where k is a constant and t is the time in years. If the current population is 15,000, in how many years is the population expected to be 37,500? Round to the nearest year
51
8
5
3

Click here to see answer by drk(1908)

Question 266500: the following problems involve arithmetic and geometric sequences. please can you help me.
1) Frank has taken a job with a starting salary of $15,000 and annual raises of 4%. what will be his salary during his third year on the job?
2) A new pair of running shoes costs $70 now. assuming an annual 8% price increase, find the price 4 years from now?
3) the width of a pyramid decreases by 1.57 m for each successive 1m of height. if the width at a height of 1 m is 229.22 m, what is the width at a height of 86 m?
Click here to see answer by Theo(3458)

Question 266545: A certain country's population P(t), in millions, t years after 1980 can be approximated by
P(t) = 5.495(1.016)^t .
In what year did the country's population reach 3 million?
1947
1932
1942
1952
Click here to see answer by drk(1908)

Question 266624: A bag contains 9 pink marbles, 6 green marbles and 14 brown marbles. What is the chance of drawing a pink marble? If a pink marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a green marble? Give solutions in reduced fraction form, seperated by a comma.
I know it's asking me 2 different questions, but I can't figure out what to do. Please show me all the steps so I can do my other 30 problems. I am completely lost.
Click here to see answer by Edwin McCravy(8879)

Question 266657: Oh please help me, this problem has almost made me cry. I am a 34 year old student and can't even begin to understand this..
A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A, or R. Each number must be a 3 or 7. Repetitions of letters is permitted.
there are 4 parts to this:
1. Use the counting principle to determine the number of points in the sample space.
2. Construct a tree diagram to represent this situation.
3. List the sample space.
4. Determine the EXACT probability of creating a mini license plate with a C. Give the solution in reduced fraction form.
Please show me everything, I have 7 other problems to do like this and I need alot of help please, I am taking online courses and my professor isn't helping much at all.
Click here to see answer by drk(1908)

Question 261704: How do you solve this problem?
Solve for L.
2L + 2W = P
Click here to see answer by JBarnum(2044)

Question 266702: Hi everyone, I'm having a bit of a problem with, well, a problem. We've been dealing with quadratic equations and I'm pretty sure that's how to solve the problem, however I can't figure out how to set up the problem.
Here's the posed problem:
In March of 2000, Doug Danger made a sucessful motorcycle jump over an L-1011 jumbo jet. The horizontal distance of his jump was 160 feet, and his height, in feet, during the jump was approximated by h = -16t^2 + 25.3t + 20, t>/=0.
He left the takeoff ramp at a height of 20 feet and he landed on the landing ramp at a height of about 17 feet. How long, to the nearest 10th of a second, was he in the air.
Now I did attempt to solve for T by setting h to zero and h to 17.
Setting h to zero gave me -25.3 +/- sqrt (25.3^2-4(-16)(20)/2(-16) = -25.3 +/- sqrt 1920.09/-32
Setting h to 17 = -25.3 +/- sqrt 448.09/-32
I'm obviously missing something, but what?
Click here to see answer by scott8148(6628)

Question 266575: A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstrem to a certain point in 20 minutes, the return trip takes 15 minutes. What is the speed of the current?
Thanks for any help you can provide,
orchidia@tampabay.rr.com

Click here to see answer by ankor@dixie-net.com(15622)

Question 267052: In a race of 1000 meters, A beats B by 200 meters and A beats C by 500 meters.
Assuming that the contestants run at constant speeds, by how many meters does
B beat C?
(A) 300 (B) 375 (C) 450 (D) 500 (E) 625

Click here to see answer by TutorD(1)

Question 267051: Three friends jog regularly in a park: Anna jogs every 10 days, Barbara jogs every
15 days, and Jo jogs every 14 days. One Sunday they happen to jog together.
After how many days will the three friends jog together again?
(A)150 (B) 210 (C) 350 (D) 420 (E) Never

Click here to see answer by ankor@dixie-net.com(15622)

Question 267053: An athlete travels from point A directly to point B. If he runs 3/4 of the way, walks 1/9 of the way, and jogs the last 10 miles, what is the distance from point A to point B?
(A) 36 miles (B) 45 miles (C) 56 miles (D) 72 miles (E) none of these

Click here to see answer by richwmiller(9132)

Question 267062: The difference of two numbers is 6. one half of the larger number is 5 larger than one third of the smaller number. find the numbers.
Click here to see answer by palanisamy(496)

Question 266057: A store has a large supply of 1 pound, 3 pound, 9 pound and 27 pound weights, but no weights of other amounts. These weights are sold at 25 cents per pound regardless of size. A man wishes to spend no more than $10.00 and buy 40 pounds worth of weights. In how many ways can he do this so that he has enough weights to weigh any integer value from 1-40? Also, he does not want to duplicate any number (i.e. If he buys three 1 poind weights, he can't buy a 3 pound weight.)
Click here to see answer by lanieleen(1)

Question 267120: Bob gave 4/5 of his pencils to Barb, then gave 2/3 of the remaining pencils to Bonnie. Bob ended up with 10 pencils left, how many did he start with?
Click here to see answer by drk(1908)

Question 267070: Hello, I have an algbra word problem that's driving me nuts. Here it is:
Staples sells cartons of pens ($9) and rubber bands($4). Leona ordered a total of 36 cartons for $284. How many cartons of each did Leona order?
Click here to see answer by scott8148(6628)

Question 267138: Jerry earned $18, 500 one year and then received a 10.5% raise, What is his new yearly salary?
Click here to see answer by richwmiller(9132)

Question 267158: A ranger in fire tower A spots a fire at a direction of 40°. A ranger in fire tower B, which is 28 miles directly east of tower A, spots the same fire at a direction of 50°. How far from tower B is the fire?
Click here to see answer by stanbon(57203)

Question 266993: The difference between two perfect squares is 133. What is the smallest possible sum of the two perfect squares?

Click here to see answer by ankor@dixie-net.com(15622)

Question 267237: A group of 64 people attend a ball game. There were 3 times as many childre as there were adults in the group. Write a system of equations that you could use to set up this problem where a is the number of adults and c is the number of children in the group.
Solve the system of equations for c, the number of children in the group.
Click here to see answer by drk(1908)

Question 267398: A car traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossng, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Click here to see answer by ankor@dixie-net.com(15622)

Question 267735: I would like to know if you could please help me. Thank you for your time and help.
Lottery winnings in a certain state will be distributed over a three day period, with the number of winners each day increasing by 2. If the lottery will distribute 27 prizes, how many will be awarded each day?
Our teacher said to fill each of these steps when trying to solve the given problem.
1) Write down what you know
2) What am I trying to find?
3) Make a table with the given/not given information
4) Write an algebraic equation relating the information and solve
5) Make sure your answer makes sense (no negatives)
Click here to see answer by jim_thompson5910(28476)

Question 267852: Ariana and her father build a 0.08 scale model of her grandmother's cottage in Greece as a present for her mother. If the the scale model has a square footage of 7.68 square feet and if one side is 3.2 feet long, what is the square footage of her grandmother's cottage?
So far I think I got the other length, 2.4 ft.
But would I do after that?
Click here to see answer by Alan3354(30935)

Question 268091: bayside insurance offers two health plans. Under plan A you would pay the first $100 of a bill plus 30% of the remainder. Under plan B you would pay the first $150 of a bill but only 20% of the remainder. For which plan would you save more money? Assume there are over $150 in bills.
You would save more with plan B if you had over $_______ in bills.
Click here to see answer by jim_thompson5910(28476)

Question 268092: a hockey team receives 2 points for every win and 1 point for every tie. The team won with 52 points. The team won 11 more games than they tied.
Wins=___
Ties=___
Click here to see answer by jim_thompson5910(28476)

Question 267856: Mr. Kelly’s company manufactures a cylindrical soup can that has a diameter of 6 inches and a volume of 226 cubic inches. If the diameter stays the same and the height is doubled, what will happen to the can’s volume?
How do you find the original height?
Click here to see answer by ankor@dixie-net.com(15622)

Question 268163: If the sides of a square are lengthened by 7cm, the area becomes 121cm^2. Find the length of a side of the original square.
Click here to see answer by drk(1908)

Question 268109: two integers, a and b, between 1 and 20,such that a squared plus b squared is a perfect square
Click here to see answer by Edwin McCravy(8879)

Question 268225: a sales man earns $300.00 per week plus a 5% commission on all sales over $8000.00. One week his sales amounted to $15000.00 What were his earnings that week?
Click here to see answer by checkley77(12569)

Question 268318: The average of 3 numbers is 21. One of the numbers is 10. What is the sum of the other 2 numbers
Click here to see answer by azhou4(12)

Question 268138: I would to know if I could have some help here on this problem.
A druggist mixes a 10% soulution of iodine with a 15% solution of iodine. How much of each solution should be used in order to obtain 20 cubic centimeters of a 12% solution?
Thank you for your help
Click here to see answer by ankor@dixie-net.com(15622)

Question 268439: Bayside Insurance offers 2 Health plans. Under plan A you would pay the first $100 of the bill plus 30% of the remainder. Plan B you would pay the first $150 plus 20% of the remainder. For what amount of bills will you save more money assuming that there are over $150 in bills (approx. total bill of $5,000)
You would save more with plan B is you had $______ in bills?
Click here to see answer by stanbon(57203)

Question 268139: The length of a rectangular swimming pool is 4 meters more than 4 times its width. The perimeter of the pool is 248 meters. What are the length and width of the pool?
Thank you!!
Click here to see answer by ankor@dixie-net.com(15622)

Question 268478: A machine can make 80 meters of plastic pipe in 5 minutes.how many meters of plastic pipe can the machine make in 12 minutes?
Click here to see answer by Alan3354(30935)

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