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

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 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 252492: Two cyclist start biking from a trail's start 3 hours apart, The second cyclist travels @ 10mph and starts 3 hourss after the first cyclist who is traveling @ 6mph. How much time will pass before the second cyclist catches up with the first from the time the second cyclist srtarted biking? Click here to see answer by ankor@dixie-net.com(15652)
 Question 252492: Two cyclist start biking from a trail's start 3 hours apart, The second cyclist travels @ 10mph and starts 3 hourss after the first cyclist who is traveling @ 6mph. How much time will pass before the second cyclist catches up with the first from the time the second cyclist srtarted biking? Click here to see answer by stanbon(57347)

 Question 252529: In how many ways can a committee of at least four but not more than six people be chosen from a group of seven ? a 24 b 63 c 210 d 343 e 8400 Click here to see answer by edjones(7569)

 Question 252532: the floor of a square hall is tiled with unbroken square tiles . along the two diagonals there are 125 tiles altogether . how many tiles are there in the hall? a 15625 b 15624 c 1537 d 2985 e 3969 Click here to see answer by edjones(7569)

 Question 252539: There are two candy jars, each of which contains the same number of pieces of candy. Bert takes 25 pieces of candy from the first jar and gives the rest to Karla, while Karla takes 17 pieces of candy from the second jar and gives the rest to Bert. When they are done, Karla discovers that Bert has more pieces of candy than she does. How many more pieces of candy does Bert have? Click here to see answer by stanbon(57347)

 Question 252534: The measure of an angle formed by the hands of a clock at 2:15 is: (a) 7.5 degrees (b) 22.5 degrees (c) 27.5 degrees (d) 30 degrees (e) 37.5 degrees Click here to see answer by Alan3354(30993)
 Question 252534: The measure of an angle formed by the hands of a clock at 2:15 is: (a) 7.5 degrees (b) 22.5 degrees (c) 27.5 degrees (d) 30 degrees (e) 37.5 degrees Click here to see answer by stanbon(57347)

 Question 252558: you are planning to put a tile border along a 126-inch-wide wall in your kitchen. You want to use only whole tiles. List all the possible whole number tile widths you could use. If the tiles are only sold in whole number widths for 6 inches or less, what size tiles could you use? Click here to see answer by drk(1908)

 Question 252559: You are putting up a 90-foot-long fence in your backyard. According to the manufacturer's instructions, the fence posts should be equally spaced along the length of the yard. List all the possible spacing options if the amount of space between the posts is a whole number of feet. If the posts should be spaced between 8 feet and 14 feet apart, how far apart should your posts be? Click here to see answer by drk(1908)

 Question 252547: If x + 2y = 11 and 3x + y = 13, then find the value of (x + y). Click here to see answer by drk(1908)

 Question 252671: Joe received \$100 a month allowance in 2000. In 2001, his dad made money in the dot-com bubble and raised his allowance 30%. In 2002, after losing money in the dot-com bust, his allowance was cut 20%. What is allowance in 2003? A) \$100 B) \$104 C) \$110 D) \$120 E) \$130 Click here to see answer by palanisamy(496)

 Question 252670: (a + b) / 2 is an integer,and b is even.Variable a MUST be: A) 0 B) 1 C) even D) odd E) a multiple of 3 Click here to see answer by palanisamy(496)

 Question 252668: There is a mile marker every mile on the trail. Between mile 32 and 237, how many mile markers? A) 203 B) 204 C) 205 D) 206 E) 207 Click here to see answer by richwmiller(9135)

 Question 252666: If a and b are different positive integers, and 5a + 2b = 34 is an integer, what is the sum of all possible values of a? A) 6 B) 10 C) 12 D) 14 E) 16 Click here to see answer by richwmiller(9135)
 Question 252666: If a and b are different positive integers, and 5a + 2b = 34 is an integer, what is the sum of all possible values of a? A) 6 B) 10 C) 12 D) 14 E) 16 Click here to see answer by palanisamy(496)

 Question 252683: If x^2 + y^2 = 2xy, then x must equal ? A) –1 B) 0 C) 1 D) –y E) y Click here to see answer by palanisamy(496)
 Question 252683: If x^2 + y^2 = 2xy, then x must equal ? A) –1 B) 0 C) 1 D) –y E) y Click here to see answer by Alan3354(30993)

 Question 252678: 0 < x < 10, and x ≠ 1.Which of the following must be true? A) x^2 > x B) x^2 > 100 C) x^2 > x^2 - 1 D) x^2 > x^3 E) x^2 > x^4 Click here to see answer by susanaramya(12)

 Question 252696: A soup filling machine rejects cans of soup if they are less than 18 ½ ounces or greater than 19 ½ ounces. This machine is programmed to REJECT a can of soup weighing x ounces if: A) | 19 – x | < 19 B) | x – 19 | < 19 C) | 19 – x | < ½ D) | 19 – x | > ½ E) | 19 + x | < 19 Click here to see answer by Alan3354(30993)

 Question 252697: In a school of 80 students, 24 are enrolled in algebra, 49 in music, and 11 students are in both algebra and music. How many students are NOT in either algebra or music? A) 7 B) 15 C) 18 D) 35 E) 62 Click here to see answer by richwmiller(9135)
 Question 252697: In a school of 80 students, 24 are enrolled in algebra, 49 in music, and 11 students are in both algebra and music. How many students are NOT in either algebra or music? A) 7 B) 15 C) 18 D) 35 E) 62 Click here to see answer by fasthomework(5)

 Question 252692: On a map 2.5 inches represents 10 miles. How many inches on map represent 3 miles? Click here to see answer by stanbon(57347)

 Question 252713: 1) A rectangular field is 300 yards by 500 yards. Aroadway of width x yards is to be built inside the field. This problem concerns the region inside the roadway. a) Write the length and width of the region as a function of x. What kind of functions are these? b) Write the area of this region as a function of x. What kind of function is this? c) Predict the area of the region if x= 5, 10, and 15 d) What is the widest the roadway can be and still leave 100,000 square yards in the region I am unable to get past a. I don't even know how to draw a picture of the problem because it doesn't specify if the roadway is horizontal, vertical, or diagnol...please help..thank you!!! Click here to see answer by richwmiller(9135)

 Question 250718: a Reactangle is twice as long as it is wide. If its length and width are both dimentions are increased by 4 m, its area is increased by 88m^2. Make a sketch and find the original dimentions of the rectangle Click here to see answer by drk(1908)

 Question 252729: I'm having trouble setting up this problem. At a certain high school the respective weights for the following subjects are: Mathematics 3, English 3, History 2, Science 2, and Art 1. What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85? Thanks in advance, Daniel Click here to see answer by richwmiller(9135)

 Question 252745: I have one last problem that seems simple enough, but I can't come up with the answer that is given. Could you please show me what I'm missing here? The answer given is: 8.9 , I'm thinking 9 . The problem: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? Once again, thanks Daniel Click here to see answer by Alan3354(30993)
 Question 252745: I have one last problem that seems simple enough, but I can't come up with the answer that is given. Could you please show me what I'm missing here? The answer given is: 8.9 , I'm thinking 9 . The problem: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? Once again, thanks Daniel Click here to see answer by ankor@dixie-net.com(15652)

 Question 252766: The sum of a fraction and its reciprocal is 13/6. What is the fraction? Click here to see answer by richwmiller(9135)

 Question 252791: Divide 105 peaches into three bags such that bag B shall have four times the peaches in bag A, and bag C will be twice the sum of bag A and bag B. How many peaches in bag C? A) 7 B) 28 C) 60 D) 70 E) 80 Click here to see answer by Theo(3464)

 Question 252790: In a school of t students, x are enrolled in algebra, y in music, and b students are in both algebra and music. How many students are NOT in either algebra or music? A) t – (x + y) B) x + y – b C) t – (x + y - b) D) t – (x - y - b) E) t – b Click here to see answer by Theo(3464)

 Question 252789: There are five balls that must be played in a game. Two of the balls are signed balls and must be played either first or last. Each ball can only be played once. How many possible orderings (permutations) can the balls be played? A) 2 B) 12 C) 60 D) 120 E) 3125 Click here to see answer by Theo(3464)

 Question 252799: x ♣ y = x^2 + y^2 If x ♣ y = 45, And x = 3, what is y ? Click here to see answer by richwmiller(9135)

 Question 252797: A telephone company charges 25 cents per minute for the first 5 minutes of each call and 10 cents a minute for each minute after 5. What does a t minute phone call over 5 minutes cost in dollars? A) .15t B) .2t C) 1.25 + .10t D) 1.25 + .25t E) 1.25 + .10(t – 5) Click here to see answer by richwmiller(9135)

 Question 252792: In the addition problem below, each letter represents a different single digit. CB +AA --------- CCC What is B? Click here to see answer by Edwin McCravy(8909)

 Question 252808: A student gets 70% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject. Click here to see answer by richwmiller(9135)

 Question 252813: The population of a city increases @ 4% p.a. There is an additional annual increase of 4% of the population due to the influx of job seekers, find the % increase in population after 2 years ? Click here to see answer by JimboP1977(308)

 Question 252812: Instead of multiplying a number by 7, the number is divided by 7. What is the percentage of error obtained ? Click here to see answer by nerdybill(6958)

 Question 252811: There are 12 boys and 15 girls, How many different dancing groups can be formed with 2 boys and 3 girls. Click here to see answer by richwmiller(9135)

 Question 252788: A unicycle has a wheel with a diameter of 2 and travels a distance of 250Π. How many times did the wheel rotate? Click here to see answer by richwmiller(9135)

 Question 252782: A road is to be constructed perpendicular to an established road. A surveyor determines that the original road passes through the points (4,9) and (2,13). The roads must intersect at (4,9) Write the equation of the second road. Click here to see answer by rapaljer(4667)
 Question 252782: A road is to be constructed perpendicular to an established road. A surveyor determines that the original road passes through the points (4,9) and (2,13). The roads must intersect at (4,9) Write the equation of the second road. Click here to see answer by checkley77(12569)
 Question 252782: A road is to be constructed perpendicular to an established road. A surveyor determines that the original road passes through the points (4,9) and (2,13). The roads must intersect at (4,9) Write the equation of the second road. Click here to see answer by JimboP1977(308)

 Question 252816: A piece of rural land sold 10 years ago for \$40,000. The price for the same piece of land this year costs \$800 more per acre, and it sold for \$60,000. What is the size of the piece of land in acres? Explain how you got this answer. Click here to see answer by richwmiller(9135)

 Question 252830: Hello, I am having trouble figuring out this problem. Will you help me? A rocket burns up at the rate of 2.5 tons/minute after falling out of orbit into the atmosphere. If the rocket weighed 6000 tons before reentry, express its weight w as a function of the time t, in minutes of reentry. Click here to see answer by rapaljer(4667)

 Question 252832: In a test of a heat-seeking rocket, the target rocket is launched at 2000 ft/sec and the heat-seeking rocket is launched along the same flight path 12 seconds later at a speed of 3200 ft/sec. Find the times t1 and t2 of flight of the rockets until the heat-seeking rocket destroys the first rocket. Click here to see answer by Alan3354(30993)

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