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

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Question 1199453: Lynn and Farrah were asked to fill the tank with water. Lynn is twice faster than Farrah. Together, they filled it in two hours. How many hours can each of them alone fill the tank?
Click here to see answer by ikleyn(52754)

Question 1199476: In my class the total number of students who take Geotechnical only, Theory only and Hydraulics only is 12. The total number of students who takes Hydraulics only is twice the number of students who takes Geotechnical only and the number of students who take Theory only is thrice the number of student who takes Geotechnical only. The number of students who take Theory, Geotechnical, and Hydraulics is 3, the number of students who take Theory and Geotechnical is 5, the number of students who take Theory and Hydraulics is 8, and the number of student who take Geotechnical and Hydraulics is 7. Determine the total number of students who take Hydraulics
Click here to see answer by Edwin McCravy(20054)

Question 1199478: Mimi starts her homework at 7:00 p.m. and plans to work until 9:50 p.m. At one point, Mimi looks up at the clock and sees the time is 9:14. The fraction of her homework time that remains is __
Click here to see answer by josgarithmetic(39613)

Question 1199568: Bob threw a ball upward at a velocity of 10 m/s while standing on the roof of a building that was 12 m high. What was the height of the ball after 2 seconds?
I am using h= -16t^2 +10t + 12
if I substitute 2 for t, I get -32. How can I get negative time?
Click here to see answer by htmentor(1343)

Question 1199577: Prove that there is only one pair of (integer) perfect squares that differ by 53, and find it.
Click here to see answer by math_tutor2020(3816)

Question 1199592: In a school of 698 students, 172 played basketball, 545 played soccer and 35 played both. How many students played neither one of these games?
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Question 1199590: Hi
Box A contains $1 coins box B contains 50 cent coins and box C contains 20cent coins. A has 5 times as many coins as C. B has 12 fewer than A. C has half the number in B. How much money is in box A.
Thanks
Click here to see answer by math_tutor2020(3816)

Question 1199610: Each letter in this multiplication problem stands for a different digit and every letter always stands for the same digit wherever it appears.What is the value of TROUT?
ROOT
x U
------
TROUT
Click here to see answer by greenestamps(13195)

Question 1199672: Solve Algebraically:
2x-1
Click here to see answer by josgarithmetic(39613)

Question 1199683: Solve 2x-1 < x+7/x+1 algebraically.
Thank you
Click here to see answer by greenestamps(13195)

Question 1199690: If a bicycle wheel makes 7 rotations a second and has a diameter of 75cm, what cosine function describes the height of a point on the edge of the wheel ?
Click here to see answer by htmentor(1343)

Question 1199698: A broccoli costs $2, a cauliflower costs 50% more than a broccoli and a bunch of asparagus costs
twice as much as a broccoli. What is the cost of 4 broccolis, 3 cauliflowers and 2 bunches of
asparagus?
Click here to see answer by ikleyn(52754)

Question 1199674: Please help me solve this equation
Zack invested $5,500 in a mutual fund with an offer price of $20.40 and a net asset value of $10.50. How many shares did Zack purchase? Round to thousandths.
Click here to see answer by ikleyn(52754)

Question 1199717: Car Survey: In a survey of 19000 people who owned a certain type of car, 1045 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Click here to see answer by math_tutor2020(3816)

Question 1199748: A centurion in the ancient roman army commanded his 100 troops to stand facing him in two groups: 50 men to his left and the other 50 to his right, numbered 1 to 100, from left to right. To choose a few men for an operation he told his troops to face backwards. Then every man with an even number was to face the front. Next, every man with a number divisible by 3 was to change his orientation (front to back or back to front). Next, every man with a number divisible by 4 was to change his orientation, and so on up to every man with a number divisible by 50 was to change his orientation. Finally, he told the 50 men on the right to all change their orientation. Those facing backwards were to go on the mission. How many was that?
Click here to see answer by math_tutor2020(3816)

Question 1199776: A drill sergeant is facing the troops who stand facing due south. the drill sergeant gives you the instructions: "Left turn! About turn! Right turn! Right turn! About turn! Left turn! About turn!" After following these directions in order, the troops face
a) north
b) south
c) west
d) east
e) southeast
Click here to see answer by ikleyn(52754)

Question 1199790: write a rational function that has a vertical asymptote at x=3, a hole at x=-2 and a horizontal asymptote at y=2/3
Click here to see answer by greenestamps(13195)

Question 1199793: Determine the zeros of f(x)=x^2-3x-4 and estimate the instantaneous rate of change in f(x) at the zeros
Click here to see answer by ikleyn(52754)

Question 1199730: (1,2) is a point on the graph of y=f(x). Find the corresponding point on the graph of each of the following functions.
(a) y=2+f(-x)
(b) y= 3f(x-5)-1
(c) y=f(3x-5)-1

Click here to see answer by Edwin McCravy(20054)

Question 1199699: (1,2) is a point on the graph of y=f(x) Find the corresponding point on the graph of each of the following functions.
(a) y=2+f(-x)
(b) y=3f(x-5)-1
(c) y=f(3x-5)-1
Click here to see answer by Edwin McCravy(20054)

Question 1199872: Hi
Howard had 40% more stickers than ivan .Howard gave away some stickers and the number decreased by 60%. Both had a total of 468 stickers in the end. How many did Howard give away.
Thanks
Click here to see answer by greenestamps(13195)

Question 1199914: The sum of two numbers is 50 . The greater number is four less than five times the lesser number. Find the numbers.
Click here to see answer by josgarithmetic(39613)

Question 1199918: Mulch is sold by the cubic yard. To estimate number of cu. yds. needed for a circular bed, determine sq. footage.
Sq. footage = area of circle (pi * r^2).
3.1416 * 10^2 = 314 sq. ft. (10 ft. is example).
Convert sq. ft. to cu. ft.
Depth of mulch in inches.
314 * 4 (depth wanted) = 1256
Divide by 324: 1256 / 324 = 3.876 = 4 cu. yds.
My question: What does the 324 signify?
Note: 324 is used also for a square or rectangular bed (after obtaining sq. footage, multiply by depth of mulch needed, and again / by 324.)

Click here to see answer by greenestamps(13195)

Question 1199945: Hi
Towns c and d are 220km apart. A truck driver and a taxi driver start off at the same time c to d . The taxi driver reached d 5/3 hours ahead of the truck driver who still had 100km to go.
What was the speed of the truck driver.
Thank you

Click here to see answer by ikleyn(52754)

Question 1199961: Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money invested in bonds must be at least twice as much as that in stocks. But the money invested in bonds must not be greater than $18,000. If the bonds earn 6%, and the stocks earn 8%, how much money should he invest in each to maximize profit?
Click here to see answer by ikleyn(52754)

Question 1200023: A bat and ball together cost $31.00. The bat costs $15 more than the ball. What is the cost of one bat and two balls?

Click here to see answer by Alan3354(69443)

Question 1200023: A bat and ball together cost $31.00. The bat costs $15 more than the ball. What is the cost of one bat and two balls?

Click here to see answer by ikleyn(52754)

Question 1200032: Hulio and Josie live down the street from each other, 1500 meters apart. They leave their homes at the same time, walking towards each other. Hulio travels at a rate of 2000 meteres an hour and josie travels at a rate of 4000 meters an hour. How far apart are they after they walk for 15 minutes?
Click here to see answer by ikleyn(52754)

Question 1200033: A cube measuring 6cm a side is painted red, and then cut up into 216 smaller cubes each in volume. How many of the smaller cubes are painted on exactly one surface
Click here to see answer by ikleyn(52754)

Question 1200031: What is todays date if September 30th was two days after nine days before the day after two days following the day after tomorrow?
Click here to see answer by ikleyn(52754)

Question 1200035: A cube measuring 6cm a side is painted red, and then cut up into 216 smaller cubes each in volume. How many of the smaller cubes are painted on exactly one surface? How many of the smaller cubes have no paint on them at all?
Click here to see answer by ikleyn(52754)

Question 1200034: Cars traveling at 120 km/h on a highway to Florida during the march break are separated, on the average, by only 5 m. There are 1000 cars on a straight stretch of the highway. If each car averages 3.5m in length how far is it from the back of the last car to the front of the first car?
Click here to see answer by math_tutor2020(3816)

Question 1200071: a body b is dropped from the top of the tower 100m high at the same instant that a body a is thrown vertically upward from the ground. the two bodies pass each other at a height of 21.6m from the ground.
a. Initial velocity og body A?
b. Maximum height of body A?
C. Final velocity of body B?
Click here to see answer by ikleyn(52754)

Question 1200070: a body b is dropped from the top of the tower 100m high at the same instant that a body a is thrown vertically upward from the ground. the two bodies pass each other at a height of 21.6m from the ground.

Click here to see answer by ikleyn(52754)

Question 1200075: What is the speed of sound in air when the temperature is 0°C (the temperature aat which water freezes )? Round to the nearest foot per second
Click here to see answer by ikleyn(52754)

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