The Rushville fire department uses three pumps to remove water from flooded basements. Each of the three pumps can remove all the water from a flooded basement in 4 hours, 3 hours, and 2 hours, respectively. If all three pumps work together how long will it take to empty the basement?

The Rushville fire department uses three pumps to remove water from flooded basements. Each of the three pumps can remove all the water from a flooded basement in 4 hours, 3 hours, and 2 hours, respectively. If all three pumps work together how long will it take to empty the basement?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter7: Rational Expressions And Functions

Section7.5: Solve Applications With Rational Equations

Problem 307E: Mia can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If...

See similar textbooks

Related questions

Q: At a parking lot, the attendant can wait on 60 people per hour. If people arrive randomly at an…

A: We need to find value of x.

Q: log(-x + V 2 log -x + x² + 1}• log{x + Vxn ,2 + V x +1

A: use property of logarithm.

Q: Graph the line represented by each equation 40x -10y = 20

Q: The temperature T(t), in degrees Fahrenheit, during the day can be modeled by the equation T(t) =…

A: T(t)=-0.7t2+9.7t+58.8a) T'(t)=0 ⇒-1.4t+9.7=0 ⇒t=-9.7-1.4 ⇒t=6.9After 6.9 hours

Q: A unit circle with center P is shown. In circde P, LJPK is a right angle, mZ HPJ = ;mZ JPK, and mZ…

Q: please

Q: 3. Given the following vectors: S = 3i -j+ 5k P = 2i + 4j - 6k +9K Q = -7i + 2j + 9k %3D Obtain the…

Q: Describe the end behavior of the following functions, and identity horizontal asymptotes. 3x3 a)…

A: Solve the following

Q: Solve the quadratic equation for k in simplest form. 1010101010101010 10:0:0101/ 0101 13 Show…

Q: Use the quadratic formula to solve the equation 9x2+24x+23=0.

A: Solving the problem by finding the value of x

Q: In addition to being able to show that the lines are parallel using their only a writing tool,…

A: parallel line never intersect each other

Q: Given the function f(x) =-x-3 which of the following is TRUE? S(h-1) =-h-4 O f(3) = 6 S(3) +…

A: The given function is f(x) = - x - 3

Q: 7. Determine if the set S = {-1+ x², 5+ 2x} of vectors in P2 is linearly independent or linearly…

Q: If we take twice one number and add three times a second number, we get 47 while the difference of…

A: Given : Addition of the twice of the first number and three times the second number is 47.…

Q: Which of the following relations is NOT a function? y = (x+2}° y =tVx 8 y x-3 y = 2"

A: The objective is to find which relation is not a function.

Q: 2 E AUB implies that 2 E A and 2 e B. Select one: O True False

Q: Given the two vectors find: i) The vector projection of a in the direction of b ii) The vector…

Q: For f(x) = 7x+4 and g(x) =x, find the following composite functions and state the domain of each.…

Q: A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to…

Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Gary is paid $15.50 per hour in addition to a weekly salary of $50. This week he wants to earn more…

Q: Bestie School has teams only in volleyball, swimming. Soccer, and basketball. Kim, Judiel, Miguel,…

Q: Organize the steps for constructing an angle that is congruent to another angle. A. Place the…

Q: A jumping jack rabbit hops over the fence from same ground level elevation. Its hop is modeled by…

A: Let's find.

Q: PLEASE CIRCLE YOUR FINAL ANSWERS Q1. Determine the arc length & radian measure for a central angle…

A: We need to find arc length and radian measure of angle.

Q: Which of the following expressions an equivalent to 3x + 12x? Circle ALL that apply. A. х(3 + 12) В.…

A: Solution: Here 3x+12x -(1)

Q: Translate V x 3 y (x < y) in English, considering domain as a real number for both the variable. O…

Q: {2} € A and {3} E A implies that {2, 3} C A. Select one: O True O False

Q: For the three-part question that follows, provide your answer to each question in the given…

A: PART A:Population growth formula;P(x) = Pi (1+r)x x=the number of daysr=rate of growthPi= Initial…

Q: Question 4: 1 is to 2, as 3 is to 4 ? ов O A O D ос C

Q: Find an expression for the function f(æ) whose graph is a line passing through the points (2, 3) and…

Q: Find the area of the trapezoid shown below 7 14.4 14 15.7 17 5

A: topic - area of trapezoid area of trapezoid=(sum of parallel sides)*height /2

Q: Which of the following is TRUE of the given coordinates below? (-4,-3), (1,-8) , (-4,-14), (9,-16) O…

A: The coordinates,-4,-3, 1,-8, -4,-14, 9,-16

Q: Mario's father is building a skateboard ramp in the shape of a triangular prism. Part A The surface…

Q: 5. The sales S of a journal is a function of the number of pages devoted to important stuff about…

Q: Let A and B be matrices defined as and B= 10 Find a matrix X which satisfies the following matrix…

Q: 3. 'Prove or disprove: if A and B are denumerable, then AN B is denumerable.

A: We know, For any two sets A and B the set A∩B is a subset of both the sets A and B. Any subset of a…

Q: Let f: A → B, g: B →C be bijections. Then prove that (gof) =f'og

Q: 1. A student estimated that it would take 3 hours to write a book report, but it actually took her 5…

Q: Make up a question that has 25 -1 as its solution. Explain.

Q: Consider the quadratic model h)-16 401+50 for the height (in feet), h, of an object t seconds after…

A: answer is in next step

Q: When proving Ac B, you assume x e A and x e B Select one: - True O False

Q: 11:41 1. Graph the following functions. Be sure to include the following (if they exist): • Domain •…

A: As you have asked to solve number c only, so I am solving only that. Thank you. Domain of a…

Q: a) First a quick warm up: Given A = {a, 6, c}, write out all its sub b) Let B be a set of n…

Q: baisis for the subspace of K of Find that consists of all vectors of the forMm Ca, b, c,d) d= a-7b.…

Q: 9. 8

Q: -3 Given A = {a, b, c} B = {a, c, d, e}C= {a, d, f, g} find: 4. BnC %3D 5. AUC 6. AUBUC

Q: Perform the indicated operations and write the result in standard form. 1. (1- 3) + (4- 6i) 2. (-5 -…

A: We have to find the complex number As per guideline we have to solve three subparts

Q: Find an equation for the ellipse Center at (1,3), a=5c%=3major avis vertical The equation for the…

A: Given that center at (1,3); a=5; c=3; major axis vertical. Here we have to find an equation for the…

Q: x² +2x+3, x² – x– 12 What value is a discontinuity of Ox= -1 Ox= -2 Ox=-3 Ox = -4

A: The given function is fx=x2+2x+3x2-x-12 It is known that, a point of discontinuity for a rational…

Question

The Rushville fire department uses three pumps to remove water from flooded basements. Each of the three pumps can remove all the water from a flooded basement in

hours,

hours, and

hours, respectively. If all three pumps work together how long will it take to empty the basement?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

One gardener can mow a golf course in 4 hours, while another gardener can mow the same golf course in 6 hours. How long would it take if the two gardeners worked together to mow the golf course?
Mia can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If they work together, how long would it take them to clean the apartment?
Mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do the job in 6 hours. How long does it take for them to build a wall together?
Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work together, how long will it take?
The weekly news magazine has a big story naming the Person of the Year and the editor wants the magazine to be printed as soon as possible. She has asked the printer to run an extra printing press to get the printing done more quickly, Press #1 takes 6 hours more than Press #2 to do the job and when both presses are running they can print the job in 4 hours. How long does it take for each press to print the job alone?