Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
Correct answer:
Showing 3 comments:
Math student
1/t1+1/(t1-10)=1/18
multiply each term by18(t1)(t1-10)
that results in
18(t1-10)+18t1=t1(t1)(t1)-10t1
using the quadratic formula results in t1=-49.6 and 3.63
ubless i made a mistake, your calculations need reexamination!!! Correct me, please.
multiply each term by18(t1)(t1-10)
that results in
18(t1-10)+18t1=t1(t1)(t1)-10t1
using the quadratic formula results in t1=-49.6 and 3.63
ubless i made a mistake, your calculations need reexamination!!! Correct me, please.
5 years ago 3 Likes
Dr Math
right side of equation is wrong - should be t1*(t1-10) = t12 - 10*t1 now t13-10t1
5 years ago 1 Like
Math student
the problems seems to have changed - - - t2 is now equal t1-6
therefore 1/t1+1/(t1-6)=1/18
multiplying each term by18(t1)(t1-6) ==== 18(t1-6)+18t1=t1(t1-6), simplifying further 18t1-108+18t1=t12-6t1
or 0=t12-6t1-18t1+108
graphing y=18(t1-6)+18t1-t1(t1-6) results in t1=39.25 hours and t2=39.25-6=33.25 hours (same as your NEW answer!!!!
therefore 1/t1+1/(t1-6)=1/18
multiplying each term by18(t1)(t1-6) ==== 18(t1-6)+18t1=t1(t1-6), simplifying further 18t1-108+18t1=t12-6t1
or 0=t12-6t1-18t1+108
graphing y=18(t1-6)+18t1-t1(t1-6) results in t1=39.25 hours and t2=39.25-6=33.25 hours (same as your NEW answer!!!!
Tips for related online calculators
Looking for calculator of harmonic mean?
Looking for a statistical calculator?
Are you looking for help with calculating roots of a quadratic equation?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
Do you want to convert time units like minutes to seconds?
Looking for a statistical calculator?
Are you looking for help with calculating roots of a quadratic equation?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
Do you want to convert time units like minutes to seconds?
You need to know the following knowledge to solve this word math problem:
- statistics
- harmonic mean
- algebra
- quadratic equation
- equation
- system of equations
- arithmetic
- square root
- square (second power, quadratic)
- exponentiation
- basic functions
- reason
- inverse relationship
- direct relationship
- numbers
- fractions
- real numbers
Units of physical quantities:
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- Powers of three
Simplify to a single power of 3: 35/3 Words: start fraction, 3, to the power 5, divided by, 3, end fraction. - Twice squared
If the square of twice a number is 81, what is the number? Give a positive number x. - Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Evaluate 37
Evaluate the function K(x) = 2x²+3x-2 what is the value of K(½) - Body mass index
Compute for BMI, then classify: 1weight-35 kg Height- 1.25 m 2 weight-40 kg Height- 1.40 m 3 weight- 50 kg Height-1.75 m 4 weight-55 kg Height-1.65 m 5 weight-63 kg Height-1.23 m - LCM of polynomials
Find the lcm of 4x³ + 8x² and 5x² -20 - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Which 10
Which will have greater momentum between a ten-wheeler truck weighing 7,000 kg and a bus that weighs 5,000kg if the bus is moving at 15 m/s while the truck is moving at 10 m/s? - Two expressions
When x = 3 and y = 5, how much does the value of 3x² – 2y exceed the value of 2x² – 3y? - Comparing exponents
A) 8 (6²)(8²) b) 16 (6²)(8²) c) (6¹+²) (8²) - Mohammed
Mohammed grew a garden last year. His plot of land was 6 3/4 feet by 10 feet. He wants to have twice as much area and his garden this year. How much area will the new garden take up? - Fraction unknowns
Divide fractions with unknowns: Fraction 1: The quantity x squared plus 6 times x plus 9 over the quantity x minus 1. Fraction 2: the quantity x squared minus 9 over the quantity x squared minus 2 times x plus 1. Find Fraction 1 over Fraction 2. - Kilograms 48761
Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m? - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - What is 10
What is the measure of the square side whose area is (4x² + 28x+49) square units? - Extending square garden
Mrs. Petrová's garden had a square shape with a side length of 15 m. After its enlargement by 64 m² (square), it had the form of a square again. How many meters has the length of each side of the garden been extended? - Quadrilateral 29201
How much sheet is needed for a roof with the shape of a regular quadrilateral pyramid if its edge is 2.8 m long and the height of the roof is 0.8 m?Calculate 10% for the overlap (extra).