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:
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - 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. - Quadratic equation - Viets
In the equation 3x²+bx+c=0, one root is x1 = -3/2. Determine the number c so that the number 4 is the root of the equation. Hint - use Viet's formulas. - The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light - 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) - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m - The sequence
Find the nth term of the progression 2,6,12,20... - Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after ten years. What is the amount he needs to invest? - LCM of polynomials
Find the lcm of 4x³ + 8x² and 5x² -20 - Inspect 5
Inspect the sequence and complete the following statement: seq: 1, 4, 9, 16, 25, 36, 49 The first two numbers differ by a. The second and third numbers differ by b. The third and fourth numbers differ by c. The difference between any two successive number - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - 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?