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 are 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 are 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:
- Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 275 tiles.
- Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree . Find the original height of the tree. - Sides to area
If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area? - Triangular field
Find the area of a triangular field whose sides are 78m, 50m, and 112m. - Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
- Mean proportional
What will be the mean proportion between 4 and 25? - Add five to lcm
The least number, which, when diminished by 5, is divisible by each of 21, 28, 36, and 45. - LCM and HCF 2
If the product of two numbers is 5780 and their HCF is 17, then what is their LCM? - Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - Remainder one
Find the least number when divided by 2,3,4,5,6, and 7, leaving the remainder as 1 in each case.
- Divisible by three
What least value must be assigned to the blank space so that the number 789563 is divisible by 3 - Paul makes
Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube? - Two chords 6
A chord PQ is 10.4cm long, and its distance from the center of a circle is 3.7cm. Calculate the length of a second chord RS, which is 4.1cm from the center of this circle.