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:
- Chose
Chose Juan bought three pieces of watermelon. If the weights of the three watermelons are 2.2103 kilograms, 3.0214 kilograms, and 2.6682 kilograms, how many kilograms of watermelons did Chose Juan buy? - Sorting ASC
Which group of decimals is in order from least to greatest? A) 1.04, 0.39, 0.8, 2.1, 0.09 B) 2.1, 1.04, 0.39, 0.8, 0.09 C) 0.09, 0.39, 0.8, 1.04, 2.1 D) 0.09, 0.39, 0.8, 2.1, 1.04 - Necklaces
Mohammad sells beaded necklaces. Each large necklace sells for $4.50, and each small necklace sells for $4.10. How much will he earn from selling five large necklaces and four small necklaces? - Grayson
Grayson bought snacks for his team's practice. He bought a bag of oranges for $3.11 and a 24-pack of juice bottles. The total cost before tax was $50.15. How much was each bottle of juice?
- Potato Chips
Haydn has a 3-pound bag of Lay's Potato Chips. His four friends want him to split the bag evenly between them (and Haydn). How many pounds of Lay's potato chips will each person get? - Youth track
Youth track from Hronská Dúbrava to Banská Štiavnica, which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate the size of subsidies to a trip group - The mean - mi
Find the mean of 3 5 8 4 10. - Twizzlers
A five pack of Twizzlers costs $3.75. What is the unit rate? - The rectangle 7
The rectangle shown has a length (l) of 8 and a width (w) of 6.2. A second rectangle has a length of l + 2.5 and a width of w - 1.4. Find the area of the SECOND rectangle.
- Megapolis
The total population of a city consists of 641,682 male adults, 593,118 female adults, and 182,345 children. Find the total population of the city. - Money balance
At the beginning of the month, Hector had $52.43 saved up. He then earned $16.94 doing chores and spent $20.35 at the mall. How much money does he have now? - ABCD on a map
Dinesh went from place A to place B and from there to place C. A is 7.5 km from B, and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A, and C is 11.8 km from D. Who traveled more, and by how much? - Bananas 4
Ms. Morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound . How much did she pay for the bananas and pineapple? - Determine 216
Determine the quotient; (-20) divided by ( -4) =? A) +6 B) - 6 C) +5 D) -5
- A car 9
A car travels at 34 km/hr. How far does it take to travel in 2 hours? - No problem
No problem; here are five decimal addition problems for you to practice: 1. What is the result of 3.5 + 2.1? 2. What is the result of 0.8 + 0.3? 3. What is the result of 5.2 + 1.7? 4. What is the result of 2.5 + 0.9? 5. What is the result of 1.4 + 0.6? I - Unit price 3
A grocery store sells a bag of 6 oranges for $5.64. How much would it cost for 8 oranges?