Tributaries

The pool can be filled with two different tributaries. The first inflow would fill the pool in 18 hours, both in 6 hours. How many hours would the pool filled with a second inflow?

Result

x =  9 h

Solution:

6⋅ (1/18+1/x)=1 y=1/x  6⋅ (1/18+y)=1  108y=12  y=19≐0.111111  x=1/y=1/0.1111=9 h6 \cdot \ (1/18 + 1/x)=1 \ \\ y=1/x \ \\ \ \\ 6 \cdot \ (1/18 + y)=1 \ \\ \ \\ 108y=12 \ \\ \ \\ y=\dfrac{ 1 }{ 9 } \doteq 0.111111 \ \\ \ \\ x=1/y=1/0.1111=9 \ \text{h}

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Tip: Our volume units converter will help you with the conversion of volume units.
Do you want to convert time units like minutes to seconds?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Sprayers
    postrekovac The vineyard can be sprayed first sprayer in 5 hours and with the second in 8 hours. How long would it take if we use sprayers both at once?
  2. Simple equation 6
    eq1_9 Solve equation with one variable: X/2+X/3+X/4=X+4
  3. Equation with fractions
    go Solve equation: ? It is equation with fractions.
  4. Eqn
    fractal_16 Solve equation with fractions: 2x/3-50=40+x/4
  5. Fraction + eq
    eq1 Solve following simple equation with fractions: -5/6(8+5b) = 75 + 5/3b
  6. Pumps A and B
    pump_2 Pump A fill the tank for 12 minutes, pump B for 24 minutes. How long will take to fill the tank if he is only three minutes works A and then both pumps A and B?
  7. Two workers
    clock-night-schr_12 The first worker would himself completed the work in 8 hours, the other in 6 hours. After two hours of joint work left the first worker to a doctor and other completed work himself. How many hours worked the other worker himself?
  8. Two machines
    clock-night-schr_1 The first machine can produce parts in 24 hours, the second in 16 hours. The first started working in the morning at 6:00 pm. Second at 10:00 o'clock. At what hour were all parts made?
  9. Milk
    milk_5 At the kindergarten, every child got 1/5 liter of milk in the morning and another 1/8 liter of milk in the afternoon. How many liters were consumed per day for 20 children?
  10. Unknown number
    nums Identify unknown number which 1/5 is 40 greater than one tenth of that number.
  11. Equation
    rovnice_3 Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
  12. One third
    one-third If 3/5 is 360, how much is 1/3?
  13. Unknown number
    fractions_6 I think the number - its sixth is 3 smaller than its third.
  14. UN 1
    bulb2 If we add to an unknown number his quarter, we get 210. Identify unknown number.
  15. Vehicle tank
    fuel_pump2 A vehicle tank was 3/5 full of petrol. When 21 liters of fuel was added it was 5/6 full. How many liters of petrol can the tank hold?
  16. Simple equation
    axes_1 Solve for x: 3(x + 2) = x - 18
  17. Strawberries
    strawberries Father collects strawberries himself in 4 hours, son in 14 hours. How long will it take them along when dad comes to help son collect strawberries after 3 hours?