Pumps

Pump that draws water at velocity 3.5 liters per second water from a construction trench take 35 minutes.

a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second.
b) What is the pumping velocity would have had to pump that water from the trench after a maximum 25 minutes?

Result

t2 =  16.55 min
v3 =  4.9 l/s

Solution:

Q=v1t1=v2t2  t2=v1v2t1=3.57.435=16.55 min Q = v_1 t_1 = v_2 t_2 \ \\ \ \\ t_2 = \dfrac{ v_1 }{ v_2} t_1 = \dfrac{ 3.5 }{ 7.4} \cdot 35 = 16.55 \ \text{min} \ \\
v1t1=v3t3  v3=v1t1t3=3.53525 v3=4.9 l/sv_1 t_1 = v_3 t_3 \ \\ \ \\ v_3 = v_1 \cdot \dfrac{ t_1 }{ t_3 } = 3.5 \cdot \dfrac{ 35 }{ 25} \ \\ v_3 = 4.9 \ \text{l/s}



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.
Check out our ratio calculator.
Do you know the volume and unit volume, and want to convert volume units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

Next similar math problems:

  1. Three pumps together
    pumps One pump fills the tank in 1.5 hours, the second in 2 hours, and the third in 3 hours 20 minutes. How many minutes will the tank fill with three pumps if they work simultaneously?
  2. The wellbore
    water The wellbore has a tributary of 2 m3 per hour. When there is no tapping, there are a stable 28 liters of water in the well. The pump suction basket is at the bottom of the well. At 14.00, the water was pumped out at a rate of 0.5 liters of water every se
  3. Mail train
    train_freight_3 The speed of mail train is 1370 meter per minute. Express it in miles per hour correct to three significant figure . Given that 1 meter =39.37 inches.
  4. Sputnik
    sputnik The first Earth satellite was flying at speed 8000 m/s. At that rate he circled the earth in 82 minutes. Jet flies at an average speed 800 km/h. How long would it take circle the earth round?
  5. Drive to NJ
    motion Ed drove to New Jersey at 30mph. He drove back home in 3 hours at 50 mph. How many hours did it take Ed to drive to New Jersey?
  6. Average speed
    cyklo The average speed of a pedestrian who walked 10 km was 5km/h, the average speed of a cyclist on the same track was 20km/h. In how many minutes did the route take more than a cyclist? Q
  7. 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?
  8. Lunch
    lunch Jane eats whole lunch for the 30 minutes. Which part of the lunch is eaten in 180 seconds?
  9. Simplify 2
    expr Simplify expression: 5ab-7+3ba-9
  10. Greg and Bill
    Clock0400_12 Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill?
  11. Holidays - on pool
    pool_4 Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
  12. A clock
    clocks2_19 A clock was set right at 6:00 AM. If it gains 3 1/2 minutes per hour, what time will it show at 6:00 PM on the same day? Show your solution
  13. Ages
    calendar Father is 36 years old, his daughter is 4 years old. Write down the ratio of the age of father and daughter. In what ratio will the ages of father and daughter after 4 years?
  14. Tank of fuel
    fuel A 14.5-gallon tank of fuel is 3/4 full. How many more gallons will it take to fill up the tank?
  15. Age ratio
    calendar Janko is 14 years old. The age ratio of Janka and Zuzka is 2: 3. What was the ratio seven years ago?
  16. Father and daughter
    family Father is 36 years old, daughter is 20 years less. What will be the ratio between them when they are 10 years more?
  17. Three men
    GUYS Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old?