The wellbore

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 second. What time will the water in the well be depleted?

Result

t = hh:mm (Correct answer is: INF)

Step-by-step explanation:

$$\begin{gathered} Q=2000\text{ l/h } \\ {Q}_1=Q\mathrm{/}3600=2000\mathrm{/}3600={\displaystyle \frac{5}{9}}\doteq 0.5556\text{ l/s } \\ {Q}_2=0.5\text{ l/s } \\ {Q}_2<Q_1 \\ V=28\text{ l } \\ x\cdot Q_2=V+Q_1\cdot x \\ t=\mathrm{\infty } \end{gathered}$$

Try another example

Related math problems and questions:

• 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 wo
• Two water containers
  In the first container, there are 200 m³ of water and in the second 40 m³. The first container will flow down at a rate of 10 m³ water per hour. At the same time flows to the second rate of 5 m³ per hour. After how many hours there will be three times les
• A clock
  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
• The caravans
  At 6:00 in the morning, a caravan set out of the oasis at a speed of 1.5 miles per hour. Two hours later, a second caravan followed her at 2.5 miles per hour. When did the faster caravan run slower? How far from the oasis?
• Two machines
  The first machine can produce parts in 24 hours, the second in 16 hours. The first started working at 6:00 pm. Second at 10:00 o'clock. At what hour were all parts made?
• Octagonal prism vase
  0.7 l of water can be poured in an octagonal prism vase. What is the height of the vase, if the bottom has a area of 25 cm square and a thickness of 12 mm?
• Water well
  Drilled well has a depth of 20 meters and a 0.1 meters radius. How many liters of water can fit into the well?
• The well
  The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters and the depth of water in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water is in the well?
• Tanker
  An oil tanker can be emptied by the first pump in 4.9 hours. Second pump can empty an tanker in 8 hours. If the first pump started at 4:00 and second 1.4 hour later, at what time will the tanker be empty?
• Temperature 5
  Temperature outside starts at 0 Fahrenheit. Over time the temperature changes at a rate of -0.6 Fahrenheit per hour. How long will it take for the temperature to reach -4.5 Fahrenheit?
• Stones in aquarium
  In an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep, the water is up to three-quarters of the depth. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
• Pumps
  First pump flows 16 liters per second into the basin by the second pump 75% of the first and by third pump half more than the second. How long will take fill basin by all three pumps simultaneously volume 15 m³ (cubic meters)?
• Pit
  The pit has the shape of a truncated pyramid with a rectangular base and is 0.8 m deep. The pit's length and width are the top 3 × 1.5 m bottom 1 m × 0.5 m. To paint one square meter of the pit we use 0.6 l of green color. How many liters of paint are nee
• Cooling liquid
  Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with 2 volumes of water). How many coolant volumes must be prepared for a total of 0.7 dm³ (liters) of the mixture?
• The dam
  The water reservoir is filled with first tributary for 25 hours second tributary for 35 hours. Some time were both inlets open, then a second tributary closed and the tank was filled in four hours. What time water flowed from both tributaries? (Expressed
• Container
  The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
• Tanks
  The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used if the water level in the tank fallen 5 cm? W