Home
Class 12
MATHS
A tank initially contains 50 gallons of ...

A tank initially contains 50 gallons of fresh water. Brine contains 2 pounds per gallon of salt, flows into the tank at the rate of 2 gallons per minutes and the mixture kept uniform by stirring, runs out at the same rate. If it will take for the quantity of salt in the tank to increase from 40 to 80 pounds (in seconds) is `206lambda`, then find `lambda`

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|4 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 7 :|1 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|3 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

A rectangular tank is 80 m long and 25 m braod water flows into it through a pipe whose cross section is 25 cm^2 , at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.

Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank. The water is collected in a cylindrical vessel, radius of whose base is 60 cm. find the rise in the level of water in 30 minutes?

The apparent depth of water in cylindrical water tank of diameter 2 R cm is reducing at the rate of x cm //min when water is being drained out at a constant rate .The amount of water drained in c.c. per minute is (mu_(1) = refractive index of air, mu_(2) = refractive index of water)

Water flows out through a circular pipe, whose internal diameter is 2 cm, at the rate of 0.7 m per second into a cylindrical tank, the radius of whose base is 40 cm. By how much will the level of water rise in half an hour ?

A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 metre per second. In how many time the tank will be filled?