Home
Class 10
MATHS
It can take 12 hours to fill a swimming ...

It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. How long would it take for each pipe to fill the pool seperately?

Text Solution

Verified by Experts

The correct Answer is:
20 hours by pipe of larger diameter,
30 hours by pipe of smaller diameter
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Objective Questions (True or False)|5 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

  • POLYNOMIALS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

Two pipes running together can fill a tank in 11(1)/(9) minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each pipe would fill the tank separately.

Two water taps together can fill a tank in one hour and twelve minutes. The tap of smaller diameter takes 1 hour more than the larger one to fill the tank separately. Find the time in which each tap can separately fill the tank.

Two water taps together can fill a tank in 9(3)/(8) hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs. 5 and that from a shade is Rs. 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit ?

(Manufacturing problem) A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table : She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit ?

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km// h, in how much time will the tank be filled ?

Scientists are working hard to develop nuclear fusion reactor Nuclei of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy. In the core of fusion reactor, a gas of heavy hydrogen of _(1)^(2) H is fully ionized into deuteron nuclei and electrons. This collection of _1^2H nuclei and electrons is known as plasma . The nuclei move randomly in the reactor core and occasionally come close enough for nuclear fusion to take place. Usually , the temperature in the reactor core are too high and no material will can be used to confine the to plasma for a time t_(0) before the particles fly away from the core. If n is the density (number volume ) of deuterons , the product nt_(0) is called Lawson number. In one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following boltzmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fusion reactor at temperature energy T are moving toward each other, each with kinectic energy 1.5 kT , when the seperation between them is large enough to neglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

Scientists are working hard to develop nuclear fusion reactor Nuclei of heavy hydrogen, _(1)^(2)H , known as deuteron and denoted by D , can be thought of as a candidate for fusion rector . The D-D reaction is _(1)^(2) H + _(1)^(2) H rarr _(2)^(1) He + n+ energy. In the core of fusion reactor, a gas of heavy hydrogen of _(1)^(2) H is fully ionized into deuteron nuclei and electrons. This collection of _1^2H nuclei and electrons is known as plasma . The nuclei move randomly in the reactor core and occasionally come close enough for nuclear fusion to take place. Usually , the temperature in the reactor core are too high and no material will can be used to confine the to plasma for a time t_(0) before the particles fly away from the core. If n is the density (number volume ) of deuterons , the product nt_(0) is called Lawson number. In one of the criteria , a reactor is termed successful if Lawson number is greater then 5 xx 10^(14) s//cm^(2) it may be helpfull to use the following boltzmann constant lambda = 8.6 xx 10^(-5)eV//k, (e^(2))/(4 pi s_(0)) = 1.44 xx 10^(-9) eVm Assume that two deuteron nuclei in the core of fusion reactor at temperature energy T are moving toward each other, each with kinectic energy 1.5 kT , when the seperation between them is large enough to neglect coulomb potential energy . Also neglate any interaction from other particle in the core . The minimum temperature T required for them to reach a separation of 4 xx 10^(-15) m is in the range

Water is flowing at the speed of 2.52 km/h through a cylindrical pipe into a cylindrical tank with base radius 40 cm. If the increase in the level of water in the tank in half an hour is 3.15 m, find the internal diameter of the pipe.

a hemispherical tank full of water is emptied by a pipe at the rate of 3(4)/(7) litres per second. How much time will it take to empty half the tank. If the diameter of the base of the tank is 3m? (Take pi=(22)/(7))

KUMAR PRAKASHAN-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -Test Your Skills
  1. 10 years ago, the age of a father was four times the age of his son th...

    Text Solution

    |

  2. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  3. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  4. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  5. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  6. Solve the following pairs of linear equations by cross-multiplication ...

    Text Solution

    |

  7. For which value of p does the pair of equations given below has a uniq...

    Text Solution

    |

  8. For what value of k, the pair of linear equations kx+2y=k-2 and 8x+ky=...

    Text Solution

    |

  9. For what values of p and q, will the following pair of linear equation...

    Text Solution

    |

  10. Check whether the following pair of linear equations has a unique solu...

    Text Solution

    |

  11. The denominator of a fraction is 4 more than twice the numerator. When...

    Text Solution

    |

  12. The area of a rectangle gets reduced by 80 square units if its length ...

    Text Solution

    |

  13. Places A and B are 100 km apart from each other on a highway. A car st...

    Text Solution

    |

  14. Solve the following pairs of equations: 4x+(8)/(y)=15, 6x-(8)/(y)=1...

    Text Solution

    |

  15. Solve the following pairs of equations: (1)/(2x)-(1)/(y)=-1, (1)/(...

    Text Solution

    |

  16. Solve the following pairs of equations: (2xy)/(x+y)=(3)/(2), (xy)/...

    Text Solution

    |

  17. It can take 12 hours to fill a swimming pool using two pipes. If the p...

    Text Solution

    |

  18. Ankita travels 14 km to her home partly by rickshaw and partly by bus....

    Text Solution

    |

  19. A motor boat can travel 30 km upstream and 28 km downstream in 7 hours...

    Text Solution

    |

  20. Out of a distance of 360 km, if 240 km is covered by bus and rest by t...

    Text Solution

    |