Home
Class 10
MATHS
The time taken to clean out a garden by ...

The time taken to clean out a garden by Priyo is `t_(1)` hours more then that by Prosanta. Both of them together can complete the work in `t_(2)` hours.Find the required quadratic equation.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+(t_(1)-2t_(2))x-t_(1)t_(2)=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.2|26 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|43 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

The time taken to clean out a garden by Majid is 3 hours more than that by Mahim. Both of them together can complete the work in 2 hours.Hence find the required quadratic equation.

If the velocity of the stream is 2 km/hr, then the time taken by Ratanmajhi to cover 21 km in downstream and upstream is 10 hours.Hence find the required quadratic equation.

My friend Rina can do garden work alone in 4 hours. I can do that work alone in 3 hours. But if we together do that work, let’s calculate how much time will be needed.

A and B are two separate reservoirs of water. Capacity of reservoir A is double the capacity of reservoir Bdot Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at the time. One hour after the water is released, the quantity of water is reservoir A is 1 1/2 times the quantity of water in reservoir Bdot After how many hours do both the reservoirs have the same quantity of water?

Write down the Arrhenius equation relating the rate constant of a reaction with temp. If K_1 and K_2 be the rate constants of reaction at temperature t_1^@C and t_2^@C respectively, Find out the relation between K_1 , K_2 , t_1 and t_2 . Give that the activation energy (E_a) of the reaction remains unchnaged within the temp. range mentioned. The rate constants of a reaction at 400K and 500K are 0.02 S^-1 and 0.085 S^-1 respectively. Determine the activation energy (E_a) of the reaction.

A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman's time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftman's time.In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftman's time. (i) What number of rackets and bats must be made if the factory is to work at full capacity? (ii) If the profit on a racket and on a bat is Rs. 20 and Rs. 10 respectivelh, find the maximum profit of the factory when it works at full capacity.

Show that in a first order reaction, time required for completion of 99.9% is 10 times of half-life (t_1/2) of the reaction

The relation between the time taken and the displacement of a moving body is s = 2t - 3t^(2) + 4t^(3) , where the unit of s is in metre and that of t is in second. Find out the displacement, velocity and acceleration of the body 2s after initiation of the journey.

In how many ways can 2t+1 identical balls be placed in three distinct boxes so that any two boxes together will contain more balls than the third?

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.1
  1. Explain the term 2x^(2)+4x-5=(x-3)(x+4)+2 in the form of ax^(2)+bx+c=0...

    Text Solution

    |

  2. Explain the equation (x-1)^(3)=x^(2)(x+2) in the quadratic form of ax^...

    Text Solution

    |

  3. Form a quadratic equation in one variable from the following statement...

    Text Solution

    |

  4. Explain the term x-(1)/(2x)+2=8(xne0) in the standard form of ax^(2)+b...

    Text Solution

    |

  5. Which of the following polynomials are quadratic polynomials ?

    Text Solution

    |

  6. Express the following eqautions in the form of ax^(2)+bx+c=0, where a,...

    Text Solution

    |

  7. Determine for which power of the variable x, the equation x-6sqrtx+2=0...

    Text Solution

    |

  8. Find for what value of a the equation (a-1)x^(2)+x(x+2)+8=0 is not a q...

    Text Solution

    |

  9. Express the term (x)/(k-x)=(1)/(4x)(xne0,xnek) in the quadratic equati...

    Text Solution

    |

  10. Find the coefficient of x^(3),x^(2),xandx^(0) of the equation (x-1)^(5...

    Text Solution

    |

  11. a is divided into two such parts that one part is equal to the square ...

    Text Solution

    |

  12. The product of two consecutive positive odd numbers is 323.

    Text Solution

    |

  13. The length of the diagonal of a rectangle is 13m and the length of it ...

    Text Solution

    |

  14. The distance between two station is d km. A train went the second stat...

    Text Solution

    |

  15. A person bought some kg of suger for Rs p. If he would get 8 kg sugar ...

    Text Solution

    |

  16. A clock-seller sold a clock in RS (alpha+beta) by purchasing it. Then ...

    Text Solution

    |

  17. If the speed of the stream is a km/hr, then the time taken by Prosanta...

    Text Solution

    |

  18. There is a road of equal width around the outside of a rectangular pla...

    Text Solution

    |

  19. The unit digit of a two digit number exceeds its tens' digit by 7 and ...

    Text Solution

    |

  20. The time taken to clean out a garden by Priyo is t(1) hours more then ...

    Text Solution

    |