Home
Class 8
MATHS
A,B andC can complete a piece of work in...

A,B andC can complete a piece of work in 6,12 and 18 days respectively. A and B started the work and C joined them after one day. B left just 2 days before the completion of the whole work.In how many days was the work completed?

A

5

B

4

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Let A work for x days, B work for (x-2) days and C work for (x-1) days.
(ii) A worked for x days, B worked for (x-2) days and C worked for (x-1) days to complete the work.
(iii) Frame the equation and solve for x.
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-3)|7 Videos

  • TIME AND WORK PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-1)|33 Videos

  • TIME AND DISTANCE

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 2 )|3 Videos

  • TIME AND WORK, PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-3)|7 Videos

Similar Questions

Explore conceptually related problems

A, B and C can complete a piece of work in 27 days, 36 days, adn 45 days, respectively. B and C started the work. After 11 days. A joined them. If B left 12 days before its completion, in how many days will the work be completed?

A, B and C can complete a piec of work in 25, 30 and 50 days. Respectively. They started the work together But A and C left 2 days before the completion of the work. In how many days will the work in completed ?

A,B and C can complete a work in 10,12 and 15 days respectively.They started the work together.But A left the work 5 days before its completion.B also left the work 2 days after A left.In how many days was the work completed? 4 b.15 c.7 d.8

A, B and C can complete a piece of work in 15, 30 and 40 days respectively. They started the work together and A left 2 days before the completion of the work and B left 4 days before the completion of the work. In how many days was the work completed?

A, B and C can complete a work in 16, 24 and 32 days, respectively. They started together but C left after 4 days of starting and A left 6 days before completion of the work. In how many days will the work be completed ?

A,B and C can do a work in 20,45 and 120 days respectively.They started the work. A left 10 days before and B left 5 days before the completion of work. In how many days is the total work completed ?

PEARSON IIT JEE FOUNDATION-TIME AND WORK PIPES AND CISTERNS-CONCEPT APPLICATION (LEVEL-2)
  1. Rishikesh and Mukesh can individually complete a piece of work in 18 ...

    Text Solution

    |

  2. A can work twice as fast as B.A. and C together can work three times a...

    Text Solution

    |

  3. P and Q can individually complete a piece of work in 15 and 25 days re...

    Text Solution

    |

  4. Two taps A and B can fill a tank in 12 minutes and 20 minutes respecti...

    Text Solution

    |

  5. Wages for 30 women amounts to ₹ 60,000 in 36 days. If a man earns dou...

    Text Solution

    |

  6. 6 men and 9 women can do a piece of work in 4 days.4 men and 3 women c...

    Text Solution

    |

  7. A,B andC can complete a piece of work in 6,12 and 18 days respectively...

    Text Solution

    |

  8. A and B can complete a piece of work in 10 and 15 days respectively. B...

    Text Solution

    |

  9. P worked on a job for 4 hours and then Q joined him. After 8 more hour...

    Text Solution

    |

  10. P,Q and R work together to complete a piece of work in x days. P and R...

    Text Solution

    |

  11. P,Q and R can do a piece of work in 18 days, 36 days and 54 day respec...

    Text Solution

    |

  12. Pipes A, B and C can fill an empty tank in 12 minutes, 24 minutes and ...

    Text Solution

    |

  13. X,Y and Z can complete a job in 24 days, 32 days and 48 days respectiv...

    Text Solution

    |

  14. P and Q can complete a job in 6 days and 7 days respectively. They wor...

    Text Solution

    |

  15. M and N can complete a job in 120 days and 180 days respectively. M st...

    Text Solution

    |

  16. B can do a job twice as fast as A and half as fast as C.A.B. and C tog...

    Text Solution

    |

  17. Ten boys or twenty girls can complete a job in 10 days. In how many da...

    Text Solution

    |

  18. Murali and Sai can complete a job in 20 days and 30 days respectively...

    Text Solution

    |

  19. Y can complete a job half as fast as X and twice as fast as Z,X,Y and ...

    Text Solution

    |

  20. Five men or ten women can complete a job in 20 days. In how many days ...

    Text Solution

    |