Home
Class 14
MATHS
Two workers A and B are engaged to do a ...

Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take `4(1)/(2)` hours more than when work together. The time required to finish the work together is

A

5 hours

B

4 hours

C

8 hours

D

6 hours

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TYPE-V|19 Videos
  • TIME AND DISTANCE

    KIRAN PUBLICATION|Exercise Type -XI|74 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

Two workers A and B are engaged to do a piece of work. Working alone, A takes 8 hours more to complete the work than if both worked together. On the other hand, working alone, B would need 4(1)/(2) hours more to complete the work than if both worked together. How much time would they take to complete the job working together?

Two workers A and B are engaged to do a piece of work.Working alone, A takes 8 hours more to complete the workthan if both worked together. On the other hand, workingalone, B would need 4 1/2 hours more to complete the work than if both worked together. How much time would they take tocomplete the job working together?

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

A can do a piece of work in 2 hours, B can do thrice the work in 8 hours and C can do the same work as A in 8 hours. If all of them work together, how long it would take them to complete the work :

A takes 4 hours more than that of A and B working together to finish certain piece of work. While B takes 9 hours more than that of A and B working together. Then find in how many hours A and B working together can finish the work?

When A alone does a piece of work , he takes 16 days more than the time taken by (A+B) to complete the work, while B alone takes 9 days more than the time taken by (A + B) to finish the work. What time,AandBtogether will take to finish this work?

A and B working together can do a piece of work in 12 days and A alone can caomplete the work in 18 days. How long will B alone take to complete the job?

Sunny and Paula can complete a piece of work together in 12 hours. While Paula takes 18 hours to complete the work 2 alone, another individual, Jane, takes 45 hours to complete the same piece of work alone. How many hours would it take Sunny and Jane to complete the same work together ?

KIRAN PUBLICATION-TIME AND WORK-TYPE-VI
  1. A does half as much work as B in three fourth of the times. If togethe...

    Text Solution

    |

  2. A can do one and a half as much of a work which B can do in one day. B...

    Text Solution

    |

  3. Two workers A and B are engaged to do a piece of work. A working alone...

    Text Solution

    |

  4. A company employed 200 workers to complete a certain work in 150 days....

    Text Solution

    |

  5. A, B and Care employed to do a plece of work for Rs. 5,290. A and B to...

    Text Solution

    |

  6. 4 men and 6 women complete a work in 8 days. 2 men and 9 women also co...

    Text Solution

    |

  7. A can do in one day three times the work done by B in one day. They to...

    Text Solution

    |

  8. Janardan completes (2)/(3) of his work in 10 days. Time he will take t...

    Text Solution

    |

  9. John does (1)/(2) piece of work in 3 hours, Joe does (1)/(4) of the re...

    Text Solution

    |

  10. A and B work together to complete the rest of a job in 7 days. However...

    Text Solution

    |

  11. Dhiru can dig (1)/(a) of a field in 20 hours. What fraction of the sam...

    Text Solution

    |

  12. A can do a certain job in 12 days. B is 60% more efficient than A. The...

    Text Solution

    |

  13. A, B and C contract a work for Rs. 440. A and B together are to do (9)...

    Text Solution

    |

  14. A painter can paint a fence in 24 hours. After 6 hours he takes a brea...

    Text Solution

    |

  15. Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75...

    Text Solution

    |

  16. B would have taken 10 hours more than what A would have taken to compl...

    Text Solution

    |

  17. A can do 50% of the job in 16 days, B can do (1)/(4)th of the job in 2...

    Text Solution

    |

  18. A can do a work in 21 days and B in 42 days. If they work on it toget...

    Text Solution

    |

  19. A, B and C can together do a job in 9 days. C alone can do the job in ...

    Text Solution

    |

  20. A can do a work in 72 days and B in 90 days. If they work on it togeth...

    Text Solution

    |