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Time and Work - Quant/Math - CAT 2009

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Interest
  10. Mensuration
  11. Mixtures & Alligations
  12. Number System
  13. Percentages
  14. Permutation & Combination
  15. Pipes & Cisterns And Work & Time
  16. Probability
  17. Profit & Loss
  18. Races
  19. Ratio, Proportion
  20. Speed, Time & Distance
  21. Trigonometry
  22. Miscellaneous
  23. General Knowledge
Question 4 the day: October 23, 2003

The question for the day is from the topic of Time and Work.
A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?

(1) 5 (2) 7
(3) 8 (4) 6
Correct Answer - (2)

Solution:


In 9 days B completes 9/24 i.e., 3/8th of the work.

Hence 1 - 3/8 = 5/8th of the work is completed by A and B together.

i.e., x (1/21 + 1/24) = 5/8 => x = 7 days.




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