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Work, Time - 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: March 13, 2003

The question for the day is from the topic Work and Time
A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How long will the son take to do the same job, if he worked alone on the job?

(1) 20 hours (2) 120 hours
(3) 24 hours (4) None of these
Correct Answer - (2)

Solution:

If the man takes 60 hours to complete the work, then he will finish th of the work in 1 hour.

Let us assume that his son takes x hours to finish the same work.
If they work together for 1 hour they will finish th of the work.
Therefore,

The son, working alone would take 120 hours to complete the work.







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