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Races - 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: July 12, 2002
The question for the day is the from the topic - Races.
In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?
(1) 150 seconds   (2) 165 seconds   (3) 135 seconds   (4) 66.67 seconds
Correct Answer - (3)


Solution:

In a 1000 metre race A gives B a start of 100 m or 15 seconds.

This essentially means that B takes 15 seconds to run 100 m.

Therefore, B will take 150 seconds to run the stretch of 1000 metres. (1000 m = 10 times 100 m and therefore the time taken will also be 10 times 15 seconds = 150 seconds).

As A takes 15 seconds less than B, he will take 135 seconds to run the 1000 m.

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