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Time and Distance - Quant/Math - CAT 2010

  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: May 19, 2003

The question for the day is from the topic of Time and Distance.
A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

(1) 20 kms (2) 25 kms
(3) 45 kms (4) 40 kms
Correct Answer - (2)

Solution:


Let 'd' be the distance between the stations X and Y.

Time taken by the passenger train to cover the distance 'd' = d/60 hour

Time taken by the goods train to cover the distance 'd' = d/20 hour

Time difference between these two trains is given by 50 minutes or 50/60 hour

i.e., d/20 –d/60 = 50/60



d = 25kms.




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