CAT Practice : Speed Time, Races

Increasing Speed

    Q.22: Akash when going slower by by 15 Km/hr, reaches late by 45 hours. If he goes faster by 10 Km/hr from his original speed, he reaches early by by 20 hours than the original time. Find the distance he covers.
    1. 8750 Km
    2. 9750 Km
    3. 1000 Km
    4. 3750 Km

 

  • Correct Answer
    Choice B. 9750 Km

Detailed Solution

You may solve for D and S by writing the equations as:




You can solve these two equations to get D = 9750 Km which is a perfectly fine approach. However, if you are comfortable with alligation, you may save time on such TSD question as:


Both these equations can be solved quickly to get s = 65 Km/hr, t = 150 hr. Therefore, D = 9750 Km. I want to reiterate that using the first approach is perfectly fine. That's how I would do it. It is better to spend 20 seconds extra and get the right answer instead of getting it wrong with something you are not comfortable with.


Correct Answer: 9750 Km



Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.


Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play

More questions from Speed Time, Races

  1. Speed Time - Races
  2. Speed Time - Geometry
  3. Speed Time - Cars
  4. Speed Time - Races
  5. Speed Change
  6. Speed Time - Meeting point
  7. Speed Time - Races
  8. Relative Speed
  9. Speed Time - Races
  10. Boats and Streams
  11. Relative Speed
"Life is a race ... if you don't run fast ... you will be like a broken undaa" - Veerusahasra Buddhi