Quantitative Aptitude – Arithmetic – TSD


Slot – 1 – Quantitative Aptitude – Arithmetic – TSD – Two cars travel the same distance starting at 10:00 am

Q. Two cars travel the same distance starting at 10:00 am and 11:00 am, respectively, on the same day. They reach their common destination at the same point of time. If the first car travelled for at least 6 hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is?
  1. 25
  2. 30
  3. 10
  4. 20
Answer: 20

Solution: For the highest possible value of the percentage by which the speed of the second car could exceed that of the first car the time taken by both cars should be minimum as their difference is constant (or we can say the ratio of time taken by the first car to that of 2nd car should be maximum ) which is possible only when time is taken by 1st car = 6 hr and that of 2nd car = 6-1 = 5 hr
As we know v1/v2 = t2/t1
Required percentage = (6-5)/5 *100 = 20%

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