# CAT 2019 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 14

Time and Distance has been a regular occurrence in all CAT previous year paper. While the importance given to this topic in CAT syllabus has come down, you can definitely expect at least 1 question from this topic. The best advantage of preparing for Time & Distance is that with a good CAT Preparation, you can be sure of getting the answer right in a short time in the exam. Hence ensure you do more such questions from the 2IIM question bank & other CAT previous years  papers to stay on top of this topic.

Question 14 : 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. 20
2. 10
3. 35
4. 25

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The minimum time travelled by Car 1 = 6 hours.
Minimum time travelled by Car 2 = 5 hours
Now, the time taken can be of any value -> (6,5) (7,6) ...... (1000,999)
However, since we want to calculate the highest possible percentage by which speed of car 2 could exceed car 1, we consider the lowest time taken - 6 hours and 5 hours, respectively.
Let the distance between the start and finish be 30 Kms (LCM of 6 and 5)
So, Car 1 travels at 5 Kmph and Car 2 travels at 6 Kmph
Percentage increase in speed by Car 2 = x 100 = x 100 = 20%

The question is "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 "

##### Hence, the answer is 20

Choice A is the correct answer.

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