CAT 2020 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Quants Questions | Question 19

This question is from Speed distance time. Speed time distance is one of the most heavily tested topics in the CAT exam. One can usually expect 3-4 questions from these ideas in the CAT exam. As a topic, it is very interesting as it can be relatable to real-life scenarios. If you are in a hurry then have a go at this question from CAT previous years' question paper before you leave. Maybe It could help you with how late you are going to be!

Question 19 : Leaving home at the same time, Amal reaches office at 10:15 am if he travels at 8kmph, and at 9:40 am if he travels at 15kmph. Leaving home at 9:10 am, at what speed, in kmph, must he travel so as to reach office exactly at 10:00 am?

  1. 12
  2. 11
  3. 13
  4. 14

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Explanatory Answer

Speed are 8 km/hr and 15 km/hr
So it takes 15t times and 8t times
Difference of times = 15t – 8t = 7t
7t = 35 minutes (10:15 min – 9:40 min)
t = 5 minutes
He takes 75 minutes by travelling at 8 km/hr and 40 minutes if travelled at 15 km/hr
He starts at 9 am.
So, 9:10 to 10:00 = 50 minutes
15 km/hr = 40 min
And at what speed he should travel, so as to reach there within 50 minutes
\\frac{15 × 40}{50}) = 12 km/hr


The answer is, "12"

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