CAT 2025 Question Paper | Quant Slot 3

CAT Questions

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 16 : Ankita walks from A to C through B, and runs back through the same route at a speed that is 40% more than her walking speed. She takes exactly 3 hours 30 minutes to walk from B to C as well as to run from B to A. The total time, in minutes, she would take to walk from A to B and run from B to C, is

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Video Explanation

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Explanatory Answer

Let Ankita's walking speed be \(v\) and running speed be \(1.4v\).

For a fixed distance, time is inversely proportional to speed.

She takes 3 hours 30 minutes \(=3.5\) hours to walk from B to C.
Therefore:
\[ BC=3.5v \]

She also takes 3.5 hours to run from B to A.
Since running speed is \(1.4v\):
\[ BA=3.5(1.4v)=4.9v \]

Time to walk from A to B:
\[ 4.9\text{ hours} \]
Time to run from B to C:
\[ \frac{3.5}{1.4}=2.5\text{ hours} \]

Total time:
\[ 4.9+2.5=7.4\text{ hours} \]
Converting to minutes:
\[ 7.4\times60=444\text{ minutes} \]

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The answer is '444'

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