CAT 2024 Question Paper | Quant Slot 2

CAT Questions

CAT 2024 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 17 A bus starts at 9 am and follows a fixed route every day. One day, it traveled at a constant speed of 60 km per hour and reached its destination 3.5 hours later than its scheduled arrival time. Next day, it traveled two-thirds of its route in one-third of its total scheduled travel time, and the remaining part of the route at 40 km per hour to reach just on time. The scheduled arrival time of the bus is

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Video Explanation

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Explanatory Answer

Let the total distance be 3d and total scheduled time $=3 t$. Therefore, Speed $=3 d / 3 t = d / t$.

$d / 2 t =40 km / hr$.
Therefore $d / t =80 km / hr$.
Total distance $=80 * 3 t =60(3 t +3.5)$
$12 t =9 t +10.5$. Therefore, total time $=3 t =10.5$ hours.
The scheduled arrive time = 9AM+ 10.5 hours= 7.30 PM.

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The question is "A bus starts at 9 am and follows a fixed route every day. One day, it traveled at a constant speed of 60 km per hour and reached its destination 3.5 hours later than its scheduled arrival time. Next day, it traveled two-thirds of its route in one-third of its total scheduled travel time, and the remaining part of the route at 40 km per hour to reach just on time. The scheduled arrival time of the bus is"

Hence, the answer is '7 : 30 pm'

Choice C is the correct answer.

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