Maximizing Speed to Minimize Time | CAT | Bank PO

Описание: In this video, we tackle an interesting quantitative aptitude problem that combines Speed, Time, and Distance concepts with Number Theory optimization. Can you find the values of A and B that result in the minimum travel time?

📝 The Question:
"If a cyclist travels at a speed of (A^2)/B m/sec, find the minimum time (in minutes) required to cover a distance of 3.63 km, given that A and B are natural numbers less than 12, and B ≠ 1."

🔍 What We Cover:

Understanding the relationship between Time and Speed (Time = Distance/Speed).

How to minimize time by maximizing the speed fraction.

Selecting the optimal natural numbers for variables A and B.

Unit conversion tricks (km to meters, seconds to minutes).

💡 Solution Breakdown:

To get Minimum Time, we need Maximum Speed.

Maximize A (numerator) and minimize B (denominator) within the range ( less than 12).

Calculate final time.

#Maths #QuantitativeAptitude #SpeedTimeDistance #ExamPrep #SSC #CAT #GMAT #ProblemSolving #Optimization


We need to find the MINIMUM time for a cyclist to travel 3.63 km. The speed is given as (A^2)/B, where A and B are natural numbers less than 12 (and B ≠ 1).

👇 The Trick:
To minimize time, you have to be as fast as possible! Which numbers for A and B give the highest speed?

Watch the full solution to see if you got it right! (Hint: The answer is cleaner than you think 😉).


Problem Statement:
If a cyclist travels at a speed of (A^2)/B m/sec, find the minimum time (in minutes) required to cover a distance of 3.63 km, given that A and B are natural numbers less than 12, and B ≠ 1.

Options:
a) 1.89 minutes
b) 2.13 minutes
c) 2.28 minutes
d) 1 Minute


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