CAT 2025 Slot 3 QA Question 14: 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

Question

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

Accepted Answer

Let Ankita’s walking speed be $w$. Her running speed is $1.4w$.
She takes $3.5$ hours to walk from $B$ to $C$, so
$BC = 3.5w$
She also takes $3.5$ hours to run from $B$ to $A$, so
$BA = 3.5 	imes 1.4w = 4.9w$
The required time is time to walk $AB$ plus time to run $BC$.
$\dfrac{AB}{w} + \dfrac{BC}{

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