CAT 2025 Time, Speed and Distance Question (Hard)

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 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

Accepted Answer

Let the walking speed of Ankita be 5x, implying that her running speed which is 40 more than her walking speed , is 1.4 times 5x 7x. Thus, the ratio of her walking and running speeds is 5 7. Therefore, the ratio of the time taken by Ankita to cover a fixed distance walking and running would by 7 5.

CAT 2025

Quantitative

Time, Speed and Distance

Hard

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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