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

Entered answer:

✅ Correct Answer: 444

Let walking speed $= w$ and running speed $= 1.4w$ (since running is 40% faster).

Let distance from A to B $= d_1$ and distance from B to C $= d_2$ .

Time to walk from B to C $= 3$ hours $30$ minutes $= 3.5$ hours:

$\dfrac{d_2}{w} = 3.5$

$d_2 = 3.5w$

Time to run from B to A $= 3$ hours $30$ minutes $= 3.5$ hours:

$\dfrac{d_1}{1.4w} = 3.5$

$d_1 = 3.5 \times 1.4w$

$d_1 = 4.9w$

Total time to walk from A to B and run from B to C:

$= \dfrac{d_1}{w} + \dfrac{d_2}{1.4w}$

$= \dfrac{4.9w}{w} + \dfrac{3.5w}{1.4w}$

$= 4.9 + 2.5$

$= 7.4$ hours

Converting to minutes:

$7.4 \times 60 = 444$ minutes

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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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