CAT 2025 Slot 1 QA Question 21: Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these f

Question

Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these f

Accepted Answer

Convert all quantities into metres and minutes.
$	ext{Total distance} = 224000	ext{ m}$
$	ext{Total time} = 3	ext{ hours} = 180	ext{ min}$
$	ext{First distance} = 960 	imes 30 = 28800	ext{ m}$

Let the four times be in AP with first term 30 and common difference $d$.
$\dfrac{4}{2}(2 	imes 3