CAT 2023 Slot 1 QA Question 14: Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi

Question

Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi

Accepted Answer

When two travellers start simultaneously from opposite ends, after they meet, their speeds are in the inverse ratio of the square roots of the times taken to reach the opposite ends.

$\dfrac{	ext{Speed of Arvind}}{	ext{Speed of Surbhi}} = \sqrt{\dfrac{24}{6}} = 2$

So Surbhi’s speed is
$\dfrac{54