CAT 2022 Slot 3 QA Question 20: Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travell

Question

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travell

Accepted Answer

Let the port be $O$, the slower ship be $S$ and the faster ship be $F$.
Initially, $OS = OF = 24$ km and angle $SOF = 60\degree$.
When the slower ship travels 8 km, its distance from the port becomes 16 km.
$OS = 24 - 8 = 16$
The new triangle is right-angled. Since angle $SOF$ is still $60\degree$,