MAT Exam 2023 Paper

Concept:If boat speed in still water is $b$ and current speed is $c$, then downstream speed is $b+c$ and upstream speed is $b-c$.Explanation:Let $b$ be the speed of the boat in still water and $c$ be the speed of the current.Downstream speed $= b+c$.Upstream speed $= b-c$.According to the question, $3(b+c)=2(b-c)$.Expanding: $3b+3c=2b-2c$.This gives $b=-5c$.Since speeds cannot be negative, this condition is impossible with positive boat and current speeds.Therefore, no valid positive ratio can be determined from the given statement.Answer:None of the given options is valid because the condition as stated is inconsistent.