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Q. A swimmer wishes to cross a $500-m$ river flowing at $5\, km\, h ^{-1}$. His speed with respect to water is $3 \,km\, h ^{-1}$. The shortest possible time to cross the river is

Motion in a Plane

Solution:

Shortest time $=\frac{d}{v}=\frac{1 / 2}{3}=\frac{1}{6} h =10 \,\min$