A swimmer can swim in still water with speed v and the river is flowing with velocity v/2. To cross the river in shortest distance, he should swim making angle q with the upstream. What is the ratio of the time taken to swim across the shortest time to that is swimming across over shortest distance?
Text Solution
Verified by ExpertsB
Let the width of the river is W .
The swimmer will cross the river by covering the shortest distance if the velocity of swimmer with respect to the water is perpendicular to the upstream.
The relative velocity of the swimmer with respect to water is 
Time taken to cross the river in the shortest distance, 
Shortest time taken to cross the river is
Ratio of times taken for shortest time to that of shortest path
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems