The discussion centers on proving the equation t1² = t2 * t3, where t1 is the time taken for a swimmer to cross a river of width d, t2 is the time taken to swim upstream and downstream the same distance, and t3 is the time taken to swim a distance of 2d in still water. The swimmer's speed in still water is denoted as u, and the speed of the river is v. Participants emphasize the importance of manipulating the equations for t1, t2, and t3 to eliminate variables u and v, leading to the proof of the stated relationship.
PREREQUISITESMathematics students, physics enthusiasts, and educators looking to deepen their understanding of motion in flowing water scenarios.
riddhish said:A swimmer crosses a flowing river of width d to and fro in time t1. The time taken to cover the same distance up and down the stream is t2. If t3 is the time the swimmer would take to swim a distance 2d in still water, then prove that t1 square = t2t3.