A river has a steady speed of 0.400 m/s. A student swims upstream a distance of1

Question

A river has a steady speed of 0.400 m/s. A student swims upstream a distance of1.00 km and swims back to the startingpoint. If the student can swim at a speed of 1.00 m/s in still water, how long does the triptake (swimming up and down in the current)?
If the water were still, by how much would the trip be longeror shorter? (Give a negative answer for a shorter trip.) A river has a steady speed of 0.400 m/s. A student swims upstream a distance of1.00 km and swims back to the startingpoint. If the student can swim at a speed of 1.00 m/s in still water, how long does the triptake (swimming up and down in the current)?
If the water were still, by how much would the trip be longeror shorter? (Give a negative answer for a shorter trip.)

Explanation / Answer

Speed of river v = 0.4 m / s Speed of student v ' = 1 m / s In down stream , relative velocity V = v + v '                                                        = 1. 4 m / s So, time taken to the 1 km = 1000 m is   t = 1000 m / 1.4 s                                                                  = 714.28 m / s In up steam , time taken t ' = 1000 m / ( v ' - v)                                          = 1666.667 s So , total time for this trip T = t + t '                                            = 2381 s In still water : ------------- Total distance S ' = 2 km = 2000 m speed V ' = 1 m / s So, time taken for the total trip T ' = S ' / V '                                                     = 2000 s

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