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PhysicsQ&A LibraryA river has a steady speed of 0.500 m/s. A student swimsupstream a distance of 1.00 km and swims back to the startingpoint. (a) If the student can swim at a speed of 1.20 m/s instill water, how long does the trip take? (b) How much time isrequired in still water for the same length swim? (c) Intuitively,why does the swim take longer when there is a current?Question

Asked Dec 17, 2019

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A river has a steady speed of 0.500 m/s. A student swims

upstream a distance of 1.00 km and swims back to the starting

point. (a) If the student can swim at a speed of 1.20 m/s in

still water, how long does the trip take? (b) How much time is

required in still water for the same length swim? (c) Intuitively,

why does the swim take longer when there is a current?

Step 1

Let v_{s} be the students speed in still water, v_{w} be the speed of water, s be the distance travelled, t_{1} be the time taken for the trip if the water has current, and t_{2} be the time taken for the trip if the water is still.

Write the expression for the time taken in the first case when the water is having a current.

Step 2

Write the expression for the time taken in th...

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