A swimmer's speed in the direction of flow of a river is 12kmh^(-1). Against the direction of flow of the river the swimmer's speed is 6kmh^(-1). Calculate the swimmer's speed in still water and the velocity of the river flow.

A swimmer's speed in the direction of flow of a river is 12kmh^(-1). A

1.	A swimmer's speed in the direction of flow of a river is 12kmh^(-1). Against the direction of flow of the river the swimmer's speed is 6kmh^(-1). Calculate the swimmer's speed in still water and the velocity of the river flow.
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :Let `v_(s)andv_(r)` represent the <a href="https://interviewquestions.tuteehub.com/tag/velocities-1444510" style="font-weight:bold;" target="_blank" title="Click to know more about VELOCITIES">VELOCITIES</a> of the swimmer and river respectively with respect to ground. <br/> `v_(s)+v_(r)=12""…..(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)` <br/> and `v_(s)-v_(r)=6""…..(2)` <br/> Adding the both <a href="https://interviewquestions.tuteehub.com/tag/equations-452536" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATIONS">EQUATIONS</a>(1) and (2) `2v_(s)=12+6=18kmh^(-1)orv_(s)=9kmh^(-1)`. From <a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a> (1), <br/> `9+v_(r)=12orv_(r)=3kmh^(-1)` <br/> When the river flow and swimmer move in the same direction, the net velocity of swimmer is 12 kmph.</body></html>