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Bob swam 4 kilometers against the current in the same amount of time it took him to swim 12 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Bob swim if there were no current?

Respuesta :

Answer:

Speed of the bob when there is no current is 4 km/hr

Explanation:

Let the Bob swam v km/hr without the current '

Speed of current is 2 km/hr

So speed in the direct of current = v+2 km/hr

And speed against the direction of current = v-2 km/hr

It is given that Bob swam 4 km against the current in the same time as swam 12 km in direct of current , means time is same

We know that time [tex]=\frac{distance}{speed}[/tex]

So [tex]\frac{4}{v-2}=\frac{12}{v+2}[/tex]

[tex]4v+8=12v-24[/tex]

8 v = 32

v = 4 km/hr

So speed of the bob when there is no current is 4 km/hr

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