👤

A motor bangka travels at a constant speed of 3miles per hour in still water. In iloilo river with unknown current, it takes the boat twice as long to travel 60 miles up stream (against the current) than it takes for the 60 mile return trip (with the current) what is the speed of the current in the river. ​

Sagot :

Answer:

Let [tex]x[/tex] be the speed of the river current, [tex]t_{1}[/tex] be the speed upstream and [tex]t_{2}[/tex] be the speed downstream.

[tex]t_{1} =2t_{2}[/tex]

[tex]\frac{60}{x-3} =2(\frac{60}{x+3} )[/tex]

[tex]x+3=2(x-3)[/tex]

[tex]2x-x=3+6[/tex]

[tex]x=9[/tex]

Therefore the speed of the river current is 9mph.