Traveling with the current a certain boat went 22 km/h. Against the same current it only went 6 km/h. Find the speed of the boat in still water and the speed of the current.

Speed of boat in still water is  14 km/hr and speed of current is 8 km/hr

Step-by-step explanation:

Average speed of down stream = 22 km/h

Average speed of up stream = 6 km/hr

Consider the speed of boat in still water be  x km/hr and speed of current be  y  km/hr

As such speed of down stream would be  x + y km/hr and speed of down stream would be  x - y km/hr. i.e

x+y = 22

x-y = 6

by solving these two equation, we get

2x=28

x=14 km/hr

y=16-13

y=8 km/hr

Hence, the speed of boat in still water is  14 km/hr and speed of current is 8 km/hr

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.