To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. The trip back takes 1 h. Write and solve a system of equations to find your paddling speed, x, in still water. Find the speed of the ocean current, y.

the paddling speed is 450 yards per hour.

The speed of the ocean current is 150 yards per hour.

Step-by-step explanation:

Let x represent the paddling speed.

Let y represent the speed of the ocean current.

To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. This means that the total speed at which you kayaked is (x - y) yards per hour.

Distance = speed × time.

Distance travelled while going to the party is expressed as

600 = 2(x - y)

Dividing through by 2, it becomes

300 = x - y - - - - - - - - - - -1

The trip back takes 1 h. Assuming you traveled with the ocean current. The total speed at which you returned is (x + y) yards per hour. Distance travelled while going to the party is expressed as

600 = 1(x + y)

600 = x + y - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

900 = 2x

x = 900/2

x = 450 yards per hour

Substituting x = 450 into equation 2, it becomes

600 = 450 + y

y = 600 - 450

y = 150 yards per hour