Solve problems with mathematical equations

1. Assuming that the speed of the ship in still water is X and the current speed is Y, the equation is obtained:

80/(x+y)= 1.6

80/(x-y)=2

Simplify them separately:

x+y=50

x-y=40

If the sum of the two formulas is 2x=90 and x=45, then y=5.

Then the speed of the ship in still water is 45 kilometers per hour, and the current speed is 5 kilometers per hour.

2. Let the horizontal road be x kilometers and the sloping road be y kilometers, and get the equations:

(x/60)+(y/30)=6.5

(y/40)+(x/50)=6

Simplify them separately:

x+2y=390①

5y+4x= 1200②

Use ①*4-② to get:

3y=360

y= 120

Then x=390-2* 120= 150.

Zeping Road 150km, Slope Road 120km, and the distance from the school to the scenic spot is 270km.