Krkonose CZ

Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter, and 1/3 of the length of the rod remained above the snow. The length of the part above the snow is 32 cm greater than in the ground. Find the height of the snow.

Correct answer:

s =  112 cm

Step-by-step explanation:


a = 4/5 x
b = 1/5 x
1/3 x = a-s
a-s = 32 + b

a = 4/5·x
b = 1/5·x
1/3·x = a-s
a-s = 32 + b

5a-4x = 0
5b-x = 0
3a-3s-x = 0
a-b-s = 32

Row 3 - 3/5 · Row 1 → Row 3
5a-4x = 0
5b-x = 0
-3s+1.4x = 0
a-b-s = 32

Row 4 - 1/5 · Row 1 → Row 4
5a-4x = 0
5b-x = 0
-3s+1.4x = 0
-b-s+0.8x = 32

Row 4 - -1/5 · Row 2 → Row 4
5a-4x = 0
5b-x = 0
-3s+1.4x = 0
-s+0.6x = 32

Row 4 - -1/-3 · Row 3 → Row 4
5a-4x = 0
5b-x = 0
-3s+1.4x = 0
0.1333x = 32


x = 32/0.13333333 = 240
s = 0-1.4x/-3 = 0-1.4 · 240/-3 = 112
b = 0+x/5 = 0+240/5 = 48
a = 0+4x/5 = 0+4 · 240/5 = 192

a = 192
b = 48
s = 112
x = 240

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Do you want to convert length units?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: