PSLEEric pushes two rods, Y and Z, straight into the ground until the length of each rod that is above the ground is the same.
18 of Y and
111 of Z are in the ground. The length of Y in the ground is 24 cm longer than the length of Z in the ground. What is the total length of rods Y and Z?
Fraction of Rod Y above ground
= 1 -
18 =
78 Fraction of Rod Z above ground
= 1 -
111 =
1011 Heights of Rods Y and Z above ground are the same.
78 Y =
1011 Z
7080 Y =
7077 Z
Length of Rod Y more than length of Rod Z
= 80 u - 77 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total length of Rods Y and Z
= 80 u + 77 u
= 157 u
= 157 x 8
= 1256 cm
Answer(s): 1256 cm