PSLEEric pushes two rods, X and Y, straight into the ground until the length of each rod that is above the ground is the same.
18 of X and
110 of Y are in the ground. The length of X in the ground is 16 cm longer than the length of Y in the ground. What is the total length of rods X and Y?
Fraction of Rod X above ground
= 1 -
18 =
78 Fraction of Rod Y above ground
= 1 -
110 =
910 Heights of Rods X and Y above ground are the same.
78 X =
910 Y
6372 X =
6370 Y
Length of Rod X more than length of Rod Y
= 72 u - 70 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Total length of Rods X and Y
= 72 u + 70 u
= 142 u
= 142 x 8
= 1136 cm
Answer(s): 1136 cm