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