PSLEValen 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
112 of Z are in the ground. The length of Y in the ground is 32 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 -
112 =
1112 Heights of Poles Y and Z above ground are the same.
78 Y =
1112 Z
7788 Y =
7784 Z
Length of Pole Y more than length of Pole Z
= 88 u - 84 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total length of Poles Y and Z
= 88 u + 84 u
= 172 u
= 172 x 8
= 1376 cm
Answer(s): 1376 cm