PSLEJeremy pushes two poles, X and Y, straight into the ground until the length of each pole that is above the ground is the same.
18 of X and
112 of Y are in the ground. The length of X in the ground is 32 cm longer than the length of Y in the ground. What is the total length of poles X and Y?
Fraction of Pole X above ground
= 1 -
18 =
78 Fraction of Pole Y above ground
= 1 -
112 =
1112 Heights of Poles X and Y above ground are the same.
78 X =
1112 Y
7788 X =
7784 Y
Length of Pole X more than length of Pole Y
= 88 u - 84 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Total length of Poles X and Y
= 88 u + 84 u
= 172 u
= 172 x 8
= 1376 cm
Answer(s): 1376 cm