PSLECharlie pushes two poles, Y and Z, straight into the ground until the length of each pole that is above the ground is the same.
16 of Y and
18 of Z are in the ground. The length of Y in the ground is 12 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 -
16 =
56 Fraction of Pole Z above ground
= 1 -
18 =
78 Heights of Poles Y and Z above ground are the same.
56 Y =
78 Z
3542 Y =
3540 Z
Length of Pole Y more than length of Pole Z
= 42 u - 40 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Total length of Poles Y and Z
= 42 u + 40 u
= 82 u
= 82 x 6
= 492 cm
Answer(s): 492 cm