PSLEPierre 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
19 of Z are in the ground. The length of Y in the ground is 18 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 -
19 =
89 Heights of Poles Y and Z above ground are the same.
56 Y =
89 Z
4048 Y =
4045 Z
Length of Pole Y more than length of Pole Z
= 48 u - 45 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total length of Poles Y and Z
= 48 u + 45 u
= 93 u
= 93 x 6
= 558 cm
Answer(s): 558 cm