PSLEBen pushes two poles, Y and Z, straight into the ground until the length of each pole that is above the ground is the same.
14 of Y and
16 of Z are in the ground. The length of Y in the ground is 8 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 -
14 =
34 Fraction of Pole Z above ground
= 1 -
16 =
56 Heights of Poles Y and Z above ground are the same.
34 Y =
56 Z
1520 Y =
1518 Z
Length of Pole Y more than length of Pole Z
= 20 u - 18 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total length of Poles Y and Z
= 20 u + 18 u
= 38 u
= 38 x 4
= 152 cm
Answer(s): 152 cm