PSLEVincent pushes two poles, R and S, straight into the ground until the length of each pole that is above the ground is the same.
18 of R and
110 of S are in the ground. The length of R in the ground is 16 cm longer than the length of S in the ground. What is the total length of poles R and S?
Fraction of Pole R above ground
= 1 -
18 =
78 Fraction of Pole S above ground
= 1 -
110 =
910 Heights of Poles R and S above ground are the same.
78 R =
910 S
6372 R =
6370 S
Length of Pole R more than length of Pole S
= 72 u - 70 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Total length of Poles R and S
= 72 u + 70 u
= 142 u
= 142 x 8
= 1136 cm
Answer(s): 1136 cm