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