PSLEBrandon pushes two poles, W and X, straight into the ground until the length of each pole that is above the ground is the same.
13 of W and
16 of X are in the ground. The length of W in the ground is 9 cm longer than the length of X in the ground. What is the total length of poles W and X?
Fraction of Pole W above ground
= 1 -
13 =
23 Fraction of Pole X above ground
= 1 -
16 =
56 Heights of Poles W and X above ground are the same.
23 W =
56 X
1015 W =
1012 X
Length of Pole W more than length of Pole X
= 15 u - 12 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total length of Poles W and X
= 15 u + 12 u
= 27 u
= 27 x 3
= 81 cm
Answer(s): 81 cm