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