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