PSLEIan pushes two rods, H and J, straight into the ground until the length of each rod that is above the ground is the same.
13 of H and
17 of J are in the ground. The length of H in the ground is 6 cm longer than the length of J in the ground. What is the total length of rods H and J?
Fraction of Rod H above ground
= 1 -
13 =
23 Fraction of Rod J above ground
= 1 -
17 =
67 Heights of Rods H and J above ground are the same.
23 H =
67 J
69 H =
67 J
Length of Rod H more than length of Rod J
= 9 u - 7 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Total length of Rods H and J
= 9 u + 7 u
= 16 u
= 16 x 3
= 48 cm
Answer(s): 48 cm