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