PSLETommy pushes two rods, X and Y, straight into the ground until the length of each rod that is above the ground is the same.
15 of X and
18 of Y are in the ground. The length of X in the ground is 15 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 -
15 =
45 Fraction of Rod Y above ground
= 1 -
18 =
78 Heights of Rods X and Y above ground are the same.
45 X =
78 Y
2835 X =
2832 Y
Length of Rod X more than length of Rod Y
= 35 u - 32 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total length of Rods X and Y
= 35 u + 32 u
= 67 u
= 67 x 5
= 335 cm
Answer(s): 335 cm