PSLEPaul pushes two rods, X and Y, straight into the ground until the length of each rod that is above the ground is the same.
17 of X and
111 of Y are in the ground. The length of X in the ground is 14 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 -
17 =
67 Fraction of Rod Y above ground
= 1 -
111 =
1011 Heights of Rods X and Y above ground are the same.
67 X =
1011 Y
3035 X =
3033 Y
Length of Rod X more than length of Rod Y
= 35 u - 33 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Total length of Rods X and Y
= 35 u + 33 u
= 68 u
= 68 x 7
= 476 cm
Answer(s): 476 cm