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