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