PSLEBen pushes two rods, Z and A, straight into the ground until the length of each rod that is above the ground is the same.
16 of Z and
110 of A are in the ground. The length of Z in the ground is 24 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 -
16 =
56 Fraction of Rod A above ground
= 1 -
110 =
910 Heights of Rods Z and A above ground are the same.
56 Z =
910 A
4554 Z =
4550 A
Length of Rod Z more than length of Rod A
= 54 u - 50 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total length of Rods Z and A
= 54 u + 50 u
= 104 u
= 104 x 6
= 624 cm
Answer(s): 624 cm