PSLEIan pushes two rods, C and D, straight into the ground until the length of each rod that is above the ground is the same.
18 of C and
111 of D are in the ground. The length of C in the ground is 24 cm longer than the length of D in the ground. What is the total length of rods C and D?
Fraction of Rod C above ground
= 1 -
18 =
78 Fraction of Rod D above ground
= 1 -
111 =
1011 Heights of Rods C and D above ground are the same.
78 C =
1011 D
7080 C =
7077 D
Length of Rod C more than length of Rod D
= 80 u - 77 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total length of Rods C and D
= 80 u + 77 u
= 157 u
= 157 x 8
= 1256 cm
Answer(s): 1256 cm