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