PSLEJohn pushes two poles, Q and R, straight into the ground until the length of each pole that is above the ground is the same.
13 of Q and
17 of R are in the ground. The length of Q in the ground is 6 cm longer than the length of R in the ground. What is the total length of poles Q and R?
Fraction of Pole Q above ground
= 1 -
13 =
23 Fraction of Pole R above ground
= 1 -
17 =
67 Heights of Poles Q and R above ground are the same.
23 Q =
67 R
69 Q =
67 R
Length of Pole Q more than length of Pole R
= 9 u - 7 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Total length of Poles Q and R
= 9 u + 7 u
= 16 u
= 16 x 3
= 48 cm
Answer(s): 48 cm