PSLEPerry pushes two poles, Q and R, straight into the ground until the length of each pole that is above the ground is the same.
15 of Q and
18 of R are in the ground. The length of Q in the ground is 15 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 -
15 =
45 Fraction of Pole R above ground
= 1 -
18 =
78 Heights of Poles Q and R above ground are the same.
45 Q =
78 R
2835 Q =
2832 R
Length of Pole Q more than length of Pole R
= 35 u - 32 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Total length of Poles Q and R
= 35 u + 32 u
= 67 u
= 67 x 5
= 335 cm
Answer(s): 335 cm