PSLEPeter 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
16 of R are in the ground. The length of Q in the ground is 9 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 -
16 =
56 Heights of Poles Q and R above ground are the same.
23 Q =
56 R
1015 Q =
1012 R
Length of Pole Q more than length of Pole R
= 15 u - 12 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total length of Poles Q and R
= 15 u + 12 u
= 27 u
= 27 x 3
= 81 cm
Answer(s): 81 cm