PSLENeave pushes two poles, M and N, straight into the ground until the length of each pole that is above the ground is the same.
14 of M and
16 of N are in the ground. The length of M in the ground is 8 cm longer than the length of N in the ground. What is the total length of poles M and N?
Fraction of Pole M above ground
= 1 -
14 =
34 Fraction of Pole N above ground
= 1 -
16 =
56 Heights of Poles M and N above ground are the same.
34 M =
56 N
1520 M =
1518 N
Length of Pole M more than length of Pole N
= 20 u - 18 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total length of Poles M and N
= 20 u + 18 u
= 38 u
= 38 x 4
= 152 cm
Answer(s): 152 cm