PSLEEthan pushes two poles, B and C, straight into the ground until the length of each pole that is above the ground is the same.
16 of B and
110 of C are in the ground. The length of B in the ground is 24 cm longer than the length of C in the ground. What is the total length of poles B and C?
Fraction of Pole B above ground
= 1 -
16 =
56 Fraction of Pole C above ground
= 1 -
110 =
910 Heights of Poles B and C above ground are the same.
56 B =
910 C
4554 B =
4550 C
Length of Pole B more than length of Pole C
= 54 u - 50 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total length of Poles B and C
= 54 u + 50 u
= 104 u
= 104 x 6
= 624 cm
Answer(s): 624 cm