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