PSLEBobby pushes two sticks, P and Q, straight into the ground until the length of each stick that is above the ground is the same.
16 of P and
110 of Q are in the ground. The length of P in the ground is 24 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 -
16 =
56 Fraction of Stick Q above ground
= 1 -
110 =
910 Heights of Sticks P and Q above ground are the same.
56 P =
910 Q
4554 P =
4550 Q
Length of Stick P more than length of Stick Q
= 54 u - 50 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total length of Sticks P and Q
= 54 u + 50 u
= 104 u
= 104 x 6
= 624 cm
Answer(s): 624 cm