PSLEZane pushes two rods, U and V, straight into the ground until the length of each rod that is above the ground is the same.
13 of U and
16 of V are in the ground. The length of U in the ground is 9 cm longer than the length of V in the ground. What is the total length of rods U and V?
Fraction of Rod U above ground
= 1 -
13 =
23 Fraction of Rod V above ground
= 1 -
16 =
56 Heights of Rods U and V above ground are the same.
23 U =
56 V
1015 U =
1012 V
Length of Rod U more than length of Rod V
= 15 u - 12 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Total length of Rods U and V
= 15 u + 12 u
= 27 u
= 27 x 3
= 81 cm
Answer(s): 81 cm