Answer:
x = 1.5 years
Step-by-step explanation:
3 feet = 3·12 inches
3·12 + 18·x = 4·12 + 10·x
36 + 18·x = 48 + 10·x
36 + 8·x = 48
8·x = 12
x = 12/8 = 1.5 years
Answer:
Both type of trees will be of equal height after 1.5 years.
Step-by-step explanation:
Let both type (type A and type B) of trees will be of exactly same height after x years.
Type A trees are 3 feet or 36 inches tall and growing at the rate of 18 inches per year.
So the height of type A trees after x years will be = (18x + 36) inches.
Type B trees are 4 feet or 48 inches tall and growing at a rate = 10 inches per year
The height of type B trees after x years = (10x + 48) inches
Since after x years both type of trees are of the same height
Therefore, (18x + 36) = (10x + 48)
18x - 10x = 48 - 36
8x = 12
x = [tex]\frac{12}{8}[/tex]
x = 1.5 years
