Question

Plant is 25 feet tall and plant B is 20 feet tall. Plant A grows2ft per week and plant B grows 2 1/5 feet per week. In how many weeks will the heights of the two plants be equal?

Answer 1

Answer :

Given
Height of plant A = 25 ft
Height of plant B = 20 ft
And
Rate of growth of plant A = 2 ft / week
Rate of growth of Plant B = $2\frac{1}{5}$ = $\frac{11}{5}$ ft / week

Let these plants at same height after x week , So
Height of plant A after x week
= 25 + 2 x
And
Height of plant B after x week
= 20 + $\frac{11}{5}$x
So, for find out how many week it take to make height same

25 + 2x = 20 + $\frac{11}{5}$x

125 + 10x = 100 + 11x

x = 25

So,
after 25 week both plant at same height ( Ans )