Chapter 6.1, Problem 20PPE

To determine

To calculate: Years after which the trees be the same height

Answer to Problem 20PPE

Two years.

Explanation of Solution

Given information: A plant nursery is growing a tree that is $3ft$ tall and grows at an average rate of $1ft$ per year. Another tree at the nursery is $4ft$ tall and grows at an average rate of $0.5ft$ per year.

Calculation:

Let’s say after $x$ number of years, the tress be the same height.

Now, height of first tree after $x$ years will be $3+x$ and height of second tree will be $4+0.5x$

  $\therefore$ for equal height,

  $3+x=4+0.5x$

  $\therefore x=2$

Therefore, after two years height of both the trees will be same.