Question

A is 2 feet tall and grows at a rate of 25 inches per year B is 10 feet y'all and grows at a rate of 9 inches per year How many years will it take for it to be the same height

Answer 1

The number of years it will take for them to be the same height is 6 years

Explanation:

Here we have a question relating to optimization

Let the number of years at which they will be the same height be M

we then have

2 ft + (25/12 × M) ft= 10 ft + (9/12 × M) ft which gives

→ (25/12 × M) ft - (9/12 × M) ft = 10 ft - 2 ft

→ (25/12 × M) ft - (9/12 × M) ft = 8 ft

→4/3 M ft = 8 ft

Therefore, M = (8 ft)÷(4/3 ft) = 6

Therefore, it will take 6 years for them to be the same height.