Question

In ideal conditions, bamboo can grow 47.6 inches per day. At this rate, how many days will it take a bamboo shoot that is 8 inches tall to reach a height of 80 feet?

Answer 1

The bamboo shoot will take 200 days to reach at a height of 80 feet.

Explanation:

Given,

Height of bamboo shoot = 8 in

Rate of growth = 47.6 in/day

Since the shoot has to reach a height of 80 feet and the shoot is already 8 inch tall.

So the height that the shoot has to reach is the difference of given height and actual height of the shoot.

For this we have to convert 80 feet into inch.

And we all know 1 feet is equal to 12 inches.

`\therefore 80\ feet=80*12=960\ inches\\`

Now,

Height that the shoot has to reach= given height -actual height of the shoot

Height that the shoot has to reach=
`960-8=952\ in`

Here we use the unitary method to find the number of days.

∵ the shoot grow 4.76 inches in 1 day.

∴the shoot grow 1 inch =
`(1)/(4.76)`

∴the shoot grow 952 inches =
`(1)/(4.76)*952=200`

Thus the bamboo shoot will take 200 days to reach at a height of 80 feet.