Question

A ship is at an anchor. Over its side hangs a rope ladder with rungs a foot apart. Eight

feet of this ladder is above water when the tide begins to rise at the rate of 8 inches per

hour. How much of the rope ladder will remain above water at the end of six hours?
Pls answer fast​

Answer 1

Given:

Height of ladder above water level = 8 feet

Rate of water rising due to tide = 8 inches/hour

To find:

How much rope ladder will remain above water after six hours ?

Solution:

As per question statement,

Rise in height of water per hour = 8 inches/hour

Converting inches to feet:

We know that

12 inches = 1 feet

1 inches = $\frac{1}{12}$ feet

8 inches = $\frac{1}{12} \times 8 = \frac{2}{3}$ feet

Rise in 1 hour = $\frac{2}{3}$ feet

Rise in 6 hour = $\frac{2}{3} \times 6 = 4 feet$

Earlier, height above water = 8 feet

Now, water has risen 4 feet

So, total height left above water for rope ladder = 8 - 4 = 4 feet