Aland surveyor can survey 1 3/5 miles of a land's borders in 1 1/4 hours. how long will it take him to complete a survey for 1 mile of a land's border?

This problem is an example of Ratio and Proportion.
We will write the problem into the form miles / hours = miles / hours

On the first survey of the surveyor, he took 1 3/5 miles for 1 1/4 hours.
Therefore, we can write this as 1 3/5 / 1 1/4 or 8/5 / 5/4

And on his second survey, it ask how long he will take for 1 mile.
So, we will let x for the number of hours he took the survey for 1 mile.
Therefore we can write this as 1 / x.

We will now equate the two surveys.
            
            × = 1 / x
                                            
we'll do cross multiplication, and it will become
                                             32x = 25
                                                 x = 25 / 32

Therefore, it will take him 25 / 32 hours to complete a survey for 1 mile.

                          
      

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.