Amotorboat takes 5 hours to travel 150 miles going upstream. the return trip takes 3 hours going downstream. what is the rate of the boat in still water and what is the rate of the current?

rate of the boat in still water:

rate of the current:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

going upstream              

----> equation A            

going downstream                                  

----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

Find the value of x                                

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: