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      

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation: