In his motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing spot, a distance of 264 mi, in 6 hr. Returning, he finds that the trip downstream, still at top speed, takes only 5.5 hr. Find the rate of Bill's boat and the speed of the current. Let x = the rate of the boat in still water and y = the rate of the current.

The values are  

Step-by-step explanation:

From the question we are told that

   The distance covered is  d =  264 miles

     The time taken is

     The time taken for the return trip is  

Generally during the trip  toward fishing spot , the velocity is mathematically represented as

=>  

=>    

Generally during the  return trip  , the velocity is mathematically represented as

=>  

=>  

add equation 1 and 2

=>    

substituting this  into  equation 1

=>