A motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 5.5 hours. Use this information to find the speed of the current.

The speed of the current is 9 miles per hourHow to determine the speed of the current?Given that: the motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning. Total time = 5.5 hours Let s = speed of the currentspeed downstream relative to land =  11 + sspeed upstream relative to the land = 11 - sspeed = distance/timetime = distance/speedupstream time + downstream time = total time 10/11-s  + 10/11+s = 5.5      (find LCM of 11-s and 11+s)10(11+s) + 10(11-s) /(11-s)(11+s)  = 5.5110+10s+110-10s /(11-s)(11+s)  = 5.5220 = 5.5(11-s)(11+s)220 = 5.5(121 - 11s + 11s - s²)220 = 5.5(121 - s²)220 = 665.5 - 5.5s²5.5c² = 665.5 - 220 5.5c² = 445.5s² = 445.5/ 5.5s² = 81s = √81 = 9Therefore, the speed of the current is 9 miles per hourLearn more about speed on:https://brainly.com/question/14335655#SPJ1