You are a member of a geological team in Central Africa. Yourteam comes upon a wide river that is flowing east. You mustdetermine the width of the river and the current speed (the speedof the water relative to the earth). You have a small boat with anoutboard motor. By measuring the time it takes to cross a pondwhere the water isnt flowing, you have calibrated the throttlesettings to the speed of the boat in still water. You set thethrottle so that the speed of the boat relative to the river is aconstant 6.00 m/s. Traveling due north across the river, you reachthe opposite bank in 20.1 s. For the return trip, you change thethrottle setting so that the speed of the boat relative to thewater is 8.20 m/s . You travel due south from one bank to the otherand cross the river in 11.2 s.
With the throttle set so that the speed of the boat relative tothe water is 6.00m/s, what is the shortest time in which you couldcross the river?
