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**Solution**: You are a member of a geological team in
Central Africa. Your team comes upon a wide river that is flowing
east. You must determine the width of the river and the current
speed (the speed of the water relative to the earth). You have a
small boat with an outboard motor. By measuring the time it takes
to cross a pond where the water isnt flowing, you have calibrated
the throttle settings to the speed of the boat in still water. You
set the throttle so that the speed of the boat relative to the river is a
constant 6.00 m/s. Traveling due north across the river, you reach
the opposite bank in 20.1 s. For the return trip, you change the
throttle setting so that the speed of the boat relative to the water
is 8.20 m/s
. You travel due south from one bank to the other and
cross the river in 11.2 s.How wide is the river?What is the
current speed?With the throttle set so that the speed of the
boat relative to the water is 6.00 m/s, what is the shortest time in
which you could cross the river?Where on the far bank would
you land?

###### Problem

You are a member of a geological team in
Central Africa. Your team comes upon a wide river that is flowing
east. You must determine the width of the river and the current
speed (the speed of the water relative to the earth). You have a
small boat with an outboard motor. By measuring the time it takes
to cross a pond where the water isnt flowing, you have calibrated
the throttle settings to the speed of the boat in still water. You
set the throttle so that the speed of the boat relative to the river is a
constant 6.00 m/s. Traveling due north across the river, you reach
the opposite bank in 20.1 s. For the return trip, you change the
throttle setting so that the speed of the boat relative to the water
is 8.20 m/s
. You travel due south from one bank to the other and
cross the river in 11.2 s.

How wide is the river?

What is the
current speed?

With the throttle set so that the speed of the
boat relative to the water is 6.00 m/s, what is the shortest time in
which you could cross the river?

Where on the far bank would
you land?