A river 100 m wide flows due south at 1 m/s. A boat that travels 1 m/s relative to the water is pointed due east as it crosses from the west bank. The boat reaches the east bank Group of answer choices100 m farther south141 m farther south100 m east of its starting point100 m farther north
Question
A river 100 m wide flows due south at 1 m/s. A boat that travels 1 m/s relative to the water is pointed due east as it crosses from the west bank. The boat reaches the east bank Group of answer choices100 m farther south141 m farther south100 m east of its starting point100 m farther north
Solution
The boat is pointed due east, but the current of the river is pushing it due south. This means that while the boat is trying to cross the river, it is also being pushed downstream.
The speed of the boat and the speed of the river are the same, 1 m/s. This means that for every second the boat is moving across the river, it is also being pushed 1 meter downstream.
Since the river is 100 m wide, it will take the boat 100 seconds to cross the river (because it's moving at 1 m/s). In that time, because the river is also moving the boat downstream at 1 m/s, the boat will be pushed 100 meters downstream.
So, the boat will reach the east bank 100 m farther south.
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