Question

brandon is on one side of a river that is 60 m wide and wants to reach a point 300 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. find the minimum amount of time if brandon can swim at 2 m/s and run at 4 m/s.

Answer 1

The minimum amount of time for Brandon to reach the point 300 m downstream is 228 s.

Step-by-step explanation:

To find the minimum amount of time for Brandon to reach the point 300 m downstream, we need to calculate the time spent swimming across the river and the time spent running the rest of the way.

Using the Pythagorean theorem, we can find the diagonal distance Brandon needs to swim: √(60^2 + 300^2) = 306 m. Since Brandon swims at 2 m/s, the time spent swimming is 306 m / 2 m/s = 153 s.

The time spent running the remaining distance is 300 m / 4 m/s = 75 s.

Therefore, the minimum amount of time for Brandon to reach the point is 153 s + 75 s = 228 s.