A river 500 ft wide flows with a speed of 6 ft/s with respect to the earth. A woman swims with a speed of 3 ft/s with respect to the water. a) If the woman heads directly across the river, how far downstream is she swept when she reaches the opposite bank

Question

Mathematics

Elsie Knapp

10 October, 16:11

A river 500 ft wide flows with a speed of 6 ft/s with respect to the earth. A woman swims with a speed of 3 ft/s with respect to the water. a) If the woman heads directly across the river, how far downstream is she swept when she reaches the opposite bank

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Answers (1)

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Braydon Abbott · Answer 1

The distance traveled in this time downstream is 1,000 ft

Step-by-step explanation:

In order to calculate how far downstream is she swept when she reaches the opposite bank we would have to make the following calculation:

distance traveled in this time downstream=speed*time to reach other side

speed=6 ft/s

time to reach other side=500/3

time to reach other side=166.66 s

Therefore, distance traveled in this time downstream = 6*166.66

distance traveled in this time downstream = 1,000 ft

The distance traveled in this time downstream is 1,000 ft