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30-10-2021
Mathematics

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A boat can travel 56mph in still water. If it travels 252 miles with the current in the same length of time it travels 196 miles against the current, what is the speed of the current?

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Аноним Аноним

30-10-2021

Answer:

Step-by-step explanation:

Speed with the current = x + 56 where x is the speed of the current

Distance = speed * time

so 252 = t(x + 56)

t = 252 / (x + 56) (A)

In the same way:

196 = t(x - 56)

t = 196 / (x - 56) (B)

Therefore, equating (A) and (B):

252 / (x + 56) = 196 / (x - 56)

196x + 10976 = 252x - 14112

25088 = 56x

x = 448.

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