Question

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours.. If b = the rate of the boat in still water and c = the rate of the current, which of the following equations represents the trip upstream?. A] 3(b - c) = 120. B] 4(b - c) = 120. C] 4(b + c) = 121

Answer 1

The boat makes 120 mile trip downstream in 3 hours, but makes the return trip in 4 hours. If b-the rate of the boat in still water and c= the rate of the current, the following equations represents the trip upstream; 4(b - c) = 120. The answer will be B.

Answer 2

B. The equations that represents the trip upstream is 4(b - c) = 120.

Distance covered by the boat upstream

The upstream distance is calculated from relative velocity formula.

(Vb - Vc)t = D

where;

• Vb is the rate of the boat in still water
• Vc is the rate of the current
• t is time of motion
• D is distance

(b - c)4 = 120

Thus, the equations that represents the trip upstream is 4(b - c) = 120.

Learn more about relative velocity here: https://brainly.com/question/17228388

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