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Bunuel
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Given:

Speed of the river's current (c) = 2 mph

Upstream distance = 6 miles

Upstream time = 3 hours

Step 1: Find the upstream speed
Upstream Speed = Distance / Time
Upstream Speed = 6 / 3 = 2 mph

Step 2: Find the speed of the ship in still water (v)
The formula for upstream speed is v - c.
v - 2 = 2
v = 4 mph

Step 3: Find the downstream speed
The formula for downstream speed is v + c.
Downstream Speed = 4 + 2 = 6 mph

Step 4: Calculate the time taken to travel downstream
We need to find the time it takes to travel the same distance (6 miles) downstream.
Time = Distance / Speed
Time = 6 / 6 = 1 hour

Correct Answer: D
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Correct Answer: (D) 1

GIVEN:
- River Speed (r) = 2 mph
- Upstream Distance = 6 miles, Upstream Time = 3 hours
- Target: Downstream Time for 6 miles

CALCULATION:
- Upstream Speed (s - r) = 6 miles / 3 hours = 2 mph
- Ship Speed in Still Water (s) = 2 + 2 = 4 mph
- Downstream Speed (s + r) = 4 + 2 = 6 mph
- Downstream Time = Distance / Downstream Speed = 6 / 6 = 1 hour

OPTIONS EVALUATION:
Choice (A) = 1/4 (Incorrect)
Choice (B) = 1/3 (Incorrect)
Choice (C) = 1/2 (Incorrect)
Choice (D) = 1 (Correct)
Choice (E) = 3/4 (Incorrect)

Conclusion: Answer Choice (D).

Bunuel
A river flows with a constant speed of 2 miles per hour. It takes 3 hours for a ship to go 6 miles upstream. How many hours does it take the ship to travel the same distance downstream?

A. \(\frac{1}{4}\)

B. \(\frac{1}{3}\)

C. \(\frac{1}{2}\)

D. \(1\)

E. \(\frac{3}{4}\)


Source: Math Revolution

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