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The train's speed on flat land can be represented as x mph. Going uphill, it will travel at 2/3 of its speed, so its speed will be 2/3x mph. Going downhill, it will travel at twice its speed, so its speed will be 2x mph. We are given that the train's speed is 2/3x mph and that it travels 120 mph downhill. This means that 2/3x = 120, so x = 180 mph.

Now that we know the train's speed on flat land is 180 mph, we can use the formula speed = distance/time to find the time it takes to travel 45 miles. Rearranging the formula, time = distance/speed, we get time = 45/180 = 1/4 hours = 15 minutes. Therefore, it would take the train 15 minutes to travel 45 miles on flat land. This is equivalent to 30 minutes, so the correct answer is A.

The other options (B, C, D) are incorrect because they do not consider the train's different speeds while going uphill, downhill, and on flat land. Option B assumes the train would