Answer: To answer this question, we need to calculate the maximum possible speed of the train based on the given information and check if it is greater than 160 km/h.
First, let's use the given information to find the range of possible speeds of the train. The time taken by the train is given as 110 minutes, correct to the nearest 5 minutes. This means that the actual time taken by the train could be anywhere between 107.5 minutes and 112.5 minutes.
Converting the time to hours, we get:
Lower bound of time = 107.5 minutes = 107.5/60 hours = 1.792 hours
Upper bound of time = 112.5 minutes = 112.5/60 hours = 1.875 hours
Now, let's use the given distance of 270 km, correct to the nearest 10 km, to find the range of possible average speeds of the train. The lower bound of the distance is 265 km, and the upper bound is 275 km.
Lower bound of speed = 265 km / 1.875 hours = 141.3 km/h
Upper bound of speed = 275 km / 1.792 hours = 153.5 km/h
Therefore, based on the given information, the maximum possible speed of the train is 153.5 km/h, which is less than 160 km/h.
So, we can conclude that the average speed of the train could not have been greater than 160 km/h.
Explanation: