Final answer:
After an hour and twenty minutes, the two trains traveling in opposite directions at 90 mph and 95 mph respectively will be approximately 246 miles apart when rounding to the nearest mile.
Step-by-step explanation:
To determine how far apart two trains are after an hour and twenty minutes, we need to calculate the distance each train travels and then sum the distances. The first train travels at an average speed of 90 miles per hour, and the second train at 95 miles per hour. An hour and twenty minutes is equivalent to 1.33 hours (since 20 minutes is 1/3 of an hour).
The distance the first train travels is 90 miles/hour × 1.33 hours = 119.7 miles, and the distance the second train travels is 95 miles/hour × 1.33 hours = 126.35 miles. The total distance apart is therefore 119.7 miles + 126.35 miles = 246.05 miles, which we round to the nearest mile, giving us 246 miles.