Final answer:
Two trains traveling in opposite directions at speeds of 80 km/h and 90 km/h will be 442 kilometers apart in 2.6 hours.
Step-by-step explanation:
The student is asking how long it will take for two trains traveling in opposite directions to be 442 kilometers apart. The westbound train travels at 80 kilometers per hour, while the eastbound train travels at 90 kilometers per hour. To find the time when they will be 442 kilometers apart, we should first determine their combined speed, which is the sum of both trains' speeds, because they are traveling in opposite directions. Therefore, their combined speed is 80 km/h + 90 km/h = 170 km/h. Now we can divide the total distance by the combined speed to find the time: 442 km ÷ 170 km/h = 2.6 hours. Hence, it will take 2.6 hours for the two trains to be 442 kilometers apart.