Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 105 miles per hour. The westbound train travels at 95 miles per hour. How long will it take for the two trains to be 320 miles apart?Do not do any rounding.
Question
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 105 miles per hour. The westbound train travels at 95 miles per hour. How long will it take for the two trains to be 320 miles apart?Do not do any rounding.
Solution
To solve this problem, you need to understand that the two trains are moving in opposite directions. This means that their speeds are added together when calculating how fast they are separating.
Step 1: Add the speeds of the two trains together. The eastbound train is traveling at 105 mph and the westbound train is traveling at 95 mph.
105 mph + 95 mph = 200 mph
This is the rate at which the two trains are separating.
Step 2: Divide the total distance the trains need to be apart by the combined speed of the two trains. The trains need to be 320 miles apart.
320 miles ÷ 200 mph = 1.6 hours
So, it will take 1.6 hours for the two trains to be 320 miles apart.
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