Train 1 from Chicago to Milwaukee = 14 meters/second
Train 2 from Milwaukee to Chicago = 22 meters/second
Distance between the two cities = 100 miles
Let's calculate the speed per hour of both trains, this way:
Train 1 = 14 meters/second * 60/60
Train 1 = 14 * 60 = 840 meters/minute
Train 1 = 840 meters/minute * 60/60
Train 1 = 50,400 meters/hour
Train 1 = 50.4 kilometers/hour
Train 1 = 50.4/1.609 per hour (to convert kilometers per hour to miles per hour)
Train 1 = 31.32 miles per hour
Now, let's calculate the speed per hour of the Train 2, as follows:
Train 2 = 22 meters/second * 60/60
Train 2 = 1,320 meters/minute
Train 2 = 1,320 meters/minute * 60/60
Train 2 = 79,200 meters/hour
Train 2 = 79.2 kilometers/hours
Train 2 = 79.2/1.609 per hour
Train 2 = 49.21 miles per hour
For finding the distance when the two trains will meet, we use the following equation:
Train 1 moving at 31.32 miles per hour, in t hours will cover 31.32t miles
Train 2 moving at 49.21 miles per hour, in t hours will cover 49.21t miles
31.32t + 49.21t = 100 (Distance between the two cities)
80.53t = 100
t = 100/80.53
t = 1.24 hours
t = 1.24 * 60 = 1 hour and 14 minutes, 24 seconds
Both trains will meet after 1 hour, 14 minutes and 24 seconds approximately
To convert this time to seconds, we do this:
1 hour to seconds = 60 * 60 = 3,600 seconds
14 minutes to seconds = 14 * 60 = 840 seconds
Total in seconds = 3,600 + 840 + 24
Total in seconds = 4,464