a train leave Chicago at a 115 miles per hour towards Denver another train leaves Denver 105 miles per hour towards Chicago if the distance between the two cities is 1200 miles how long would it take before the two trains meet?
let time taken until they meet be t hrs
distance covered by first train = 115t miles
distance covered by 2nd train = 105t miles
115t+ 105t = 1200
220t = 1200
t = 5.454545.. hrs
or 5hrs and .4545..*60 min
= 5hrs and appr 27 minutes
(let's hope the trains are on different tracks)
let time taken until they meet be t hrs
distance covered by first train = 115t miles
distance covered by 2nd train = 105t miles
115t+ 105t = 1200
220t = 1200
t = 5.454545.. hrs
or 5hrs and .4545..*60 min
= 5hrs and appr 27 minutes
To find out how long it would take for the two trains to meet, you need to calculate their combined relative speed and then divide the total distance by this speed.
Let's first find the combined relative speed of the two trains:
Relative Speed = Speed of Train 1 + Speed of Train 2
Speed of Train 1 = 115 miles per hour
Speed of Train 2 = 105 miles per hour
Relative Speed = 115 miles per hour + 105 miles per hour
Relative Speed = 220 miles per hour
Now, we have the relative speed of the two trains. To find the time it would take for them to meet, we can use the formula:
Time = Distance / Speed
Distance between the two cities = 1200 miles
Relative Speed = 220 miles per hour
Time = 1200 miles / 220 miles per hour
Time ≈ 5.45 hours
Therefore, it would take approximately 5.45 hours for the two trains to meet.