Toronto is about 50.0 km from Ajax. A freight train starts out from Ajax for Toronto at 50.0 km/h. At the same time, a passenger train leaves Toronto for Ajax at 75 km/h. How much time passes before they meet one another, in minutes?
Well, let's calculate this using the formula Distance = Speed x Time. Since the two trains are approaching each other, we can add their distances together to get the total distance they travel before they meet.
The passenger train is traveling at 75 km/h, so its distance can be calculated as 75km/h x Time.
The freight train is traveling at 50 km/h, so its distance can be calculated as 50km/h x Time.
Both distances will add up to the total distance between Toronto and Ajax, which is 50 km.
Now, we can set up the equation:
75T + 50T = 50
Combining like terms:
125T = 50
Dividing both sides by 125:
T = 50/125
Simplifying:
T = 2/5
That means it will take 2/5 of an hour for the two trains to meet. To convert this to minutes, we multiply by 60 (since there are 60 minutes in an hour):
(2/5) x 60 = 24 minutes.
Therefore, it will take 24 minutes for the two trains to meet. But, don't worry, they won't miss their date!
To find the time it takes for the trains to meet, we need to determine how long it takes for them to cover the combined distance between Toronto and Ajax.
The distance between Toronto and Ajax is 50.0 km.
The freight train's speed is 50.0 km/h, while the passenger train's speed is 75 km/h.
To determine how long it takes for them to meet, we divide the distance by the combined speed of the two trains:
Time = Distance / Speed
Time = 50.0 km / (50.0 km/h + 75 km/h)
Time = 50.0 km / 125.0 km/h
Time = 0.4 hours
To convert this to minutes, we multiply by 60:
Time = 0.4 hours * 60 minutes/hour
Time = 24 minutes
Therefore, it takes 24 minutes for the freight train and passenger train to meet.
To determine the time it takes for the two trains to meet, we first need to determine their relative speed. This can be found by adding their individual speeds together.
The freight train is traveling at a speed of 50.0 km/h, and the passenger train is traveling at a speed of 75 km/h. Therefore, their relative speed is:
50.0 km/h + 75 km/h = 125 km/h.
Now, we can determine the time it takes for the trains to meet by using the formula:
Time = Distance / Speed.
The distance between Toronto and Ajax is given as 50.0 km.
Therefore, the time it takes for the trains to meet is:
Time = 50.0 km / 125 km/h.
To convert this time into minutes, we need to consider the time unit conversion:
1 hour = 60 minutes.
Therefore, the time in minutes can be calculated as:
Time (in minutes) = (50.0 km / 125 km/h) * (1 hour / 60 minutes).
Simplifying this equation, we have:
Time (in minutes) = (50.0 / 125) * (1 / 60) = 2/5 * 1/60 = 2/300.
To convert 2/300 into minutes, we multiply it by 60:
Time (in minutes) = (2/300) * 60 = 0.4 minutes.
Therefore, it takes approximately 0.4 minutes, or 24 seconds, for the two trains to meet each other.