two metra trains are on separate but parallel tracks. One has a speed of 90 km/hr, the other 80 km/hr. Initially, the two trains are 2.71 km apart. How long will it take the two trains to pass each other?
(v1+v2)t=s
t=s/(v1+v2)=2.71/170=0.016 h= 57.4 s.
57 seconds
To find out how long it will take for the two trains to pass each other, we need to determine the relative speed at which they are approaching each other.
The relative speed of the two trains can be found by adding their individual speeds together. In this case, the relative speed would be:
Relative speed = 90 km/hr + 80 km/hr = 170 km/hr
Now, we can use the formula:
Time = Distance / Speed
The distance between the two trains is given as 2.71 km, and the relative speed is 170 km/hr.
Plugging these values into the formula, we can find the time it takes for the two trains to pass each other:
Time = 2.71 km / 170 km/hr
Calculating this division, we find:
Time = 0.01594 hours
Since the time is in hours, we can convert it to minutes by multiplying it by 60:
Time = 0.01594 hours * 60 minutes/hour
This gives us:
Time = 0.9564 minutes
Therefore, it will take approximately 0.9564 minutes for the two trains to pass each other.
To find out how long it will take for the two trains to pass each other, we need to first determine their relative speed. The relative speed of two moving objects traveling in the same direction can be found by subtracting the speeds of the two objects.
In this case, Train 1 has a speed of 90 km/hr and Train 2 has a speed of 80 km/hr. Therefore, the relative speed can be calculated as follows:
Relative speed = Speed of Train 1 - Speed of Train 2
= 90 km/hr - 80 km/hr
= 10 km/hr
Now that we have the relative speed, we can determine the time it takes for the two trains to meet by dividing the initial distance between them by the relative speed.
Distance = Relative speed × Time
Let's denote the time it takes for the two trains to pass each other as "t".
2.71 km = 10 km/hr × t
To solve for "t", we need to convert the distance into the same units as the relative speed. As both are currently in kilometers, we do not need to make any conversions.
Now we can rearrange the equation to solve for "t":
t = 2.71 km / 10 km/hr
= 0.271 hr
To convert this to minutes, we multiply by 60 (since there are 60 minutes in an hour):
t = 0.271 hr × 60 min/hr
≈ 16.26 min
Therefore, it will take approximately 16.26 minutes for the two trains to pass each other.