Two Metra trains approach each other on separate but parallel tracks. Train A has a speed of 90 km/ hr, train B has a speed of 80 km/ hr. Initially, the two trains are 2.71 km apart. How long will it take the two trains to meet?
distance=relative velocity*time=(90+80)*time=2.71
time=2.71/170 hr
90T+80T = 2.71
T = 0.0159 hours = 0.96 min.
To find out how long it will take for the two trains to meet, we need to calculate the time it takes for them to cover the distance between them.
First, let's convert the speeds from km/hr to m/s to ensure we're consistent with units.
Train A's speed: 90 km/hr = 90 * (1000/3600) m/s = 25 m/s
Train B's speed: 80 km/hr = 80 * (1000/3600) m/s = 22.22 m/s
Now, we can calculate the relative speed of the two trains, which is the sum of their speeds. In this case, it is:
Relative speed = Speed of Train A + Speed of Train B = 25 m/s + 22.22 m/s = 47.22 m/s
Next, we can calculate the time it takes for the two trains to meet by dividing the distance between them by their relative speed:
Time = Distance / Relative speed
The distance between the two trains is given as 2.71 km. We need to convert this distance into meters to match the units of the relative speed. 1 km = 1000 m, so 2.71 km = 2.71 * 1000 m = 2710 m.
Now we can substitute the values into the formula:
Time = 2710 m / 47.22 m/s = 57.43 seconds
Therefore, it will take approximately 57.43 seconds for the two trains to meet.