distance=relative velocity*time=(90+80)*time=2.71
time=2.71/170 hr
time=2.71/170 hr
T = 0.0159 hours = 0.96 min.
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.