Explanation
First, find the speed of the train past the telegraph post:
Speed = Distance / Time = (Length of train) / 8 seconds
Since the length of the train is not given, let's call it "x". Then, Speed = x / 8
Now, find the speed of the train past the bridge:
Speed = Distance / Time = (Length of train + Length of bridge) / 20 seconds
= (x + 264) / 20
Since the speed of the train is the same in both cases, set up an equation:
x / 8 = (x + 264) / 20
Cross-multiply and solve for x:
20x = 8x + 2112
12x = 2112
x = 176
So, the length of the train is 176 meters.
Now, find the speed of the train:
Speed = x / 8 = 176 / 8 = 22 meters/second
Convert the speed to km/hr:
Speed = 22 m/s x (3600 s/h) / (1000 m/km) = 79.2 km/hr
The correct answer is:
79.2 km/hr