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A train of 24 carriages, each of 60 m length, while an engine also of 60 m length is running at a speed of 50 km/h. In how much time will the train cross a bridge 1.5 km long?
4 min
3 min
4 min
6 min
6 min
Calculate total length in meters (25 units ├Ч 60m = 1500m), bridge is 1500m. Total distance = 3000m (3 km). Speed = 50 km/h. Time = (3/50) hours = (3/50) * 60 minutes = 3.6 minutes.
Train consists of 24 carriages and 1 engine, each 60m long. Bridge length is 1.5 km. Train speed is 50 km/h.
Time=SpeedTotalDistanceтАЛ, 1km=1000m, 1h=60min
Calculate total length in meters (25 units ├Ч 60m = 1500m), bridge is 1500m. Total distance = 3000m (3 km). Speed = 50 km/h. Time = (3/50) hours = (3/50) * 60 minutes = 3.6 minutes.
Forgetting to include the train's own length (engine + carriages) in the total distance covered to clear the bridge completely.
Calculate total length of the train
The train has 24 carriages and 1 engine, totaling 25 units. Each is 60m long.
LengthtrainтАЛ=25├Ч60=1500m=1.5km
Determine total distance to cross
To fully cross the bridge, the train must cover the bridge length plus its own length.
Distance=1.5km(bridge)+1.5km(train)=3.0km
Calculate time taken
Using time = distance/speed with the given speed of 50 km/h.
Time=50km/h3kmтАЛ=0.06hours
Convert hours to minutes
Multiply the time in hours by 60 to get minutes.
0.06├Ч60=3.6min
D is correct because the total distance covered is 3 km and at a speed of 50 km/h, the time taken is 3.6 minutes.
This concept is foundational for 'Problems on Trains' in RRB/SSC exams where the 'total distance' is always (length of train + length of obstacle).