How long does a train 153 meters long running at the rate of 90 kmph take to cross a bridge 622 meters in length?
31 second
To find the time taken by the train to cross the bridge, we need to calculate the total distance to be covered and convert the speed into meters per second ($\text{m/s}$).
Step 1: Find the Total Distance
When a train crosses a bridge, the total distance covered is the sum of the length of the train and the length of the bridge.
$$\text{Total Distance} = \text{Length of train} + \text{Length of bridge}$$
$$\text{Total Distance} = 153\text{ m} + 622\text{ m} = 775\text{ m}$$
Step 2: Convert Speed to $\text{m/s}$
The speed of the train is given in $\text{km/h}$. To convert it to $\text{m/s}$, multiply by $\frac{5}{18}$:
$$\text{Speed} = 90 \times \frac{5}{18}$$
$$\text{Speed} = 5 \times 5 = 25\text{ m/s}$$
Step 3: Calculate the Time Taken
Using the basic formula for time:
$$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$$
$$\text{Time} = \frac{775\text{ m}}{25\text{ m/s}} = 31\text{ seconds}$$
Conclusion
The train will take 31 seconds to cross the bridge.
The correct choice is Option 1.
Important Questions from Problem on Trains
Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.
If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?
A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?
A train with a uniform speed passes a 122 meters long platform in 17 seconds and a 210 meters long bridge in 25 seconds. The speed of the train is:
A train passes a 360 metre long platform in 40 seconds and a man standing on the platform in 16 seconds. The speed of the train is:
The length of a train and that of a platform are equal. If with a speed of 108 km/hr the train crosses the platform in one minute. Then the length of the train (in metres) is:
