Train Crossing Bridge Calculation
To find the time a train takes to cross a bridge, we need to consider the total distance the train must cover and its speed.
Determine Total Distance
The total distance the train needs to cover is the sum of its own length and the length of the bridge.
- Train Length ($L_t$) = 110 m
- Bridge Length ($L_b$) = 180 m
- Total Distance ($D$) = $L_t + L_b$ = 110 m + 180 m = 290 m
Convert Speed to Meters per Second
The train's speed is given in km/h, but the lengths are in meters. We need to convert the speed to m/s for consistency.
- Speed ($S$) = 90 km/h
- Conversion factor: 1 km/h = $\frac{5}{18}$ m/s
- Speed in m/s = $90 \times \frac{5}{18}$ m/s = $5 \times 5$ m/s = 25 m/s
Calculate Crossing Time
The time taken is calculated by dividing the total distance by the speed.
- Time ($T$) = $\frac{\text{Total Distance}}{\text{Speed}}$
- $T = \frac{D}{S}$ = $\frac{290 \text{ m}}{25 \text{ m/s}}$
- $T = 11.6$ s
Therefore, the train will take 11.6 seconds to cross the bridge.
Similar Questions
- A train 180 m long is running at a speed of 90 km/h. How long will it take to pass a post?
- A train service got disrupted due to an accident after a travel of 30 km. The speed was reduced to four-fifth of the original speed. This caused it a delay of 45 min. If the accident had happened 18 km farther, it would have been running late for 36 min. What was the original speed of the train?
- Two trains 136 m and 185 m in length respectively are running in opposite directions, one at a speed of 70 km/h and the other at a speed of 65 km/h. In what time will they be completely clear of each other from the moment they meet?
- Find the time taken by a 450 m long train travelling at the speed of 80 km/h to cross a platform of length 150 m.
- Two trains start from stations A and B and travel towards each other at the speeds of 60 km/h and 70 km/h respectively. At the time of their meeting, the second train has travelled 100 km more than the first. The distance between A and B is:
- A 300-m-long train crosses an electric pole in 5 s. Find the speed of the train.
- Simplify the following. $\sqrt{2 + \sqrt{2 + 2\cos 4\theta}}$
- A train is moving at a uniform speed of 75 km/h. Find the time required by the train to cover a distance of 250 km.
- The ratio between the speeds of two trains is 7 : 5. If the second train runs 400 km in 4 h, then the speed of the first train is:
- A train crosses a man on a platform in 10 s and crosses the platform of 260 m in length in 20 s. What is the length of the train?
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:
