Two trains are running in opposite directions at the same speed. The length of each train is 175 m. If they cross each other in 7 s, the speed of each train is:
90 km/hr
Here's how to solve this problem step-by-step:
1. Understand the Concept: When two trains moving in opposite directions cross each other, their relative speed is the sum of their individual speeds. The time taken to cross each other is the time it takes for the entire length of both trains to pass a fixed point.
2. Define Variables:
- Length of each train (\(l\)) = 175 m
- Total length of both trains (\(L\)) = \(2l\) = 350 m
- Time taken to cross each other (\(t\)) = 7 s
- Speed of each train (\(v\)) = ? (we assume both trains have the same speed)
- Relative speed of the trains (\(v_r\)) = \(2v\)
3. Apply the Formula:
The formula relating distance, speed, and time is:
\( \text{Distance} = \text{Speed} \times \text{Time} \)
In this case, the distance is the total length of both trains, and the speed is the relative speed.
\(L = v_r \times t\)
Substitute the values:
\(350 = 2v \times 7\)
4. Solve for Speed:
Solve the equation for \(v\):
\(v = \frac{350}{14} = 25 \, m/s\)
5. Convert to km/hr:
To convert m/s to km/hr, multiply by \(\frac{18}{5}\):
\(v = 25 \, m/s \times \frac{18}{5} = 90 \, km/hr\)
Therefore, the speed of each train is 90 km/hr.
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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:
How long does a train 153 meters long running at the rate of 90 kmph take to cross a bridge 622 meters in length?
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:
