To find the length of the second train, we can use the concept of relative speed and the formula for relative motion. Given two trains moving in the same direction, their relative speed is the difference in their speeds.
- First, convert the speeds from km/h to m/s, because the length of the trains are given in meters and the time in seconds.
- The first train's speed: 40 \ \text{km/h} = 40 \times \frac{1000}{3600} \ \text{m/s} = \frac{100}{9} \ \text{m/s}.
- The second train's speed: 22 \ \text{km/h} = 22 \times \frac{1000}{3600} \ \text{m/s} = \frac{55}{9} \ \text{m/s}.
- Calculate the relative speed:
- The relative speed when both are moving in the same direction is: \left(\frac{100}{9} - \frac{55}{9}\right) \ \text{m/s} = \frac{45}{9} \ \text{m/s} = 5 \ \text{m/s}.
- According to the problem, the trains take 1 minute to cross each other completely, which is 60 seconds.
- The total distance covered relatively in these 60 seconds at 5 m/s is:
- \text{Distance} = \text{Relative speed} \times \text{Time} = 5 \times 60 = 300 \ \text{meters}.
- The total length of both trains combined is 300 meters according to the distance calculation.
- Given the length of the first train is 125 meters, the length of the second train can be calculated as:
- \text{Length of second train} = 300 - 125 = 175 \ \text{meters}.
Thus, the length of the second train is 175 meters.
Similar Questions
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A runner completes one lap of a 200 meter circular track in 50 seconds. What is the average speed of the runner?
If a scooter travels at a constant speed of 25 km per hour, how far will it travel in 4 hours?
- Raj takes $2 \frac{1}{3}$ hours to complete a certain distance at a speed of 51 km/hr. What time would Kiran take to complete the same distance at a speed of 68km/hr?
Important Questions from Speed Time and Distance
The average speed of a train is 180% of the average speed of a car. The car covers a distance of 990 km in 15 hours. The time taken (in hours) by the train to cover the distance of 891 km is:
If Rohit can cover a distance of 1188 km in 22 hours, then what is the speed of Rohit?
A train is moving at 72 km/hrs. The distance covers in 15 minutes by the train is:
If Sonu is driving a car at a speed of 20 m/s, then in how much time Sonu will cover a distance of 936 km?
A person crosses a 1600 m long street in 4 min. What is his speed (in km/h)?
