Solving Train Travel Time with Increased Speed
The question asks to find the time taken by a train to cover a distance of $360 \text{ km}$ after its speed is increased by $10 \text{ km/h}$. We first need to determine the initial speed of the train.
Initial Speed Calculation
- Given: Distance = $360 \text{ km}$, Initial Time = $4 \text{ hours}$.
- Formula: Speed = $\frac{\text{Distance}}{\text{Time}}$
- Calculation: Initial Speed ($s_1$) = $\frac{360 \text{ km}}{4 \text{ h}} = 90 \text{ km/h}$.
New Speed and Time Calculation
- New Speed: The speed is increased by $10 \text{ km/h}$.
- New Speed ($s_2$) = Initial Speed + $10 \text{ km/h}$ = $90 \text{ km/h} + 10 \text{ km/h} = 100 \text{ km/h}$.
- Distance: The distance remains the same, $360 \text{ km}$.
- Formula: Time = $\frac{\text{Distance}}{\text{Speed}}$
- Calculation: New Time ($t_2$) = $\frac{360 \text{ km}}{100 \text{ km/h}} = 3.6 \text{ hours}$.
Therefore, the train will take $3.6 \text{ hours}$ to cover the same distance with the increased speed.
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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:
