Find the ratio of the times taken for a train 300 m long and travelling at a speed of 63 km/h to cross a person travelling at a speed of 9 km/h in the opposite direction and to cross a bridge 400 m long.
Answers
Answer:
The bridge's length = 200m
The train's length = 300m.
Kindly note the entire train including the last wagons should cross the bridge. Hence, the total distance to be travelled = 200m + 300m = 500m
Speed of Train = 25m/s.
Therefore, Time = Distance/Speed = 500m/ 25 = 20second
Answer = (c) 20 seconds
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First of all, I neglect any relativistic phenomena as they are negligible in such cases.
Next, I assume that what you mean by crossing the bridge is that each and every part of the train crosses the bridge successfully.
Now, the image:
The thick line represents the train, and the thin brown one, the bridge (What, you knew that???)...
Thus, I name the front part of the train "A" and the end one "B". (You knew that one as well!!!)
So, according to your question, I have to calculate the time when both A and B reach the other end of the bridge. First let me do that for A:
Point A has to traverse 200m,
Meet universities from UK virtually.
That depends on what you mean by "cross a bridge."
If you mean you want the front car of the train to go from one end to the other, then the train must travel 200 meters.
200 m/(25 m/s) = 8 seconds.
Since 8 seconds is not an answer choice it's safe to say that what you meant was that the train starts with the front car at the beginning of the bridge and ends with the last car at the end of the bridge so that the entire train has gone completely over the bridge. Then the train has to travel the same 200 meters, plus an additional 300 to account for the length of the train, or 500 meters total.
500
Speed = Distance/Time, in this case the train is 300m but let's not consider the trains length for this equation because it is replaced by the bridge's distance. Therefore,
Distance = 200m.
Time = X and Speed =25 m/s
When changing the equation to Distance/Speed= Time
200/25= 8s
The time taken is 8 seconds.
Hope this helped
A train 100 meters long completely crosses a bridge 300 meters long in 45 seconds. What is the speed of the train?
A train 400m long is running at a speed of 40km/h. How long will it take to cross a bridge 800m long?
A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a of 60 km/hr?
Answer:
20second
Step-by-step explanation:
brige length=300m=500m
speed of train=25m/second
time=500/25=20second