A 100 m train is moving towards the railway station with the speed of 50 m/s. The train is 1 km away from the railway station. The time taken by the
train to cross the station is
20 s
22 s
10s
11s
Answers
Answer:
★ Question :
A 100 m train is moving towards the railway station with the speed of 50 m/s . The train is 1 km away from the railway station. The time taken by the train to cross the station is
20 s
22 s
10s
11s
★ Solution :
We have total distance , speed of the train and we need to find the time taken to cross the station . So , Isn't it easy to calculate ? We can calculate it by using speed-distance formula .
Length of the train (L) = 100 m
Speed of the train (S) = 50 m/s
Distance b/w train and station (d) = 1 km
= 1000 m
Time taken to cross the station (t) = ? s
Total distance to be traveled (D) = Length of the train + Distance b/w train & station
➠ D = L + d
➠ D = 100 + 1000
➠ D = 1100 m
We know that ,
Time taken to cross the station is 22 s .
Total distance covered in 6 seconds =100+120=220m=0.220km
Total time, t= 36006hr
Now, let x be the speed of the train of 120m long.
Then, x+50= 36006
0.220⇒x=82 km/hr