If a Delhi to Mumbai Rajdhani train running at the speed of 30 m/s and covers 4.2 km long chunk in 7 minutes, then the length of the train is:
OPtion
1) 8.2 km
2) 8.6 km
3) 8.4 km
4) 7.8 km
5) 7.4 km
6) 9.0 km
7) 9.2 km
8) 9.4 km
9) 8.8 km
10) None of the above
Solution
Let the length of the train be y meters.
Time taken by the train to cover (4200+ y) meters at 30m/s in 420 seconds
i.e., distance = speed x time
(4200+y) = 30 x 420
4200+y = 12600
y = 12600 - 4200 m
i.e., y = 8.4 km
Hence the length of the train is 8.4 km