Friday, May 11, 2018

Trains


Q. What is the time required by a 110 m long train to cross a tunnel 220 m 
     long at rate of 22 m/s

Ans. The formula for this is as below.


Time = Distance  = 220+110 = 15 s
             Speed            22


Q. A train running at the speed of 60 Km/hr crosses a pole in 9 sec.
     What is the length of the train in meters.

Ans. The formula for this is as below.

Length of the train = Speed X Time = 60 X 9 X   = 150 m
                                                                             18

Km  = 1000  =   meter
 Hr      3600    18   Sec


Q. How many seconds will a train , 60 m in length, travelling at the rate of 42 Km an hour take to pass another train 84 m long proceeding in the same direction at the rate of 30 Km an hour.

Ans. Time = Total Length        = (60 + 84) X 18  = 43.2 sec
                      Relative Speed       (42-30) X 5


Q. Two Trains are running at 40 Km/hr and 20 Km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec.
What is the length of fast train.

Ans. Length of the fast train = Relative Speed X Time

                                                 = (40-20) X  5 X 5 = 22   m
                                                                    18                9

Km  = 1000  =   meter
 Hr      3600    18   Sec


Q. A train 50 m long passes a platform 100 m long in 10 sec.
     Find the speed of the train in Km/hr.

Ans.
Speed = Distance  = 50+100 = 15 m/s X 18  = 54 Km/hr
                Time               10                         5

Q. A 180 m long train crosses a man standing on the platform in 6 sec.
     What is the speed of the train.

Ans.


Speed = Distance = 180  X 18  = 108 Km/hr
                Time            6         5


Q. Two trains whose lengths are 180 m and 220 m respectively are running in direction opposite to one another with respective speeds of 40 Km/hr and 50 Km/hr.
Find the time taken by them to cross each other.

Ans. 


Time taken = Total Length        =  220+180  X 18  = 16 s
                        Relative Speed         50+40         5


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