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Question:

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

Options:
A.65 sec
B.89 sec
C.100 sec
D.150 sec
E.None of these
Answer: Option B
 -   Speed =   240 m/sec = 10 m/sec. 24  
 Required time =   240 + 650 sec = 89 sec. 10

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More Questions Related to Quantitative Aptitude > Problem On Trains :

Question 1.

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Options:
  1.    120 m
  2.    240 m
  3.    300 m
  4.    Data inadequate
  5.    None of these
Answer: Option B
 -   Speed =   54 x 5   m/sec = 15 m/sec. 18
Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be x metres.
Then, x + 300 = 15 36
 x + 300 = 540

 x = 240 m.
Question 2.

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

Options:
  1.    1 : 3
  2.    3 : 4
  3.    3 : 2
  4.    Data inadequate
  5.    None of these
Answer: Option C
 -  Let the speeds of the two trains be x m/sec and y m/sec respectively.

Then, length of the first train = 27x metres,

and length of the second train = 17y metres.
  27x + 17y = 23 x+ y  
27x + 17y = 23x + 23y

 4x = 6y
  x   =  3 . y 2
Question 3.

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

Options:
  1.    200 m
  2.    225 m
  3.    245 m
  4.    250 m
  5.    None of these
Answer: Option C
 -   Speed =   45 x 5 m/sec =   25 m/sec. 18 2
Time = 30 sec.

Let the length of bridge be x metres.
Then, 130 + x   =   25 30 2
 2(130 + x) = 750

 x = 245 m.
Question 4.

Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

Options:
  1.    50 m
  2.    72 m
  3.    80 m
  4.    82 m
  5.    None of these
Answer: Option A
 -   Let the length of each train be x metres.

 Then, distance covered = 2x metres.

 Relative speed = (46 - 36) km/hr
   =   10 x 5 m/sec 18      =   25 m/sec 9  
  2x   =  25 36 9  
 2x = 100

 x = 50.
Question 5.

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Options:
  1.    40 sec
  2.    42 sec
  3.    45 sec
  4.    48 sec
  5.    None of these
Answer: Option A
 -   Formula for converting from km/hr to m/s:   X km/hr =   X x 5   m/s. 18  
Therefore, Speed =   45 x 5 m/sec = 25 m/sec. 18 2 Total distance to be covered = (360 + 140) m = 500 m.
Formula for finding Time =   Distance   Speed  
 Required time =   500 x 2 sec = 40 sec. 25
Question 6.

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

Options:
  1.    36 sec
  2.    45 sec
  3.    48 sec
  4.    49 sec
  5.    None of these
Answer: Option C
 -  Relative speed = (60+ 90) km/hr
   =   150 x 5 m/sec 18  
   =   125 m/sec. 3 Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.
Required time =   2000 x 3 sec = 48 sec. 125

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