Speed, Time and Distance
 A 120 m long train takes 10 seconds to cross a man standing on a platform. What is the speed of the train ?

 12 m/sec.
 10 m/sec.
 15 m/sec.
 20 m/sec.

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In crossing a man standing on platform, train crosses its own length.
∴ Speed of train = 120 = 12 m/s 10 Correct Option: A
In crossing a man standing on platform, train crosses its own length.
∴ Speed of train = 120 = 12 m/s 10
 A train is 125 m long. If the train takes 30 seconds to cross a tree by the railway line, then the speed of the train is :

 14 km/hr
 15 km/hr
 16 km/hr
 12 km/hr

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Speed = Distance Time = 125 = 4.16m/s 30 4.16 m/s = 4.16 × 18 5
= 15 km/hrCorrect Option: B
Speed = Distance Time = 125 = 4.16m/s 30 4.16 m/s = 4.16 × 18 5
= 15 km/hr
 How many seconds will a 500 metre long train take to cross a man walking with a speed of 3
km/hr. in the direction of the moving train if the speed of the train is 63 km/hr ?

 25 sec
 30 sec
 40 sec
 45 sec

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Relative speed of train = 63–3 = 60 kmph
= 60 × 5 m/sec 18 ∴ Time = Length of train Relative Speed = 500 × 18 = 30 sec. 60 × 5 Correct Option: B
Relative speed of train = 63–3 = 60 kmph
= 60 × 5 m/sec 18 ∴ Time = Length of train Relative Speed = 500 × 18 = 30 sec. 60 × 5
 A train 100m long is running at the speed of 30 km/hr. The time (in second) in which it will pass a man standing near the railway line is :

 10
 11
 12
 15

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In this situation, the train covers it length.
Required time = 100 hr. 30 × 1000 Required time = 100 × 60 × 60 = 12 seconds 30 × 1000 Correct Option: C
In this situation, the train covers it length.
Required time = 100 hr. 30 × 1000 Required time = 100 × 60 × 60 = 12 seconds 30 × 1000
 A train 180 m long moving at the speed of 20 m/sec. overtakes a man moving at a speed of 10m/sec in the same direction. The train passes the man in :

 6 sec
 9 sec
 18 sec
 27 sec

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Relative speed of man and train = 20 – 10 = 10m/sec.
∴ Required time = 180 = 18 seconds 10 Correct Option: C
Relative speed of man and train = 20 – 10 = 10m/sec.
∴ Required time = 180 = 18 seconds 10