Speed, Time and Distance
- A train is moving at a speed of 132 km/hour. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 metres long?
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When a train crosses a railway platform, it travels a distance equal to sum of length of platform and its own length.
Speed = 132 kmph= 132 × 5 = 110 m/sec 18 3
∴ Required time= 110 + 165 seconds 110 3 = 275 × 3 = 7.5 seconds 110
Second Method :
Here, x = 110m,
u = 132 km/hr.= 132 × 5 = 110 m/sec 18 3
y = 165m, t = ?
usingt = x + y u t = 110 + 165 110 3 t = 275 × 3 110 = 25 × 3 = 15 = 7.5 sec 10 2 Correct Option: B
When a train crosses a railway platform, it travels a distance equal to sum of length of platform and its own length.
Speed = 132 kmph= 132 × 5 = 110 m/sec 18 3
∴ Required time= 110 + 165 seconds 110 3 = 275 × 3 = 7.5 seconds 110
Second Method :
Here, x = 110m,
u = 132 km/hr.= 132 × 5 = 110 m/sec 18 3
y = 165m, t = ?
usingt = x + y u t = 110 + 165 110 3 t = 275 × 3 110 = 25 × 3 = 15 = 7.5 sec 10 2
- A train takes 18 seconds to pass through a platform 162 m long and 15 seconds to pass through another platform 120 m long. The length of the train (in m) is :
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Let the length of the train be x metres.
When a train corsses a platform it covers a distance equal to the sum of lengths of train and platform. Also, the speed of train is same.∴ x + 162 = x + 120 18 15
⇒ 6x + 720 = 5x + 810
⇒ 6x – 5x = 810 – 720
⇒ x = 90
∴ The length of the train = 90m.Correct Option: C
Let the length of the train be x metres.
When a train corsses a platform it covers a distance equal to the sum of lengths of train and platform. Also, the speed of train is same.∴ x + 162 = x + 120 18 15
⇒ 6x + 720 = 5x + 810
⇒ 6x – 5x = 810 – 720
⇒ x = 90
∴ The length of the train = 90m.
- A train, 150 m long, takes 30 seconds to cross a bridge 500 m long. How much time will the train take to cross a platform 370 m long ?
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When a train croses a bridge, distance covered = length of (bridge + train).
∴ Speed of train = 150 + 500 30 = 650 = 65 m/sec. 30 3
∴ Time taken to cross the 370m long platform= 370 + 150 65 3 = 520 × 3 = 24 seconds 65 Correct Option: C
When a train croses a bridge, distance covered = length of (bridge + train).
∴ Speed of train = 150 + 500 30 = 650 = 65 m/sec. 30 3
∴ Time taken to cross the 370m long platform= 370 + 150 65 3 = 520 × 3 = 24 seconds 65
- A 75 metre long train is moving at 20 kmph. It will cross a man standing on the platform in
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Speed of train (in m/s) = 20 × 5 = 50 m/sec 18 9 Required time = 75 × 9 50
= 13.5 secondsCorrect Option: C
Speed of train (in m/s) = 20 × 5 = 50 m/sec 18 9 Required time = 75 × 9 50
= 13.5 seconds
- A train travelling at a speed of 30 m/sec crosses a platform, 600 metres long, in 30 seconds. The length (in metres) of train is
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Let the length of train be x
According to the question,x + 600 = 30 30
⇒ x + 600 = 900
⇒ x = 900 – 600 = 300 mCorrect Option: D
Let the length of train be x
According to the question,x + 600 = 30 30
⇒ x + 600 = 900
⇒ x = 900 – 600 = 300 m
