Problem on Trains
- 150 m long train running with the speed of 90 km/h to cross a bridge in 26 s .What is the length of the bridge?
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Let length of bridge be L m.
We know, Speed = Distance/Time
According to the question,
90 x 5/18 = 150 + L/26Correct Option: A
Let length of bridge be L m.
We know, Speed = Distance/Time
According to the question,
90 x 5/18 = 150 + L/26
⇒ 25 x 26 = 150 + L
⇒ 650 = 150 + L
∴ L = 500 m
- A train running at the speed of 72 km/h goes past a pole in 15 s. What is the length of the train?
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Speed of train = Length of train / Time taken to cross the stationary object
∴ Length of train = Speed of train x Time taken to cross the stationary objectCorrect Option: C
Speed of train = Length of train / Time taken to cross the stationary object
∴ Length of train = Speed of train x Time taken to cross the stationary object
= 72 x 5 x (15/18) = 300 m
- A train takes 9 s to cross a pole. If the speed of the train is 48 km/h, then length of the train is ?
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Let the length of the train be L m.
New , speed = 48 km/h = 48 x (5/18) m/s
Train takes 9 s to cross a pole.
∴ : Length of train, L = Speed x TimeCorrect Option: B
Let the length of the train be L m.
New , speed = 48 km/h = 48 x (5/18) m/s
Train takes 9 s to cross a pole.
∴ : Length of train, L = Speed x Time
= 48 x (5/18) x 9 = 120 m
- Two trains A and B start from Delhi and Patna toward Patna and Delhi, respectively. After passing each other, they take 16 h and 9 h to reach Patna and Delhi, respectively. If the train from Delhi is moving at 90 km/h, then find the speed of the other train (in km/h) . ?
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Given t1 = 16 h , t2 = 9 h and a = 90 km/h
According to the question
∴ Speed of B = a√t1/ t2
Correct Option: A
Given t1 = 16 h , t2 = 9 h and a = 90 km/h
According to the question
∴ Speed of B = a√t1/ t2
= 90 x √16/9
= 90 x 4/3
= 30 x 4 = 120 km/h
- A train travelling at 48 km/h completely crosses an another train having half length of first train and travelling in opposite directions at 42 km/h in 12 s. It also passes a railways platform in 45 s . The length of the platform is ?
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Let the length of the first train be x m.
Then, the length of second train is (x/2) m
∴ Relative speed = (48 + 42) km/h = (90 x 5/18) m/s = 25 m/s
According to the question. (x + x/2) / 25 = 12Correct Option: A
Let the length of the first train be x m.
Then, the length of second train is (x/2) m
∴ Relative speed = (48 + 42) km/h = (90 x 5/18) m/s = 25 m/s
According to the question. (x + x/2) / 25 = 12
⇒ 3x/2 = 300
⇒ x = 200 m
∴ Length of first train = 200 m
Let the length of platform be y m .
Speed of the first train = (48 x 5/18) m/s = 40/3 m/s
Time = Distance / Speed
∴ (200 + y) x 3/40 = 45
⇒ 600 + 3y = 1800
∴ y = 400 m