A trains covers a distance of 15km in 12 minutes. If it takes 6 sec to pass a pole, the length of the train is:a.125mtsb.190mtsc.150mtsd.110mts
Question
A train covers a distance of 15 km in 12 minutes. If it takes 6 sec to pass a pole, what is the length of the train?
Options:
- a. 125 mts
- b. 190 mts
- c. 150 mts
- d. 110 mts
Solution
To solve this problem, we first need to find the speed of the train.
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We know that the train covers a distance of 15km in 12 minutes. To make the units compatible, we need to convert the distance to meters and the time to seconds.
15km = 15000 meters 12 minutes = 720 seconds
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Now, we can calculate the speed of the train using the formula: Speed = Distance / Time
Speed = 15000 meters / 720 seconds = 20.83 m/s
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We also know that the train takes 6 seconds to pass a pole. The length of the train is the distance it covers in this time.
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We can find this distance using the formula: Distance = Speed * Time
Distance = 20.83 m/s * 6 seconds = 125 meters
So, the length of the train is 125 meters. Therefore, the answer is a. 125mts.
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