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In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Mohan travel from Delhi to Agra from train and he notices that with stoppages, he covers the total distance in 52.8 hours. He wants to calculate speed of the train without stoppages. Find the speed of the train excluding stoppages. Statement I∶ Distance between Delhi and Agra is 500 Km Statement II∶ The first stop lasts 2 minutes, second 4 minutes and others like this 6,8….100 minutes. Statement III∶ The train can cross the platform of stations between Delhi and Agra in 10 seconds each.

In the following question, 3 statements are given. You have to find which is/are necessary and sufficient to answer the following question. Mohan travel from Delhi to Agra from train and he notices that with stoppages, he covers the total distance in 52.8 hours. He wants to calculate speed of the train without stoppages. Find the speed of the train excluding stoppages. Statement I∶ Distance between Delhi and Agra is 500 Km Statement II∶ The first stop lasts 2 minutes, second 4 minutes and others like this 6,8….100 minutes. Statement III∶ The train can cross the platform of stations between Delhi and Agra in 10 seconds each. Correct Answer statement I and statement II are sufficient

Statement I

Let time without stoppages be x

Speed

⇒ 500/x

Statement II

⇒ (2 + 4 + 6 + 8…. + 100)/60 hours

⇒ 50 × (51/60)

⇒ 42.5 hours

X = 52.8 – 42.5

⇒ 10 hours

Required speed

⇒ 500/10

⇒ 50 kmph

Statement III

The data for train crossing a platform is not required here.

∴ statement I and statement II are sufficient to answer the question

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