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Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. A train started from a point P towards Q and met with an accident after traveling 30 km, the speed of train got reduced after the accident and finally reached the destination 16 min late, then what is distance covered between P and Q? I. The train would have reached 21 min late had the accident happened 10 km after P. II. The train would have reached 12 min late had the accident happened 20 km before Q

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. A train started from a point P towards Q and met with an accident after traveling 30 km, the speed of train got reduced after the accident and finally reached the destination 16 min late, then what is distance covered between P and Q? I. The train would have reached 21 min late had the accident happened 10 km after P. II. The train would have reached 12 min late had the accident happened 20 km before Q Correct Answer if the data in either statement I alone or in statement II alone is sufficient to answer the question.

Let assume that accident took place at point ‘A’

Let the speed (km/min) before and after accident be ‘u’ and ‘v’

⇒ Total time taken by train had the accident not happened = PQ/v = (PA + AQ) /v

⇒ Total time taken due to accident = PA/v + AQ/u + 16

⇒ AQ × = 16

From statement I:

Let assume accident happened at ‘B’

⇒ BQ × = 21

⇒ (AQ + 20) × = 21

⇒ AQ = 64

⇒ PQ = 30 + 64 = 94 km

From statement II:

Let assume ‘C’ to be the point at which accident happened

⇒ CQ × = 20 = 12

⇒ AQ = 80/3 Km

⇒ PQ = 30 + 80/3 = 170/3 km

∴ Data in either statement I alone or in statement II alone is sufficient to answer the question

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