Each question below is followed by three statements I, II, and III. 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. At what time the train will reach Delhi? Statement I: The train crosses a tunnel of the length of 300 meters in 30 seconds. Statement II: The train leaves Jammu at 7 : 20 am for Delhi, situated at a distance of 520 km. Statement III: The train has a length of 200 meters.
Each question below is followed by three statements I, II, and III. 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. At what time the train will reach Delhi? Statement I: The train crosses a tunnel of the length of 300 meters in 30 seconds. Statement II: The train leaves Jammu at 7 : 20 am for Delhi, situated at a distance of 520 km. Statement III: The train has a length of 200 meters. Correct Answer If the data in statement I, II and III together are sufficient to answer the question.
Calculation:
From statement I
The length of the train is not given. We cannot determine the time taken by train to reach Delhi.
So, the Statement I alone is not sufficient to answer the question.
From statement II
The speed of the train is not given. We cannot determine the time taken by train to reach Delhi.
So, the statement II alone is not sufficient to answer the question
From statement III
The speed of the train and Distance between Delhi and Jammu is not given. We cannot determine the time taken by train to reach Delhi.
So, the statement III alone is not sufficient to answer the question.
From statement I, statement II, and statement III together
Speed of the train = (Length of train + Length of the tunnel)/Time taken by train to cross the tunnel
⇒ (200 + 300)/30
⇒ 500/30
⇒ 50/3 m/sec
Or (50/3) × (18/5)
⇒ 60 km/h
Time is taken by train to reach Delhi = 520/60
⇒ 8.66
Or 8 hour 40 min
Train will reach Delhi at = 7: 20 + 8: 40
⇒ 16: 00
Or 4: 00 pm
So, statement I, statement II, and statement III together are sufficient to answer the question.
∴ Statement I, II and III together are sufficient to answer the question.