Subject: General Aptitude · Chapter: Problems on Trains · Exam: · Marks: · Difficulty:
What is the length of the train? (Bank P.O., 2004) I. The train cosses a 280 m long platform in 18 sec. II. The train crosses a man standing on the platform in 10.5 sec. III. Speed of the train is 96 kmph.
(a)I and II only
(b)I and III only
(c)All I, II and III
(d)Any two of the three
(e)None of these
Answer
Answer (as printed): D
Explanation
Let the length of the train be x metres and its speed be y m/sec. x + 280 From I, we have : = 18 ...(i) From II, we have: y x = 10.5 ...(ii) y From III, we have: y = 96 kmph 5 80 = 96 × m/sec = m/sec ...(iii) 18 3 Clearly, the value of x can be found by solving any two equations out of (i), (ii) and (iii) simulaneously. So, any two of the three give the answer. \ The correct answer is (d).
Explanation as extracted from the printed page; notation may be imperfect.