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Problems on Trains ( 6 to 10 ):
APTITUDE QUESTIONS (PROBLEMS ON TRAINS):
6. A train runs at the speed of 90 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?
A) 330 m
B) 340 m
C) 360 m
D) 400 m
E) None of these
View Answer
Answer: option D
Explanation:
Speed = (90 * 5/18) m/sec = 25 m/sec; Time = 26 sec
Let the length of the train be x metres.
Then, (x+250) / 26 = 25 <=> x + 250 = 650 <=> x = 400
7. The length of a train and that of a platform are equal. If with a speed of 72 kmph the train crosses the platform in 1 minute, then the length of the train is:
A) 500
B) 600
C) 750
D) 900
E) None of these
View Answer
Answer: option B
Explanation:
Speed = (72 * 5/18) m/sec = 20 m/sec; Time = 1 min = 60 sec
Let the length of the train and that of platform be x metres.
Then, 2x/60 = 20 <=> x = 20*60/2 = 600
8. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A) 120 m
B) 240 m
C) 300 m
D) 280 m
E) None of these
View Answer
Answer: option B
Explanation:
Speed = (54 * 5/18) m/sec = 15 m/sec
Length of the train = (15 * 20) m = 300 m
Let the length of the platform be x metres
Then, (x+300) / 36 = 15 <=> x + 300 = 540 <=> x = 240 m
9. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A) 50 m
B) 150 m
C) 200 m
D) 250 m
E) None of these
View Answer
Answer: option B
Explanation:
Let the length of the train be x metres and its speed be y m/sec.
Then, x/y = 15 => y = x/15
∴ (x+100) / 25 = x/15 <=> x = 150 m
10. A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is:
A) 70 m
B) 80 m
C) 90 m
D) 100 m
E) None of these
View Answer
Answer: option C
Explanation:
Let the length of the train be x metres.
∴ (x+162) / 18 = (x+120) /15 <=> 15(x + 162) = 18(x + 120) <=> x = 90m