Quantitative Aptitude
Problems on Trains
989 Questions
Problems on Trains Questions
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$\dfrac { 5}{ 2 } $
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$\dfrac { 25}{ 11 } $
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$\dfrac { 3}{ 2 } $
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$\dfrac { 11}{ 5 } $
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$10.20$ a.m.
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$10.26$ a.m.
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$11.30$ a.m.
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Data not sufficient.
B
Correct answer
Explanation
Relative speed = 40 + 32 = 72 km/h = 72 * (5/18) = 20 m/s. Total distance = 121 + 99 = 220 m. Time = 220 / 20 = 11 s.
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$4\;ms^{-1}$
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$2\;ms^{-1}$
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$4\;ms^{-1}$ in the opposite direction of the train
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zero
D
Correct answer
Explanation
The velocity of the passenger relative to the ground is the vector sum of the train's velocity and the passenger's velocity relative to the train. Since the train moves at 2 m/s and the passenger walks at 2 m/s in the opposite direction, the resultant velocity is 2 - 2 = 0 m/s.
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$30 s$
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$15 s$
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$6 s$
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$3 s$
C
Correct answer
Explanation
When two objects move in opposite directions, their relative speed is the sum of their speeds. Relative speed = 20 + 5 = 25 m/s. Time = distance / relative speed = 150 / 25 = 6 seconds.
D
Correct answer
Explanation
The total distance to cover is the length of the train plus the length of the bridge: 100 m + 1000 m = 1100 m. The speed is 45 km/hr, which is 45 * (5/18) = 12.5 m/s. Time = Distance / Speed = 1100 / 12.5 = 88 seconds.
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$8$sec
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$13.5$ sec
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$12$ sec
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$10$ sec
D
Correct answer
Explanation
Relative speed = 15 + 25 = 40 m/s. Total distance to cover = 200 + 200 = 400 m. Time = Distance / Relative Speed = 400 / 40 = 10 seconds.
D
Correct answer
Explanation
Total distance covered by the train to cross the bridge = Length of train + Length of bridge. Distance = Speed * Time = 30 m/s * 20 s = 600 m. Length of train = 600 - 400 = 200 m.
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23 m
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$23 \dfrac{2}{9}$
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$27 \dfrac{7}{9}$
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29 m
C
Correct answer
Explanation
Relative speed = 40 - 20 = 20 km/hr = 20 * (5/18) m/s = 100/18 = 50/9 m/s. Length = Speed * Time = (50/9) * 5 = 250/9 = 27 7/9 m.
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$300\ m$
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$320\ m$
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$340\ m$
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$360\ m$
B
Correct answer
Explanation
Convert 72 km/hr to 20 m/s. Since the train takes 16 seconds to pass the stationary man, its length is 20 x 16 = 320 m.
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$4.5\ S$
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$6.67\ s$
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$3.5\ s$
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$7.25\ s$
B
Correct answer
Explanation
Relative speed = 72 + 36 = 108 km/h = 108 * (5/18) = 30 m/s. Total distance to cover = 100 + 100 = 200 m. Time = Distance / Speed = 200 / 30 = 6.67 s.
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$5s$
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$36s$
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$38s$
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$None\ of\ these$
A
Correct answer
Explanation
Relative speed = 20 + 30 = 50 m/s. Total distance to cover = 120 + 130 = 250 m. Time = distance / speed = 250 / 50 = 5 seconds.
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$5 s$
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$10 s$
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$12 s$
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$20 s$
A
Correct answer
Explanation
Since the train and the bird are moving in opposite directions, their relative speed is the sum of their speeds: 16 + 4 = 20 m/s. The time taken to cross is distance / relative speed = 100 / 20 = 5 seconds.
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$40 \mathrm { km } / \mathrm { hr }$
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$25 \mathrm { km } / \mathrm { hr }$
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$20 \mathrm { km } / \mathrm { hr }$
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$46.6 \mathrm { km } / \mathrm { hr }$