Quantitative Aptitude
Problems on Trains
989 Questions
Problems on Trains Questions
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$675$ m
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$505$ m
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$847$ m
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$620$ m
A
Correct answer
Explanation
Speed = 54 km/hr = 54 * (5/18) = 15 m/s. Time = 1.5 minutes = 90 seconds. Total distance = Speed * Time = 15 * 90 = 1350 m. Since train length = platform length, 2 * platform = 1350, so platform = 675 m.
C
Correct answer
Explanation
Speed = 84 km/hr = 84 * (5/18) m/s = 70/3 m/s. Length = Speed * Time = (70/3) * 9 = 210 meters.
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$50.4$ km/hr
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$98$ km/hr
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$79.2$ km/hr
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$85$ km/hr
C
Correct answer
Explanation
Speed = Distance / Time = 132 m / 6 s = 22 m/s. Convert to km/hr: 22 * (18/5) = 79.2 km/hr.
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$90$ km/hr
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$108$ km/hr
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$120$ km/hr
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$88$ km/hr
B
Correct answer
Explanation
Speed = Distance / Time = 180m / 6s = 30 m/s. Convert to km/hr: 30 * (18/5) = 6 * 18 = 108 km/hr.
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$130$ m
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$200$ m
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$270$ m
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$170$ m
C
Correct answer
Explanation
Speed = 72 km/hr = 72 * 5/18 = 20 m/s. Distance = Speed * Time = 20 * 26 = 520 m. Train length = Distance - Platform = 520 - 250 = 270 m.
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$78.2$ km/hr
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$71.2$ km/hr
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$73.2$ km/hr
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None of these
D
Correct answer
Explanation
Let L be length and v be speed. L/v = 8 and (L+264)/v = 20. Subtracting: 264/v = 12, so v = 22 m/s. Converting to km/hr: 22 * (18/5) = 79.2 km/hr. Since 79.2 is not listed, 'None of these' is correct.
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$440$ m
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$400$ m
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$550$ m
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$450$ m
A
Correct answer
Explanation
Speed = 110m / 3s = 110/3 m/s. Time to pass platform = (110 + L) / Speed = 15s. 110 + L = 15 * (110/3) = 5 * 110 = 550. L = 550 - 110 = 440m.
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$3$ hrs
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$2\displaystyle \frac{3}{4}$ hrs
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$3\displaystyle \frac{1}{2}$ hrs
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$2\displaystyle \frac{1}{4}$ hrs
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$500$ m
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$800$ m
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$300$ m
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$1100$ m
A
Correct answer
Explanation
Speed = 120 km/hr = 120 * 5/18 = 100/3 m/s. Length of train = 100/3 * 9 = 300m. Time to cross platform = (300 + L) / (100/3) = 24. 300 + L = 800. L = 500m.
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$170$ m
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$176$ m
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$164$ m
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$158$ m
B
Correct answer
Explanation
Let L be the length of the train and v be its speed. L = v * 8. Also, L + 264 = v * 20. Substituting L = 8v into the second equation: 8v + 264 = 20v, so 12v = 264, v = 22 m/s. Then L = 22 * 8 = 176 m.
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$85$ km/hr
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$50$ km/hr
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$55$ km/hr
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$25$ km/hr
A
Correct answer
Explanation
Relative speed = (66 + 88) m / (0.168 * 60) s = 154 / 10.08 = 15.27 m/s. 15.27 m/s * 3.6 = 55 km/hr. Since they are in the same direction, V1 - V2 = 55. V1 - 30 = 55 => V1 = 85 km/hr.
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$5$ seconds
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$10$ seconds
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$20$ seconds
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$25$ seconds
D
Correct answer
Explanation
Relative speed = 68 - 50 = 18 kmph = 18 * (5/18) = 5 m/s. Total distance = 50 + 75 = 125 m. Time = 125 / 5 = 25 seconds.
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$200$ km
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$220$ km
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$240$ km
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$280$ km
C
Correct answer
Explanation
Goods train starts at 1 pm, Express at 3 pm. By 3 pm, goods train has traveled 2 hours * 40 km/hr = 80 km. Relative speed = 60 - 40 = 20 km/hr. Time to overtake = 80 km / 20 km/hr = 4 hours. Distance from Delhi = 60 km/hr * 4 hours = 240 km.
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$135$ meters
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$125$ meters
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$115$ meters
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$105$ meters
D
Correct answer
Explanation
Let train length be L and speed be V. L = V * 1.5. Also L = (V - 10) * 1.75. 1.5V = 1.75V - 17.5. 0.25V = 17.5, V = 70 m/s. L = 70 * 1.5 = 105 meters.
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$28$ km/hr
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$27$ km/hr
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$25$ km/hr
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$24$ km/hr
C
Correct answer
Explanation
Let train speed be v and length be L. L = (v-3) * (5/18) * 10 and L = (v-5) * (5/18) * 11. Equating: (v-3)*10 = (v-5)*11. 10v - 30 = 11v - 55, so v = 25 km/hr.