This set of Aptitude Questions and Answers (MCQs) focuses on “Two Trains”.
1. Two trains cross each other at a speed of 50 kmph and 55 kmph, respectively. If the total length of both the trains is 1200m, find the time in which they crossed each other. The trains were moving in the same direction.
a) 24 minutes
b) 14.4 minutes
c) 24 seconds
d) 14.4 seconds
View Answer
Explanation: The trains moving in the same direction: The relative speed = 55 – 50 = 5 kmph
The distance to be covered = 1200 m = 1.2km
The time taken = 1.2 / 5 = 0.24 hours = 14.4 minutes.
2. Two trains cross each other at a speed of 50 kmph and 55 kmph, respectively. If the total length of both the trains is 1200m, find the time in which they crossed each other. The trains were moving in the opposite direction.
a) 31.13 seconds
b) 41.14 seconds
c) 42.24 seconds
d) 23.32 seconds
View Answer
Explanation: The relative speed = 55 + 50 = 105 kmph
The total distance = 1.2 km
The time taken = 1.2 / 105 = 0.0114 hours = 41.14 seconds.
3. Two trains cross each other at a speed of 30kmph and 45 kmph, respectively. If they are moving in the same direction, find the length of both the trains combined. The time taken = 12 seconds.
a) 49.92 m
b) 94.29 m
c) 24.92 m
d) 24.29 m
View Answer
Explanation: The total distance travelled = speed * time
The relative speed = 45 – 30 = 15 kmph = 4.16 m / s
The total distance = 12 * 4.16 = 49.92 m.
4. Two trains cross each other at a speed of 30kmph and 45 kmph, respectively. If they are moving in the opposite direction, find the length of both the trains combined. The time taken = 12 seconds.
a) 0.25 km
b) 0.33 km
c) 0.30 km
d) 0.32 km
View Answer
Explanation: The relative speed = 30 + 45 = 75 kmph = 20.83 m / s
The distance covered = 12 * 20.83 = 249.96 m = 0.25 km.
5. Two trains cross each other at a speed of 40 kmph and 60 kmph, respectively. Find the combined distance of both the trains if the time taken is 20 seconds and the trains move in the same direction.
a) 111 m
b) 222 m
c) 333 m
d) 444 m
View Answer
Explanation: The relative speed = 60 – 40 = 20 kmph = 5.55 m / s
The total distance covered = 20 * 5.55 = 111 m.
6. Two trains cross each other at a speed of 40 kmph and 60 kmph, respectively. Find the combined distance of both the trains if the time taken is 20 seconds and the trains move in the opposite direction.
a) 111 m
b) 333 m
c) 555 m
d) 777 m
View Answer
Explanation: The relative speed = 40 + 60 = 100 kmph = 27.77 m / s
The total distance covered = 27.77 * 20 = 555.4 m.
7. Two trains cross each other in 23 seconds. Find the length of both the trains combined if the speeds of the trains are 56 kmph and 76 kmph, respectively. The trains were moving in the same direction.
a) 126.57 m
b) 127.65 m
c) 127.56 m
d) 126.75 m
View Answer
Explanation: The relative speed = 76 – 56 = 20 kmph = 5.55 m / s
The total distance covered = 5.55 * 23 = 127.65 m.
8. Two trains cross each other in 23 seconds. Find the length of both the trains combined if the speeds of the trains are 56 kmph and 76 kmph, respectively. The trains were moving in the opposite direction.
a) 843 m
b) 813 m
c) 873 m
d) 853 m
View Answer
Explanation: The relative speed = 56 + 76 = 132 kmph = 36.66 m / s
The total distance covered = 36.66 * 23 = 843.18 m.
9. 2 trains cross each other in 78 seconds. The speeds of the trains are 89 kmph and 69 kmph, respectively. Find the combined length of both the trains. The trains are moving in the same direction.
a) 424 m
b) 434 m
c) 433 m
d) 454 m
View Answer
Explanation: The relative speed = 89 – 68 = 20 kmph = 5.55 m / s
The total distance covered = 5.55 * 78 = 432.9 m ≈ 433 m.
10. 2 trains cross each other in 28 seconds. If the speeds of the trains are 89 kmph and 69 kmph, respectively. Find the combined length of both the trains. The trains are moving in the opposite direction.
a) 1.23 km
b) 1.22 km
c) 1.21 km
d) 1.20 km
View Answer
Explanation: The relative speed = 89 + 69 = 158 kmph = 43.88 m / s
The total distance covered = 43.88 * 28 = 1228.64 m ≈ 1.23 km.
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