## Practice Problems on Trains – Set 2

Practice Problems on Trains – Set 2
1. If a train 280 metre long runs at the speed of 7.4 m/second, how much time will it take to cross a platform 460 metre long ?
a) 95 sec.
b) 96 sec.
c) 98 sec.
d) 99 sec.
e) 100 sec.
Explanation:
Total distance to be covered = 280 + 460 = 740 metre
Therefore, Time taken = 740 / 7.4 = 100 second

2. A train running at the speed of 108 kmph, crosses a 365 metre long platform in 21 seconds. What is the length of the train ?
a) 260 metres
b) 275 metres
c) 265 metres
d) 285 metres
e) None of these
Explanation:
Speed of train = 108 kmph = [108 × (5/18)] m/ second = 30 m/ second
If the length of train be x metre, then
Speed of train = length of train and platform / time taken à 30 = (x+365) / 21
30 × 21 = x+365 => 630 = x+365
x = 630 – 365 = 265 metre

3. A 380 metre long train crosses a platform in 23 seconds. What is the speed of train ?
a) 146 kmph
b) 46 kmph
c) 49 kmph
d) Cannot be determined
e) None of these
Explanation:
Speed of train = length of train and platform / time taken in crossing
Here, the length of platform is not given. Hence cannot be determined.

4. A 500 m long goods train crosses a platform in 36 seconds. If the length of the platform is 220 m then what is the speed of the goods train in km/hr ?
a) 60
b) 72
c) 80
d) 85
e) None of these
Explanation:
Speed of goods train
= length of (platform + goods train) / time taken in crossing = (220 + 500) / 36 m/sec
= 20 m/ sec = (20 × 18) / 5 kmph
= 72 kmph

5. Two trains of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/hr . The faster train passes, the slower train in 36 sec. the length of each train is :
a) 50m
b) 80m
c) 72m
d) 82m
e) None f these
Explanation:
Let the length of each train be x metre. Relative speed = (46 – 36) kmph = 10 kmph
=( (10 × 5)/18) m /sec = (25/9) m /sec
Now (x + x) / (25 / 9) = 36 => (25/9) × 36 = 2x
2x = 100 => x = 50 metre

6. The length of a train and a platform is equal. The train at the speed of 90km/hr crosses the platform in 1 minute. What is the length of platform ?
a) 750m
b) 690m
c) 760m
d) 810m
e) None of these
Explanation:
Let the length f platform be x metre. Speed = 90 kmph
= [(90 × 5)/18 ] m/ sec = 25 m / sec
Time = 1 minute = 60 seconds
Therefore, 2x / 25 = 60 => 2x = 25 × 60
x = (25 × 60) / 2 = 750metre

7. Train A crosses a pole and platform in 18 seconds and 39 seconds respectively. The length of platform is 157.5 metre. What will be the length of train B if it is equal to the sum of half of the length of train A and twice the length of the platform ?
a) 382.5 metre
b) 328.5 metre
c) 238.5 metre
d) 315 metre
e) None of these
Explanation:
Length of train A = x metre
Speed of the train
Therefore, x/18 = (x + 157.5) / 39 => 13x = 6x + 157.5 × 6
7x = 945 => x = 945 / 7 = 135 metre
Therefore, Length of train B =[ (135/2) + 2 × 157.5] metre
= (67.5 + 315) metre = 382.5 metre

8. A 222 metre long train crosses a pole in 6 seconds. The same train crosses a man running in the same direction in 10 seconds. What will be the speed of man ?
a) 15 m/ sec
b) 17 m / sec
c) 18 m / sec
d) 14 m / sec
e) None of these
Explanation:
Speed of train = 222 / 6 = 37 m /sec
If the speed of man be x m / sec, then 220 / (37 -x) = 10
220 = 370 – 10x => 10x = 370 – 220 = 150
X = 15 m /sec

9. Trains leave a station A for another station B after a gap of every one hour. While trains leave station B for the station A also after a gap of every one hour. Each train takes 4 hours to complete the journey. Trains leave the stations A and B simultaneously after an interval of every one hour. If a person starts from the station A for the station B, how many trains will he cross before arriving at the station B ?
a) 4
b) 5
c) 7
d) 8
e) None of these
Explanation:
If the person starts at 7am from A, he will cross the trains starting from B at 4am, 5am, 6am, 7am, 8am, 9am, 10am.

10. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B. 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
a) 100 km / h
b) 110 km / h
c) 120 km / h
d) 130 km / h
e) None of these