Problems on Trains - Quiz

Q: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?

A. 230 m
B. 240 m
C. 260 m
D. 320 m

Correct Option: A
Explanation:

Relative speed = 120 + 80 = 200 km/hr.

= 200 * 5/18 = 500/9 m/sec.

Let the length of the other train be x m.

Then, (x + 270)/9 = 500/9 => x = 230.

Q: A train 280 meters long is moving at speed of 60 km/hr. The time taken by the train to cross a platform 220 meters long is:

A. 20 Seconds
B. 25 Seconds
C. 30 Seconds
D. 35 Seconds

Correct Option: C
Explanation:

Speed of the train = (60 × 5/18) m/sec = (50/3) m/sec.

Time taken by the train to cross the platform

=Time taken by it to cover (280+220)m

=(500 × 3/50) sec = 30 sec.

Q: A train 270 meters long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in:

A. 36 Seconds
B. 32 Seconds
C. 28 Seconds
D. 24 Seconds

Correct Option: A
Explanation:

Relative speed = (25+2) km/hr

= 27 km/hr

= (27 x 5/18) m/sec

= (15/2) m/sec.

Time taken by the train to pass the man.

= (270 × 2/15) Sec = 36 Sec.

Q: 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. Data inadequate

Correct Option: B
Explanation: The answer is 150 m

Q: A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

A. 89 sec
B. 65 sec
C. 100 sec
D. 150 sec

Correct Option: A
Explanation: Option A

Q: Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A. 36
B. 45
C. 48
D. 49

Correct Option: C
Explanation: Option C

Q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?

A. 15 sec
B. 16 sec
C. 18 sec
D. 20 sec

Correct Option: B
Explanation:

Speed = 63 * 5/18 = 35/2 m/sec

Time taken = 280 * 2/35 = 16 sec

Q: Two goods train every 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?

A. 12 sec
B. 24 sec
C. 48 sec
D. 60 sec

Correct Option: C
Explanation:

Relative speed = 45 + 30 = 75 km/hr.

75 * 5/18 = 125/6 m/sec.

Distance covered = 500 + 500 = 1000 m.

Required time = 1000 * 6/125 = 48 sec.

Q: A train 100 meters long moving at a speed of 50 kmph crosses a train 120 meters long coming from opposite direction in 6 seconds. The speed of second train is:

A. 132 kmph
B. 82 kmph
C. 60 kmph
D. 50 kmph

Correct Option: B
Explanation:

Speed of the second train be x km/hr.

Relative speed = (50 + x) km/hr

= [(50 + x) × 5/18] m/sec

= (250+5x│18) m/sec 220 × 18

= 6 (250 + 5 x)

The speed of the second train = 82 km/hr.

Q: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A. 250 m
B. 245 m
C. 225 m
D. 200 m

Correct Option: B
Explanation: speed = (length of train + length of bridge) / time