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- Question
- A train takes 24 sec to cross a 480 m platform and 36 sec to cover a 900 m platform. what is the length of the train?
Options- A. 360 m
- B. 400 m
- C. 390 m
- D. 430 m
- Correct Answer
- 360 m
ExplanationLet the length of the train be x meter and its speed be y m/sec
Then, (x + 480 m) / 24 sec = y ....(i)
and , (x + 720 m) / 36 sec = y ....(ii)
From Eqs (i) and (ii)
(x + 480) / 24 = (x + 900) / 36
? 3x + 1440 = 2x + 1800
? Length of train, x= 360m - 1. The length of train is equal to the length of the platform. Suppose the train is running at a speed of 72 km/hr and it crosses a platform in 2 minutes. What is then the length of the train?
Options- A. 620 m
- B. 500 m
- C. 550 m
- D. 600 m Discuss
- 2. A passenger train running at a speed of 72 km/hr crosses a 400m long platform in 30 sec. What is the length of the train?
Options- A. 200 m
- B. 150 m
- C. 180 m
- D. 240 m Discuss
- 3. A train which 360m long takes 36 sec to cross a telegraph pole. How long will it take to cross a 600m long platform?
Options- A. 60 sec
- B. 45 sec
- C. 66 sec
- D. 50 sec Discuss
- 4. A train 200 m long is running at a speed of 36 km/hr. It crosses a bridge in 30 sec. What is the length of the bridge?
Options- A. 150m
- B. 200m
- C. 125m
- D. 100m Discuss
- 5. A train which is 264 meter long passes a pole in 12 sec. Find out the speed of train?
Options- A. 80 km/hr
- B. 80.6 km/hr
- C. 82.2 km/hr
- D. 79.2 km/hr Discuss
- 6. A 200 m long rain is running at a speed of 54 km/hr. On the parallel and a different track, another train 300 m long is running at a speed of 72 km/hr. Both the trains are running in the same direction. Find out how much will it take the train to cross each other?
Options- A. 90 sec
- B. 100 sec
- C. 120 sec
- D. 150 sec Discuss
- 7. A train 400 m long is running at a speed of 54 km/hr. If it crosses a tunnel in 2 minutes. Then what is the length of tunnel?
Options- A. 1200 m
- B. 1400 m
- C. 1600 m
- D. 1800 m Discuss
- 8. A and B are two stations, a train goes from A to B at 64 km/hr. and return to A at a slower speed. If its average speed for the whole journey is 56 km/hr. at what speed did it return?
Options- A. 48 km/hr.
- B. 49.77 km/hr.
- C. 52 km/hr.
- D. 47.46 km/hr. Discuss
- 9. A train 270 metres 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?
Options- A. 36 seconds
- B. 32 seconds
- C. 28 seconds
- D. 24 seconds Discuss
- 10. A train 300 meters long passes a standing man is 15 seconds. The speed of the train is?
Options- A. 40 km/hr
- B. 50 km/hr
- C. 60 km/hr
- D. 72 km/hr Discuss
Problems on Trains
Search Results
Correct Answer: 600 m
Explanation:
Speed in m/sec = 36km/hr x (5/18) = 10 m/sec
Given, Time taken by train to cross the platform = 2 min = 120 sec
Therefore, the distance covered by train in crossing the platform = 10 m/sec x 120 sec = 1200 m
Now, distance covered by train in crossing the platform = Length of train + Length of Platform
Given, Length of train = Length of Platform = x
Therefore, 2x = 1200
so, x = Length of train = 1200/2 = 600 m
Correct Answer: 200 m
Explanation:
Speed of train in m/sec = 72 km/hr x 5/18 = 20 m/sec
Distance covered in meter = Time taken in crossing the platform in sec x speed in meter = 30 sec x 20 m/sec = 600m
Now, we know , Distance covered by train in crossing the platform = Length of train + Length of Platform
Therefore, length of the train = 600m - 400m = 200m
Correct Answer: 60 sec
Explanation:
Speed of train in m/sec = 360m / 36 sec = 10 m/sec
Distance covered by train in crossing the platform = Length of train + Length of Platform = 360m + 240m = 600m
Therefore, Time taken to cover this distance = 600m /(10 m/sec)
= 60 sec
Correct Answer: 100m
Explanation:
Speed in m/sec = 36 km/hr x 5/18 = 10m/sec
Distance covered by train in crossing the bridge = Speed of train in m/sec x time in sec = 10 m/sec x 30 sec = 300 m
Now, we know that
Distance covered by train in crossing the bridge= Length of train + Length of bridge
Therefore, Length of bridge = 300m - 200m = 100m
Correct Answer: 79.2 km/hr
Explanation:
Length of train = 264 m
Time taken to cross the pole = 12 sec
Speed of the train, in m/sec = Length of the train/ Time taken to cross the pole
Therefore, speed in m/sec= (264 / 12) m/sec = 22 m /sec
Calculating speed in km/ hour = (22 m/sec ) x 18/5 = 396/5 km/hr = 79.2 km/ hour
Correct Answer: 100 sec
Explanation:
We know that, when the trains are moving in the same direction,
Relative speed= Difference between the speed of train
and total distance for crossing each other = Sum of the length of train
Therefore, Relative speed = 72 km/hr - 54 km /hr = 18 km/hr
Relative speed in m/sec = 18 km/hr x 5/18 = 5 m/sec
and Total distance = 200m + 300m = 500m
and Total time taken to cross each other = Total distance in meter/ Relative speed in m/sec
= 500 m / (5 m/sec) = 100 sec
Correct Answer: 1400 m
Explanation:
Speed of train in m/sec = (speed of train in km/hr) x 5/18
? speed of train in m/sec = 54 x 5/18 = 15 m/sec
Time taken to cross the tunnel = 2 minutes = 120 sec
Therefore, Total length covered by train in crossing the tunnel = Speed of train x Time taken to cross the tunnel
= 15 m/sec x 120 sec = 1800 m
Now, we know that
Total length covered by train in crossing the tunnel = Length of train + Length of tunnel
Given, Length of train =400m and
Calculated above, Length covered by train in crossing the tunnel = 1800 m
Therefore, Length of tunnel = 1800m- 400m = 1400m
Correct Answer: 49.77 km/hr.
Explanation:
Let the required speed be y km/hr.
Then, ( 2 x 64 ) x [ y / (64 + y)] = 56
? 128y = 64 x 56 + 56y
? y= (64 x 56 ) / 72
= 49.77 km/hr.
Correct Answer: 32 seconds
Explanation:
Relative speed = (25 + 2) = 27 km/hr = 27 x (5/18) m/sec. = 15/2 m/sec.
Time taken by the train to pass the men. = 270 / (15/2) = 36 sec.
Correct Answer: 72 km/hr
Explanation:
? Speed = Distance / Time = (300/15)
= 20 m/sec
= (20 x 18) / 5 = 72 km/hr
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