Trains(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

TRAINS MCQs

Problems On Trains

Total Questions : 842 | Page 7 of 85 pages

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

Discuss Question

Answer: Option D. -> 10.8
- Relative speed = (60 + 40) km/hr = 100 x 5 m/sec = 250 m/sec. 18 9
Distance covered in crossing each other = (140 + 160) m = 300 m.
Required time = 300 x 9 sec = 54 sec = 10.8 sec. 250 5

Question 62.

A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

Discuss Question

Answer: Option B. -> 6 sec
- Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.
= 66 x 5 m/sec 18 = 55 m/sec. 3 Time taken to pass the man = 110 x 3 sec = 6 sec. 55

Question 63.

A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

Discuss Question

Answer: Option B. -> 3 min
- Total distance covered = 7 + 1 miles 2 4 = 15 miles. 4 Time taken = 15 hrs 4 x 75 = 1 hrs 20 = 1 x 60 min. 20
= 3

Question 64.

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

Discuss Question

Answer: Option C. -> 500
- Speed = 78 x 5 m/sec = 65 m/sec. 18 3
Time = 1 minute = 60 seconds.
Let the length of the tunnel be x metres.
Then, 800 + x = 65 60 3
3(800 + x) = 3900
x = 500

Question 65.

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

Discuss Question

Answer: Option B. -> 350 m
- Speed = 300 m/sec = 50 m/sec. 18 3
Let the length of the platform be x metres.
Then, x + 300 = 50 39 3
3(x + 300) = 1950
x = 350 m

Question 66.

A train speeds past a pole in 15 seconds and a platform 100 m long in 25seconds. Its length is:

Discuss Question

Answer: Option B. -> 150 m
- Let the length of the train be x metres and its speed by y m/sec.
Then, x = 15 y = x . y 15
x + 100 = x 25 15
15(x + 100) = 25x
15x + 1500 = 25x
1500 = 10x
x = 150 m

Question 67.

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

Discuss Question

Answer: Option D. -> 79.2 km/hr
- Let the length of the train be x metres and its speed by y m/sec.
Then, x = 8 x = 8y y Now, x + 264 = y 20
8y + 264 = 20y
y = 22.
Speed = 22 m/sec = 22 x 18 km/hr = 79.2 km/hr. 5

Question 68.

How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

Discuss Question

Answer: Option B. -> 30
- Speed of the train relative to man = (63 - 3) km/hr
= 60 km/hr = 60 x 5 m/sec 18 = 50 m/sec. 3 Time taken to pass the man = 500 x 3 sec 50
= 30 sec.

Question 69.

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

Discuss Question

Answer: Option B. -> 150 metres
- Speed= 60 x 5 m/sec = 50 m/sec. 18 3
Length of the train = (Speed x Time) = 50 x 9 m = 150 m. 3

Question 70.

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

Discuss Question

Answer: Option B. -> 50 km/hr
-   Speed of the train relative to man = 125 m/sec 10
   = 25 m/sec. 2
   = 25 x 18 km/hr 2 5
= 45 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

x - 5 = 45         x = 50 km/hr.