Problems on Trains Quiz Set 003

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Question 1

A train is running at a speed of 184km/h. If it takes 18sec to move past a telegraph pole, then what is its length?

 A

920 meters.

 B

921 meters.

 C

919 meters.

 D

922 meters.

Soln.
Ans: a

The total distance to be covered is equal to the length of the train. By the time and distance formula, we get length = time × speed × (5/18), which gives $18 × 184 × (5/18)$ = 920m. Please note that 5/18 is the conversion from km/h to m/s.


Question 2

A train running at a speed of 19m/s crosses a pole in 18sec. How long will it take to cross a platform of length 684m?

 A

54 sec.

 B

55 sec.

 C

53 sec.

 D

56 sec.

Soln.
Ans: a

The length of the train can be obtained from the time it takes to cross the pole. The length of the train = $19 × 18$ = 342m. To cross the platform it must travel a total distance equal to the combined lengths of the train and the platform at this speed. So time = ${342 + 684}/19$ = 54 seconds.


Question 3

A train running at a speed of 18m/s crosses a pole in 16sec. How long will it take to cross a platform of length 864m?

 A

64 sec.

 B

65 sec.

 C

63 sec.

 D

66 sec.

Soln.
Ans: a

The length of the train can be obtained from the time it takes to cross the pole. The length of the train = $18 × 16$ = 288m. To cross the platform it must travel a total distance equal to the combined lengths of the train and the platform at this speed. So time = ${288 + 864}/18$ = 64 seconds.


Question 4

A train of length 119 m crosses a bridge at a speed of 45 km/h in 38 seconds. What is the length of the bridge?

 A

6037 meters.

 B

6038 meters.

 C

6036 meters.

 D

6039 meters.

Soln.
Ans: a

In 38 seconds the train covers a distance of 38 × 45 × (18/5) = 6156 meters. This distance is the sum of the lengths of the train and the bridge. Subtracting the length of the train we get the length of the bridge = 6156 - 119 = 6037 meters.


Question 5

A train is running at a speed of 56m/s. If it takes 3sec to move past a telegraph pole, then what is its length?

 A

168 meters.

 B

169 meters.

 C

167 meters.

 D

170 meters.

Soln.
Ans: a

The total distance to be covered is equal to the length of the train. By the time and distance formula, we get length = time × speed, which gives $3 × 56$ = 168m.


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This Blog Post/Article "Problems on Trains Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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