# Maths Aptitude Quiz Questions and Mock Test on Problems on Trains Set 4

## These are aptitude questions on Problems on Trains type of questions. You will need to have a basic understanding of speed and distance. This collection is more than sufficient for giving you practice on this topic. Go through this series if you are preparing for exams like the Bank PO, IBPS Specialist Officers, GATE, SSC, NTSE and similar exams that test your mental ability skills. This is quiz no. 4 in this series.

Last Reviewed and Updated on August 18, 2019
Posted by Parveen(Hoven),
Aptitude Trainer and Software Developer

## Quiz Questions

Each question has four choices. More than one option can be correct. After you have finished the quiz scroll towards the last question to view your result. I have provided solutions and answers to all the questions.

### Question 1

A train of length 96m crosses a pole in 8 sec. How long will it take to cross a platform of length 288 m?

A

32 sec.

B

34 sec.

C

33 sec.

D

31 sec.

Soln.
Ans: A

The speed of the train can be obtained from the time it takes to cross the pole. The speed = \$96/8\$ = 12 m/s. 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 = \${96 + 288}/12\$ = 32seconds.

Question ID: 16-05-13-07-42-00-016.
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### Question 2

A train of length 74m is running at a speed of 61m/s. How long will it take to cross a tunnel of length 48m?

A

4 sec.

B

3 sec.

C

5 sec.

D

2 sec.

Soln.
Ans: D

The total distance to be covered is equal to the length of the train plus the length of the tunnel. By the time and distance formula, we get time = distance/speed, which gives \${74 + 48}/61\$ = 2s.

Question ID: 16-05-13-07-42-00-017.
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### Question 3

Two equally long trains of length 90m cross each other in 6sec. If one train is twice as fast as the other, then what is the speed of the faster train?

A

73 km/h.

B

71 km/h.

C

74 km/h.

D

72 km/h.

Soln.
Ans: D

Let the speeds be v and 2v. The trains cover a distance equal to the sum of their lengths at a relative speed v + 2v = 3v. We can use the speed distance formula: \$3v = {90 + 90}/6\$, which gives v = \${180/{3 × 6}} × (18/5)\$ = 36km/h. So the speed of the faster train is twice = 72km/h.

Question ID: 16-05-13-07-42-00-018.
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### Question 4

Two trains coming from opposite direction and running respectively at 48km/h and 96km/h cross each other in 8sec. What is the length of each train if the two trains are equal?

A

161 m.

B

162 m.

C

159 m.

D

160 m.

Soln.
Ans: D

The trains cover a distance equal to the sum of their lengths at a relative speed 48 + 96 = 144km/h × (5/18), or 40m/s. We can use the speed distance formula: sum of lengths = 40 × 8 = 320m. Halving this we get the length of one train = 160m.

Question ID: 16-05-13-07-42-00-019.
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### Question 5

A train is moving at a speed of 63m/s. It takes 8 seconds to cross a jeep that is travelling in the opposite direction at a speed of 70m/s. What is the length of the train?

A

1064 meters.

B

1063 meters.

C

1065 meters.

D

1066 meters.

Soln.
Ans: A

The distance to be covered is equal to the length of the train. This distance has to be covered at a net relative speed equal to the sums of the speeds of the jeep and the train, so v = 63 + 70 = 133. The length of the train will be time × speed = \$8 × 133\$ = 1064meters.

Question ID: 16-05-13-07-42-00-020.
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