# Maths Aptitude Quiz Questions and Mock Test on Problems on Trains Set 12

## 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. 12 in this series.

Last Reviewed and Updated on January 14, 2020

## 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 228m crosses a pole in 12 sec. How long will it take to cross a platform of length 1596 m?

A

98 sec.

B

96 sec.

C

95 sec.

D

97 sec.

Soln.
Ans: B

The speed of the train can be obtained from the time it takes to cross the pole. The speed = \$228/12\$ = 19 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 = \${228 + 1596}/19\$ = 96seconds.

Question ID: 16-05-13-07-42-00-056.
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### Question 2

A train of length 107m is running at a speed of 38m/s. How long will it take to cross a tunnel of length 45m?

A

5 sec.

B

4 sec.

C

3 sec.

D

6 sec.

Soln.
Ans: B

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 \${107 + 45}/38\$ = 4s.

Question ID: 16-05-13-07-42-00-057.
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### Question 3

Two equally long trains of length 330m cross each other in 11sec. If one train is twice as fast as the other, then what is the speed of the faster train?

A

146 km/h.

B

145 km/h.

C

144 km/h.

D

143 km/h.

Soln.
Ans: C

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 = {330 + 330}/11\$, which gives v = \${660/{3 × 11}} × (18/5)\$ = 72km/h. So the speed of the faster train is twice = 144km/h.

Question ID: 16-05-13-07-42-00-058.
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### Question 4

Two trains coming from opposite direction and running respectively at 36km/h and 72km/h cross each other in 10sec. What is the length of each train if the two trains are equal?

A

150 m.

B

152 m.

C

151 m.

D

149 m.

Soln.
Ans: A

The trains cover a distance equal to the sum of their lengths at a relative speed 36 + 72 = 108km/h × (5/18), or 30m/s. We can use the speed distance formula: sum of lengths = 30 × 10 = 300m. Halving this we get the length of one train = 150m.

Question ID: 16-05-13-07-42-00-059.
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### Question 5

A train is moving at a speed of 70m/s. It takes 2 seconds to cross a jeep that is travelling in the opposite direction at a speed of 31m/s. What is the length of the train?

A

202 meters.

B

203 meters.

C

204 meters.

D

201 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 = 70 + 31 = 101. The length of the train will be time × speed = \$2 × 101\$ = 202meters.

Question ID: 16-05-13-07-42-00-060.
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