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### Question 1

Two trains coming from opposite direction and running respectively at 60km/h and 120km/h cross each other in 5sec. What is the length of each train if the two trains are equal?

**A**

125 m.

**B**

126 m.

**C**

124 m.

**D**

127 m.

**Soln.**

**Ans: a**

The trains cover a distance equal to the sum of their lengths at a relative speed 60 + 120 = 180km/h × (5/18), or 50m/s. We can use the speed distance formula: sum of lengths = 50 × 5 = 250m. Halving this we get the length of one train = 125m.

### Question 2

A train is moving at a speed of 87m/s. It takes 3 seconds to cross a jeep that is travelling in the opposite direction at a speed of 76m/s. What is the length of the train?

**A**

489 meters.

**B**

490 meters.

**C**

488 meters.

**D**

491 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 = 87 + 76 = 163. The length of the train will be time × speed = $3 × 163$ = 489meters.

### Question 3

A train of length 228m crosses a pole in 19 sec. How long will it take to cross a platform of length 456 m?

**A**

57 sec.

**B**

58 sec.

**C**

56 sec.

**D**

59 sec.

**Soln.**

**Ans: a**

The speed of the train can be obtained from the time it takes to cross the pole. The speed = $228/19$ = 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 = ${228 + 456}/12$ = 57seconds.

### Question 4

A train running at a speed of 17m/s crosses a pole in 13sec. How long will it take to cross a platform of length 1105m?

**A**

78 sec.

**B**

79 sec.

**C**

77 sec.

**D**

80 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 = $17 × 13$ = 221m. 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 = ${221 + 1105}/17$ = 78 seconds.

### Question 5

A train is moving at a speed of 60m/s. It takes 5 seconds to cross a jeep that is travelling in the opposite direction at a speed of 76m/s. What is the length of the train?

**A**

680 meters.

**B**

681 meters.

**C**

679 meters.

**D**

682 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 = 60 + 76 = 136. The length of the train will be time × speed = $5 × 136$ = 680meters.

This Blog Post/Article "Problems on Trains Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-08-12.