### Quantitative Aptitude

## PROBLEMS ON TRAINS MCQs

### Total Questions : 91

**Page 1 of 5 pages**

**A train 75 m long overtook a person who was walking at the rate of 6 km/hr in the same direction and passed him in $$7\frac{1}{2}$$ seconds. Subsequently, it overtook a second person and passed him in $$6\frac{3}{4}$$ seconds. At what rate was the second person travelling?**

__Question 11.__- 1 km/hr
- 2 km/hr
- 4 km/hr
- 5 km/hr

**Answer: Option B**

**A man standing on a platform finds that a train takes 3 seconds to pass him and another train of the same length moving in the opposite direction takes 4 seconds. The time taken by the trains to pass each other will be :**

__Question 14.__- $$2\frac{3}{7}$$ seconds
- $$3\frac{3}{7}$$ seconds
- $$4\frac{3}{7}$$ seconds
- $$5\frac{3}{7}$$ seconds

**Answer: Option B**

**Two trains, 130 and 110 meters long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of the faster train.**

__Question 15.__- 38 m/sec
- 42 m/sec
- 46 m/sec
- 50 m/sec

**Answer: Option B**

### How Do You Solve A Speed Train Question?

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 x = 50 km/hr.

### How Do You Solve Speed And Time Problems?

Speed, Time & Distance Conversions:

- To convert from km / hour to m / sec, we multiply by 5 / 18.
- To convert from m / sec to km / hour, we multiply by 18 / 5.
- Similarly, 1 km/hr = 5/8 miles/hour.
- 1 yard = 3 feet.
- 1 kilometer= 1000 meters = 0.6214 mile.
- 1 mile= 1.609 kilometer.
- 1 hour= 60 minutes= 60*60 seconds= 3600 seconds.

### How Is Train Problem Calculated?

Speed of Train:

- Length of the train = 150m. Speed of the train = 90 km/hr. = 90 Ã— 5/18 m/sec.
- Length of the train = 340 m. Length of the tunnel = 160m. Therefore, length of the train + length of the tunnel = (340 + 160) m = 500m.
- Speed of the train = 90 km/hr. Speed of the train = 90 Ã— 5/18 m/sec = 25 m/sec.

### What Is Relative Speed In Train Problems?

When two bodies move in the same direction then the Relative Speed = Difference of Speeds i.e for a person a sitting in a train moving with a speed of 60 km/hr in the west direction, another train which is going towards the west with a speed of 40 km/hr, will appear to move at a Speed of (60-40) = 20 km/hr.

### What Is The Difference Between The Speed Of Train A And That Of Train B?

The difference between the speeds of A and B is 10 km/hr. To travel a distance of 600 km, B takes 3 more hours than A. âˆ´ B will take 60 hours.

### What Is The Distance Travelled By The Bee Which Zig Zags Between The 2 Trains Till The Collide?

Once it reaches the second train, it immediately flies back to the first train â€¦ and so on until trains collide. Calculate the total distance travelled by the bee. Speed of bee is 80 km/h. Answer: 66.67 km approx.

### What Is The Formula Of Length Of The Train?

Length of train = Length of platform / Difference in time x Time taken to cross the man. Or, Length of train = 175 meters.

### What Is The Formula Of Train?

Train Speed Formula:

x km/hr = x*(5/18) m/s. Time taken by the train of length/meters to pass a pole or a single post or a standing man is equal to the time taken by the train to cover / meters.

### What Is The Speed Of A Train?

Speed. The average speed of express trains, range from 36 kilometres per hour (22 mph) to 113 kilometres per hour (70 mph). Of this, counting up and down trains separately, 23 trains have an average speed more than 80 km/h, whereas 72 trains have an average speed between 70 and 80 km/h.

### When Two Trains Collide This Is An Example Of Which Collision?

A head-on collision is a traffic collision where the front ends of two vehicles such as cars, trains, ships or planes hit each other when travelling in opposite directions, as opposed to a side collision or rear-end collision.

### How Can I Measure The Distance Of My Train?

The train crosses the pole in 9 seconds. This means that from the point when the engine or the front of the train crosses the pole to the point when the back of the train reaches the pole, we have 9 seconds. Thus we can get the length of the train by calculating the distance that the train travels in 9 seconds.

### How Do You Measure The Speed Of A Train?

Just measure time taken by the train from 1 stone to other using stopwatch. Now divide 360 by the time u got on stopwatch, u'll get speed in km/hr. E.g. If u get 4 sec, then divide 360 by 4. Which is 90 km/hr.

### What Is The Formula Of Relative Speed?

When two bodies move in opposite direction, then the Relative Speed = Sum of Speeds i.e for e.g. for a person sitting in a train moving with a Speed of 40 km/hr in the west direction, another train which is going towards east with a Speed of 40 km/hr, will appear to move at a Speed of (40+40) = 80 km/hr.

### How Can We Calculate Speed Of Train?

Just measure time taken by the train from 1 stone to other using stopwatch. Now divide 360 by the time u got on stopwatch, u'll get speed in km/hr. E.g. If u get 4 sec, then divide 360 by 4. Which is 90 km/hr.

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