RRB NTPC - Time and Distance :(25) MCQs with Answers

1.

A train 240 m long passed a pole in 24 seconds .How long will it take to pass a platform 650 m long?

   A.) 89 sec
   B.) 99 sec
   C.) 109 sec
   D.) 59 sec

Answer: Option 'A'

89 sec

2.

A train of length 200 m can cross a man, sitting inside another train of length 100 m coming from opposite direction at speed of 25 m/sec, in 5 seconds. Find the speed of first train?

   A.) 40 m/sec
   B.) 20 m/sec
   C.) 10 m/sec
   D.) 35 m/sec

Answer: Option 'D'

Time taken by the train to cross the man = 300/(x+25) = 5 or 'x' = 35 m/sec

3.

A train 100 m long is running at the speed of 30 km/hr.Find the time taken by it to pass a man standing near the railway line:

   A.) 12 sec
   B.) 8 sec
   C.) 14 sec
   D.) 16 sec

Answer: Option 'A'

12 sec

4.

The ratio of the speed of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together?

   A.) 82 km/hr
   B.) 78 km/hr
   C.) 84 km/hr
   D.) 76 km/hr

Answer: Option 'C'

Total speed of car, train, bus = 72 x 3 = 216 km/hr
Total speed of car and train = (216 x 14)/18 = 168 km/hr
Average speed of car and train = 168/2 = 84 km/hr

5.

The length of the bridge , which a train 130 m long and travelling at 45 km/hr can cross in 30 seconds, is:

   A.) 200 m
   B.) 225 m
   C.) 245 m
   D.) 250 m

Answer: Option 'C'

​245 m

6.

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr ,what is the length of the platform? 

   A.) 260 m
   B.) 240 m
   C.) 280 m
   D.) 320 m

Answer: Option 'B'

Given, time taken by train to pass the man = 20 sec
Speed of the train = 54 km/hr
---> Converting into meter/sec
=> Speed of train =54 × (5/18) m/sec = 15 m/sec
W.K.T: Speed of train = Length of train/ Time taken by train to pass the man
=> 15 =Length of train / 20
=>Length of train = 15 × 20
=>Length of train = 300 metre.
Given,A train passes a station platform in 36 seconds.
=>Speed of train = (Length of train + Length of platform) / Time taken by train to pass the platform
=> 15 = (300 +Length of platform) / 36
=> 15 × 36 = (300+Length of platform)
=> 540 =300+Length of platform
=> 540 - 300 =Length of platform
Thus,Length of platform = 240 meter.

7.

A bus started its journey from Ramgarh and reached Devgarh in 44 minutes at its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hour, how much time will it take to cover the same distance?

   A.) 40 minutes
   B.) 38 minutes
   C.) 36 minutes
   D.) 31 minutes

Answer: Option 'A'

Distance = (44/60) x 50 = (x/60) x 55 
x = 40 minutes

8.

How much time does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length?

   A.) 12.42 seconds
   B.) 13.1 seconds
   C.) 12.1 seconds
   D.) 15.1 seconds

Answer: Option 'C'

Given, Length of train = 110 meter
Speed of train = 72 km/hr
Length of bridge = 132 metre
---> Converting Speed from km/hr into m/sec
=>Speed of train = 72 × (5/18) m/sec
= 4 × 5
20 m/sec
Formula:-Time taken by train to cross the bridge = (Length of the train + Length of the bridge) /Speed of train
= (110 + 132) / 20
= 242/ 20
= 12.1 sec
Thus,Time taken by train to cross the bridge =12.1 seconds

9.

I walk a certain distance and ride the car back taking a total time of 33 Minutes. I could walk both sides in 45 min. How long would it take me to ride both ways? 

   A.) 19 Minutes
   B.) 20 Minutes
   C.) 21 Minutes
   D.) 22 Minutes

Answer: Option 'C'

Time taken in walking a certaind distance 
from X and Y = 22 1/2 Min 
Time taken in riding the same distance 
= 33 - 22 1/2 = 10 1/2 Min 
it will take 21 Min to ride both ways 

10.

The 200-metre train crosses a platform double its length in 36seconds. What is the speed of the train in km/hr?

   A.) 60
   B.) 48
   C.) 64
   D.) 66

Answer: Option 'A'

Speed of the train = (200 + 400)m/36 sec = 600/36 m/sec
= (600*18)/(36*5) km/h 
= 60 km/h

11.

Train A crosses a pole in 20 seconds and Train B crosses the same pole in one minute. The length of Train A is half of the length of Train B. what is the ratio of the speed of Train A to that of Train B?

   A.) 3 : 2
   B.) 3 : 4
   C.) 4 : 3
   D.) 3 : 1

Answer: Option 'A'

Let the length of Train B be 2x and that of Train A be X.
Speed of Train A = x/20
Speed of Train B = 2x/60 = x/30 
Ratio = Speed A/Speed B = X × 30/X * 20 = 3/2

12.

A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? 

   A.) 6o Kmph
   B.) 62 Kmph
   C.) 75 Kmph
   D.) 77 Kmph

Answer: Option 'A'

Time = 6 
Distence = 540 
3/2 of 6 hours = 6 × 3/2 = 9 Hours 
Required speed = 540/9 = 60 Kmph 

13.

A man starts at 3 pm with the speed of 50 Kmph. Another man follows him at 4 pm with the speed Of 75 Kmph. When will they meet? 

   A.) 5 pm
   B.) 6 pm
   C.) 7 pm
   D.) 6.30 pm

Answer: Option 'B'

14.

A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel is:

   A.) 540 m
   B.) 500 m
   C.) 450 m
   D.) 350 m

Answer: Option 'B'

Given, Length of the train = 800 m
Speed of the train = 78 km/hr (convert km/hr to m/sec)
= 78 × (5/18) m /sec
= 21.667 m /sec
=> Speed of the train = 21.667 m /sec
Time taken by the train to cross the tunnel = 1 min = 60 sec

To find the length of the tunnel:
Time taken by train to cross tunnel = (Length of tunnel + Length of train) / speed of the train
=> 60 = (Length of tunnel + 800) / 21.667
=> 60 × 21.667 = Length of tunnel + 800
=> 1300 = Length of tunnel + 800
=> 1300 – 800 = Length of tunnel
=> 500 = Length of tunnel
Thus, the Length of tunnel = 500 m

15.

A motorist travels for 6 hours, the first half at 60 Kmph and the rest at 48 Kmph. Find the distance Traveled by him. 

   A.) 324 Km
   B.) 320 Km
   C.) 300 Km
   D.) 340 Km

Answer: Option 'A'

Distance = 3 × 60 + 3 × 48 
= 180 + 144 
= 324 Km 

16.

A train running at the speed of 60 km/hr crosses a pole in 9 seconds .What is the length of the train?

   A.) 120 m
   B.) 324 m
   C.) 150 m
   D.) 200 m

Answer: Option 'C'

150 m

17.

The average speed of a train is 1(3⁄7) the average speed of a car. The car covers a distance of 588 km in 6 hours. How much distance will the train cover in 13 hours?

   A.) 1750km
   B.) 1760km
   C.) 1720km
   D.) 1820 km

Answer: Option 'D'

Speed of the car = 588/6 = 98 km/hr 
Speed of train = (10/7) x 98 = 140 km/hr
Distance covered by the train in 13 hours = 140 x 13 = 1820 km
 

18.

A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds .What is the length of the goods train?

   A.) 270 m
   B.) 250 m
   C.) 230 m
   D.) 130 m

Answer: Option 'A'

270 m

19.

A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km? 

   A.) 79.2 Kmph
   B.) 79.3 Kmph
   C.) 77.25 Kmph
   D.) 78.5 Kmph

Answer: Option 'A'

Formula = 2 × F.S*S.P/F.S+S.P 
= 2 × 72 × 88/88+72 
= 79.2 Kmph

20.

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

   A.) 76 km/hr
   B.) 79.2 km/hr
   C.) 69.5 km/hr
   D.) 68.5 km/hr

Answer: Option 'B'

79.2 km/hr


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