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

21.

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

22.

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

23.

A train covers a distance of 12 km in 10 minutes .If it takes 6 seconds to pass a telegraph post,then the length of the train is:

   A.) 120 m
   B.) 140 m
   C.) 200 m
   D.) 100 m

Answer: Option 'A'

120 m

24.

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
 

25.

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 

26.

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

27.

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

28.

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 

29.

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

30.

A train speeds past pole in 15 seconds and a platform 100 m long in 25 seconds ,its length is:

   A.) 150 m
   B.) 100 m
   C.) 200 m
   D.) 50 m

Answer: Option 'A'

150 m

31.

Mohit traveled 20% of the time walking at a speed of 10 km/hr, 50% of the time in a bus at 40 km/hr and rest of the journey in a cab at 50 km/hr. What is the average speed of Mohit over the entire journey?

   A.) 37 km/hr
   B.) 25.97 km/hr
   C.) 42 km/hr
   D.) 40 km/hr

Answer: Option 'A'

Let the total time Mohit takes to complete the entire journey be t hours 
Mohit spent 20%, 50% and the remaining 30% of the time walking in the bus and in the cab respectively.
Thus, time spent walking, in the bus and in the cab are 0.2 t, 0.5 t and 0.3 t respectively.
So Average speed = Total distance covered/Total Time taken = 10(0.2 t0 + 40(0.5 t) + 50(0.3 t)/t = 37 km/hr

32.

How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? 

   A.) 30
   B.) 25
   C.) 40
   D.) 45

Answer: Option 'A'

Given, Length of the train = 500 m
Speed of the man = 3 km/hr
Speed of the train = 63 km/hr
Time taken by the train to cross a man = Length of the train / (speed of the train – speed of the man)
=> Time = 500 m / (63 – 3) km/hr
=> Time = 500 m / 60 km/hr
(to convert 60 km/hr to m/sec)
=> Time = 500 m / [60 × (5/18) m/sec]
=> Time = {500 / [60 × (5/18)]} sec
=> Time = {(500 × 18) / (60 * 5)} sec
=> Time = 30 sec

33.

A thief is noticed by a policeman from a distance of 300 Metres. The thief starts running and policeman chases him. The thief and the policeman run at the rate of 9 Kmph and 12 Kmph respectively. What is the difference between them after 3 Minutes? 

   A.) 130 Metres
   B.) 125 Metres
   C.) 143 Metres
   D.) 150 Metres

Answer: Option 'D'

Speed of police man = 12 Kmph 
and speed of thief = 9 Kmph 
their relation speed = (12 - 9) = 3 Kmph 
Distance travelled in 1/20 Hour 
Thus, the distance between them = 150 Metres. 

34.

A train 110 m long is running with speed of 60 km/hr .In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?

   A.) 10 sec
   B.) 5 sec
   C.) 6 sec
   D.) 7 sec

Answer: Option 'C'

Relative speed = Train speed + Man Speed = 60 + 6 = 66 kmph = 18 1/3 m /sec
Distance to be covered = 110 meter
Time taken = Speed / Distance = 110 / (18 1/3) = (110 / 55) x 3 = 2 x 3 = 6 sec

35.

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? 

   A.) 40 seconds
   B.) 45 seconds
   C.) 42 seconds
   D.) 48 seconds

Answer: Option 'A'

Given, Length of train =360 m
Length of bridge =140 m
Speed of train = 45 km/hr ---> Converting into meter/ second
= 45 × (5/18) m / sec
= 12.5 m/sec
=>Speed of train = 12.5 m/sec
Required Time =(Length of train +Length of bridge) /Speed of train
= (360 + 140) / 12.5
= 500 / 12.5
= 40 sec
=>Required Time =40 sec


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