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

1.

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.

2.

Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time? 

   A.) 13 Kmph
   B.) 14 Kmph
   C.) 15 Kmph
   D.) 11 Kmph

Answer: Option 'C'

Total distance = 8 Km 
Total time = 50 Km 
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km 
Required speed = 5/1/3 = 15 Kmph

3.

In a covering a certain distance the speed of A and B are in the ratio of 6: 9, A takes 20 min more, than B to reach the destination. The time taken by A to reach the destination is:

   A.) 1 Hour
   B.) 2 Hours
   C.) 1 1/2 Hour
   D.) 1 1/4 Hour

Answer: Option 'A'

Let the speed of A and B are 6x Kmph 
and 9x Kmph respectively, 
Let the total distance to travel = y Km 
y/6x - y/9x = 1/3 
y/x(1/18 = 1/3 
y = 6x 
Required time = 6x/6x = 1 hour 

4.

If a man walks 24 Km at 8 Kmph, he will be late by 25min. if he walks 12 Kmph, how early the fixed time Will he reach? 

   A.) 30 minutes
   B.) 25 minutes
   C.) 40 minutes
   D.) 35 minutes

Answer: Option 'D'

Time taken to cover 24 Km at the speed of 8 Kmph = 24/8 = 3 hours 
Thus, right time was 2 hours 35 mintes 
Now, time taken to cover 20 Km at the speed as 12 Kmph = 2 hours 
Required time = 2 hours 35 minutes - 2 hours 
= 35 minutes

5.

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

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