5
Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?
     

A) 42 kmph B) 43 kmph
C) 40 kmph D) 45 kmph

Answer:   C) 40 kmph



Explanation:

We know that,  Speed = Distance/time

 

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

 

For the same journey if the speed increased 10 kmph more it will take 1 hour less

 


Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

Q:

The ratio between the speeds of two trains is 2 : 5. If the first train covers 350 km in 5 hours, then the speed (in km/h) of the second train is:

 

A) 180 B) 175
C) 165 D) 150
 
Answer & Explanation Answer: B) 175

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4 328
Q:

A train of length 350 m crosses a bridge of length 250 m in 20 seconds. What is the speed of the train (in km/h)?

 

A) 88 B) 72
C) 108 D) 95
 
Answer & Explanation Answer: C) 108

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2 682
Q:

The distance between the two railway stations is 1176 km. To cover this distance, an express train takes 5 hours less than a passenger train while the average speed of the passenger train is 70 km/h less than that of the express train. The time taken by the passenger train to complete the travel is:

 

A) 12 hours B) 23 hours
C) 17 hours D) 18 hours
 
Answer & Explanation Answer: A) 12 hours

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3 657
Q:

A train travels the distance between stations P and Q at a speed of 126 km/h, while in the opposite direction it comes back at 90 km/h. Another train travels the same distance at the average speed of the first train. The time taken by the second train to travel 525 km is:

 

A) 4 hours 20 min B) 5 hours 20 min
C) 5 hours D) 4 hours
 
Answer & Explanation Answer: C) 5 hours

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2 577
Q:

A train, 150 m long is running at 90 km/h. How long (in seconds) will it take to clear a platform that is 300 m long?

 

A) 6 B) 12
C) 50 D) 18
 
Answer & Explanation Answer: D) 18

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1 537
Q:

A train without stop page travels with an average speed of 70km/h, and with stoppage, it travels with the average speed of 56km/h. How many minutes, does the train stop on an average per hour?

 

A) 12 B) 14
C) 16 D) 15
 
Answer & Explanation Answer: A) 12

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3 654
Q:

Train ‘A’ runs at a speed of 80 kmph and leaves station ‘X’ at 11.00 a.m. Train ‘B’ leaves station ‘X’ at 11.15 a.m.in the same direction, on the same day . At what speed train ‘B’ should run in order to catch train ‘A’ at station ‘Y’ located at a distance of 60 km?

 

A) 120 km/h B) 125 km/h
C) 115 km/h D) 110 km/h
 
Answer & Explanation Answer: A) 120 km/h

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4 518
Q:

A train without stoppage travels with an average speed of 50 km/h, and with stoppage, it travels with an average speed of 40 km/h. For how many minutes does the train stop on an average per hour ?

 

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

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1 595