4
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 two trains leave Varanasi for Lucknow at 11:00 a.m. and at 11:30 a.m., respectively and travel at a speed of 110 km/h and 140 km/h, respectively. How many kilometers from Varanasi will both trains meet?

 

A) 255 1/3 km B) 238 2/3 km
C) 246 1/3 km D) 256 2/3 km
 
Answer & Explanation Answer: D) 256 2/3 km

Explanation:
Report Error

View Answer Report Error Discuss

0 120
Q:

The speed of a train is 72 km/hr and its length is 200 meters. What will be the time (in minutes) taken by the train to cross a pole?

 

A) 1/6 B) 3/5
C) 5 D) 10
 
Answer & Explanation Answer: A) 1/6

Explanation:
Report Error

View Answer Report Error Discuss

0 190
Q:

Two stations L and M are 180 km apart from each other. A train leaves from L to M and simultaneously another train leaves from M to L. Both trains meet after 9 hours. If the speed of the first train is 10 km/hr more than the second train, then what is the speed (in km/hr) of the slower train?

 

A) 9 B) 5
C) 12 D) 15
 
Answer & Explanation Answer: B) 5

Explanation:
Report Error

View Answer Report Error Discuss

0 200
Q:

X and Y are two stations which are 280 km apart. A train starts at a certain time from X and travels towards Y at 60 km/h. After 2 hours, another train starts from Y and travels towards X at 20 km/h. After how many hours does the train leaving from X meets the train which left from Y?

 

A) 2 hours B) 6 hours
C) 3 hours D) 4 hours
 
Answer & Explanation Answer: D) 4 hours

Explanation:
Report Error

View Answer Report Error Discuss

1 173
Q:

A train travelling at constant speed crosses two persons walking in the same direction in 8 seconds and 8.4 seconds respectively. The first person was walking at the speed of 4.5 km/hr while the second was walking at the speed of 6 km/hr. What was the speed of the train in km/hr?

 

A) 42 B) 40
C) 32 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
Report Error

View Answer Report Error Discuss

0 228
Q:

Train X travelling at 60 km/h overtakes another train Y, 225 m long, and completely passes it in 72 seconds. If the trains had been going in opposite directions, they would have passed each other in 18 seconds. The length (in m) of X and the speed (in km/h) of Y are, respectively:

 

 

A) 245 and 54 B) 255 and 40
C) 255 and 36 D) 245 and 45
 
Answer & Explanation Answer: C) 255 and 36

Explanation:
Report Error

View Answer Report Error Discuss

0 281
Q:

A train moving with a uniform speed covers 338 m in 50 s. What is its speed?

A) 5.76 m/s B) 7.76 m/s
C) 6.76 m/s D) 4.76 m/s
 
Answer & Explanation Answer: C) 6.76 m/s

Explanation:
Report Error

View Answer Report Error Discuss

0 287
Q:

A train travelling at constant speed crosses two persons walking in the same direction in 4 seconds and 4.2 seconds, respectively. The first person was walking at the speed of 4.5 kmph while the second was walking at the speed of 6 kmph. What was the speed of the train in kmph?

A) 42 B) 36
C) 40 D) 32
 
Answer & Explanation Answer: B) 36

Explanation:
Report Error

View Answer Report Error Discuss

1 252