37
Q:

A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?

A) 3560 sec B) 3600 sec
C) 3576 sec D) can't be determined

Answer:   C) 3576 sec



Explanation:

Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then 

       LR-A=36 ---------- (i) 

and LR+K=24 ---------(ii)

 

From eq.(i) and (ii)

              3(R - A ) = 2 (R + K) 

  R = 3A + 2K 

 

In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram

               = 1800 ( R - A) - 24 ( A + K)

 

 Time required = 1800(R-A)-24(A+K)(A+K)

 

= (3600 - 24) = 3576 s                            

Q:

Two cyclists X and Y start at the same time from place A and go towards place B at a speed of 6 km/h and 8 km/h,respectively. Despite stopping for 15 minutes during the journey, Y reaches 10 minutes earlier than X. The distance between the places A and B is:

 

A) 6 km B) 16.5 km
C) 8 km D) 10km
 
Answer & Explanation Answer: D) 10km

Explanation:
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0 778
Q:

A train crosses a platform 180 m long in 60 sec at a speed of 72 km/h. The time taken by the train to cross an electric pole is:

 

A) 51 sec B) 0.51 min
C) 5.1 sec D) 5.1 min
 
Answer & Explanation Answer: A) 51 sec

Explanation:
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3 507
Q:

An express train moves with a speed of 144 km/hr. Calculate the distance covered by train in 15 minutes.

 

A) 35 km B) 32 km
C) 33 km D) 36 km
 
Answer & Explanation Answer: D) 36 km

Explanation:
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0 423
Q:

Rahim started a journey 15 minutes late, and as a result, had to drive at a speed of 54 km/h instead of 45 km/h to reach his destination on time. What is the distance covered during the course of the journey?

 

A) 90 km B) 67.5 km
C) 13.5 km D) 75.5 km
 
Answer & Explanation Answer: B) 67.5 km

Explanation:
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2 806
Q:

The distance between place X and Y is 720 km. An express train leaves place X at 5:00 p.m. and runs at a speed of 45 km/hr. The train stops on the way for 45 minutes.
At what time (in a.m.) the train reaches at place Y?

A) 1:45 B) 9:45
C) 7:15 D) 12:15
 
Answer & Explanation Answer: B) 9:45

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2 347
Q:

Driving @ 48kmhrBarun reached the destination 2 minutes ahead of time. If he drove @ 42kmhrhe would have been 1 minute late. What is the distance that Barun drove?

 

A) 17.6 km B) 17.2 km
C) 16.4 km D) 16.8 km
 
Answer & Explanation Answer: D) 16.8 km

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0 804
Q:

Shamim had to travel 420 km in 8 hours. If he travelled at an average speed of 60 km/h and took two breaks in between, the shorter break being one-third the duration of the longer, how many minutes was the longer break for?

 

A) 45 B) 30
C) 40 D) 35
 
Answer & Explanation Answer: A) 45

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0 381
Q:

Amit travelled a distance of 50 km in 9 hours. He travelled partly on foot at 5 km/h and partly by bicycle at 10 km/h. The distance travelled on the bicycle is:

 

A) 11 km B) 10 km
C) 13 km D)  12 km
 
Answer & Explanation Answer: B) 10 km

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0 495