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Q:

# Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

 A) 1 : 3 B) 2 : 1 C) 3 : 1 D) 1 : 2

Answer:   B) 2 : 1

Explanation:

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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:
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0 28
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:
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0 172
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:
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0 199
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:
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1 166
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:
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0 224
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:
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0 255
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:
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0 269
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:
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