17
Q:

P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?

A) 3 km/hr B) 4 km/hr
C) 5 km/hr D) 6 km/hr

Answer:   B) 4 km/hr



Explanation:

Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.

 

So, 24/x + 24/(7 - x) = 14

 

x2 - 98x + 168 = 0

 

(x - 3)(x - 4) = 0 => x = 3 or 4.

 

Since, P is faster than Q,

 

so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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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0 279
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

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1 156
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

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0 160
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

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2 503
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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1 164
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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0 545
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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0 183
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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0 210