Time and Distance Questions

FACTS  AND  FORMULAE  FOR  TIME  AND  DISTANCE

1.Speed = DistanceTime,  Time=DistanceSpeed, Distance= Speed×Time 

 

2. x km/hr = x×518 m/sec

 

3. x m/sec = x×185 km/hr

4. If the ratio of the speeds of A and B is a:b , then the ratio of the times taken by them to cover the same distance is or b : a

5. Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+ykm/hr.

Q:

Aman and Kapil starts from Delhi and Gwalior respectively towards each other at same time. They meet at Mathura and then take 196 minutes and 225 minutes respectively to reach Gwalior and Delhi. If speed of Aman is 30 km/hr, then what is the speed (in km/hr) of Kapil?

A) 28 B) 30
C) 225/7 D) 392/15
 
Answer & Explanation Answer: A) 28

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Q:

A gun is fired at a distance of 6.64 km away from Ram. He hears the sound 20 seconds later. Then the speed of sound is

A) 664 m/s B)  664 km/s
C) 332 m/s D) 332 km/s
 
Answer & Explanation Answer: C) 332 m/s

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Q:

Two cars A and B travel from one city to another, at speeds of 72 km/hr and 90 km/hr respectively. If car B takes 1 hour lesser than car A for the journey, then what is the distance (in km) between the two cities?

A) 270 B) 360
C) 240 D) 400
 
Answer & Explanation Answer: B) 360

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Q:

A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart:
                       

                         Part I     Part II       Part III

Speed (kmph)       9            8              7.5

Time (minutes)     50          80             100

What is the average speed of this runner?

A) 8.17 kmph B) 8.00 kmph
C) 7.80 kmph D) 7.77 kmph
 
Answer & Explanation Answer: B) 8.00 kmph

Explanation:

Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23

= 8 kmph
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Q:

Two bikers A and B start and ride at 75 km/hr and 60 km/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?

A) 60 B) 45
C) 30 D) 15
 
Answer & Explanation Answer: B) 45

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Q:

Travelling at 4/5th of his usual speed, a man is 15 minutes late. What is his usual time to cover the same distance?

A) 15 min B) 1 hr
C) 75 min D) 45 min
 
Answer & Explanation Answer: B) 1 hr

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Q:

After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

A) 6 hours 15 minutes B) 6 hours 45 minutes
C) 7 hours D) 7 hours 30 minutes
 
Answer & Explanation Answer: B) 6 hours 45 minutes

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Q:

Two cars travel from city A to city B at a speed of 24 and 32 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 288 km B) 360 km
C) 240 km D) 192 km
 
Answer & Explanation Answer: C) 240 km

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