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:

A bus runs at 50 kmph. If the speed is increased by 10 kmph, it will cover 20 km more in the same time. Find the actual distance covered?

A) 100 km B) 150 km
C) 200 km D) 250 km
 
Answer & Explanation Answer: A) 100 km

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Q:

A man travelled at 40 kmph. Had he increased his speed by 16 kmph, he would have covered 80 km more in the same time. Find the actual distance travelled?

A) 40 km B) 20 km
C) 30 km D) 48 km
 
Answer & Explanation Answer: B) 20 km

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Q:

What should be the average speed of the car to cover a distance of 342 km in 1.9 hours?

A) 180 m/s B) 90 m/s
C) 50 m/s D) 100 m/s
 
Answer & Explanation Answer: C) 50 m/s

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Q:

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

A) 46 B) 42
C) 44 D) 48
 
Answer & Explanation Answer: D) 48

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Q:

A Lawn roller makes 20 revolutions in one hour. The radius it runs through 25 minutes is

A) 50π7 B) 150π7
C) 250π3 D) 50π3
 
Answer & Explanation Answer: D) 50π3

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Q:

Rizvan walks at 15 km/hr and Ruchitha cycles at 20 km/hr towards each other. What was the distance between them when they started if they meet after 42 minutes?

A) 36.8 kms B) 30.6 kms
C) 24.5 kms D) 18.4 kms
 
Answer & Explanation Answer: C) 24.5 kms

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Q:

The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

A) 1 B) 3
C) -1 D) -3
 
Answer & Explanation Answer: C) -1

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Q:

A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over ­taken?

A) 500 metres B) 750 metres
C) 375 metres D) 625 metres
 
Answer & Explanation Answer: D) 625 metres

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