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 racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (inkm/hr) to complete the lap in 12 minutes?

A) 24 B)  21
C) 27 D) 30
 
Answer & Explanation Answer: C) 27

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Q:

Two cars travel from city A to city B at a speed of 30 and 36 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 648 km B) 810 km
C) 432 km D) 540 km
 
Answer & Explanation Answer: D) 540 km

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Q:

A car travels a certain distance at 70 km/h and comes back at 30 km/h. Find the average speed for total journey.

A) 42 km/hr B) 50 km/hr
C) 34 km/hr D) 58 km/hr
 
Answer & Explanation Answer: A) 42 km/hr

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Q:

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

A) 8:00 B) 4:00
C) 6:30 D) 5:30
 
Answer & Explanation Answer: C) 6:30

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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 a distance of 61 km. in 9 hours , partly by walking at speed of 4 km / hr and partly on bicycle at speed of 9 km / hr. The distance covered by walking is

A) 16 Km B) 12 Km
C) 15 Km D) 17 Km
 
Answer & Explanation Answer: A) 16 Km

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Q:

If a boat goes upstream at a speed of 21 km/h and comes back the same distance at 28 km/h. What is the average speed (in km/hr) for the total journey?

A) 24.5 B) 24
C) 25 D) 25.4
 
Answer & Explanation Answer: B) 24

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Q:

Abhay and Chintan are riding their motorcycles. They start from the same point. Abhay rides 7 km North, then turns to his left and rides 4 km. In the meanwhile Chintan rides 6 km West, then turns North and rides 7 km, then turns to his left and rides 8 km. Where is Abhay with respect to Chintan?

A) 4 km East B) 10 km West
C) 4 km Wes D) 10 km East
 
Answer & Explanation Answer: D) 10 km East

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