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 thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A) 30 B) 36
C) 45 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:

Given that, speed of thief motorcycle is x kmph .

 

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t 

=> d = 8x kms

 

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

 

To catch the thief, distance covered by the thief is equal to distance covered by the police .

 

Therefore,

d = D

 

d = 8x = 160 

x = 160/8 = 20

x = 20 kmph

 

Hence, the speed of thief's motorcycle is 20 km/hr.

 

 

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Q:

Two runners A and B start running at 12 km/hr and 16 km/hr towards each other. They meet after 1 hour and 30 minutes. How far (in km) were they from each other when they started?

A) 42 B) 36
C) 40 D) 45
 
Answer & Explanation Answer: A) 42

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Q:

Two cyclists A and B start cycling at 21 km/hr and 24 km/hr towards each other. They meet after 1 hour and 12 minutes. How far (in km) were they from each other when they started?

A) 48 B) 42
C) 54 D) 36
 
Answer & Explanation Answer: C) 54

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Q:

A train has to cover a distance of 900 km in 25 hours. What should be its average speed in meters/second?

A) 20 B) 10
C) 18 D) 36
 
Answer & Explanation Answer: B) 10

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Q:

Two cars A and B travel from one city to another city, at speeds of 60 km/hr and 108 km/hr respectively. If car B takes 2 hours lesser time than car A for the journey, then what is the distance (in km) between the two cities?

A) 240 B) 270
C) 300 D) 330
 
Answer & Explanation Answer: B) 270

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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:

A plane flies a distance of 1800 km in 5 hours. What is its average speed in meters/second?

A) 200 B) 10
C) 20 D) 100
 
Answer & Explanation Answer: D) 100

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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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