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 Time and Distance Questions

Popular Latest Rated Important Formulae

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 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:

Ram cycles 5 km in the south, and turns left to travel 5 km further. From there, he takes a right turn and travels 5 km more. How far is he from his original position?

A) 5 km B) 5√5 km
C) 10 km D) 6 km
 
Answer & Explanation Answer: B) 5√5 km

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Q:

Rubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 Km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is

A) 2 km B) 5 km
C) 2.5 km D) 5.5 km
 
Answer & Explanation Answer: A) 2 km

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Q:

Two cars travel from city A to city B at a speed of 36 and 48 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) 518 km B) 432 km
C) 648 km D) 346 km
 
Answer & Explanation Answer: B) 432 km

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Q:

Two cars travel from city A to city B at a speed of 30 and 44 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 330 km B) 396 km
C) 495 km D) 264 km
 
Answer & Explanation Answer: A) 330 km

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Q:

A car moving in the morning fog passes a man walking at 4km/h. in the same direction. The man can see the car for 3 minutes and visibility is upto a distance of 130m. The speed of the car is :

A) 10 kmph B) 7.5 kmph
C) 8.9 kmph D) 6.6 kmph
 
Answer & Explanation Answer: D) 6.6 kmph

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Q:

The ratio of speeds of X and Y is 5:7. Y covers a distance of 420 km in 3 hours. What is the speed of X?

A) 80 kmph B) 90 kmph
C) 120 kmph D) 100 kmph
 
Answer & Explanation Answer: D) 100 kmph

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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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