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:

Two cars travel from city A to city B at a speed of 30 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) 288 km B) 240 km
C) 360 km D) 192 km
 
Answer & Explanation Answer: B) 240 km

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Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: Vipin can swim at 6 km/hr in still water. The river flows at 3 km/hr and it takes 8 hours more upstream then downstream for the same distance. How far is the place?

Quantity II: A man can row 25 km/hr in still water and the river is running at 15 km/hr. if the man takes 2 hr to row to a place and back, how far is the place?

A)  Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I < Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: A)  Quantity I > Quantity II

Explanation:

Quantity I: let d be the distance covered ATQ d/(6-3)-d/(6+3)=8 d=36km

Quantity II: ATQ d/(25-15)+d/(25+15)=2 D=16km

Hence Quantity I > Quantity II

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Q:

To travel 708 km, an Express train takes 6 hours more than Rajdhani train. If however, the speed of the Express train is doubled, it takes 3 hours less than Rajdhani train. What is the speed of Rajdhani train?

A) 59 km/hr B) 78.7 km/hr
C) 39.3 km/hr D) 98.3 km/hr
 
Answer & Explanation Answer: A) 59 km/hr

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Q:

A man is running at the speed of 20 km/hr. What is time (in seconds) taken by man to cover one round of a circular garden of radius 350 metres?

A) 412 B) 336
C) 396 D) 376
 
Answer & Explanation Answer: C) 396

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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 man travels 404 kilometres in partly by rail and steamer. He spends 10 hours more time on steamer. If the speed of the steamer is 30 km/hr and the velocity of rail is 50 km/hr, how much distance does he cover by steamer?

A) 407 km B) 509 km
C) 610 km D) 339 km
 
Answer & Explanation Answer: D) 339 km

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Q:

To cover a distance of 225 km in 2.5 hours what should be the average speed of the car in meters/second?

A) 90 m/s B) 45 m/s
C) 50 m/s D) 25 m/s
 
Answer & Explanation Answer: D) 25 m/s

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Q:

A man travels 430 kilometres in, partly by rail and partly by steamer. He spends 10 hours more time on steamer. If the velocity of the steamer is 25 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?

A) 360 km B) 300 km
C) 450 km D) 540 km
 
Answer & Explanation Answer: B) 300 km

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