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 man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km B) 15 km
C) 12 km D) 20 km
 
Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

 

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

 

 

Using formula,

Time = Distance/speed

 

(D/3) + (D/6) = 5

 

D =10 ,

Hence, Total distance 2D  =  20 kms.

 

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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

Explanation:
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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 person clapped his hands near a cliff and heard echo after 6 s. The distance of the cliff from the personis: [take v = 346 m/s]

A) 1038 m B) 1083 m
C) 2076 m D) 2706 m
 
Answer & Explanation Answer: A) 1038 m

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Q:

A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 20 min, the distance is

A) 35 Km B) 21 Km
C) 9 Km D) 12 Km
 
Answer & Explanation Answer: D) 12 Km

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Q:

Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is:

A) 336 km B) 280 km
C) 420 km D) 224 km
 
Answer & Explanation Answer: B) 280 km

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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:

Ravindra walks at 6 km/hr and Riya cycles at 11 km/hr towards each other. What was the distance between them when they started if they meet after 42 minutes?

A) 17.9 kms B) 14.9 kms
C) 8.9 kms D) 11.9 kms
 
Answer & Explanation Answer: D) 11.9 kms

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