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:

Kishan cycled a distance of 120 km at a certain speed. If he cycled 2 km slower every hour, he would have taken 3 more hours to reach his destination. What is the speed in kmph at which Kishan actually cycled?

A) 15 B) 8
C) 12 D) 10
 
Answer & Explanation Answer: D) 10

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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 thief is stopped by a policeman from a distance of 350 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of the policeman as 7 km/h, how far the thief would have run, before he is over- taken?

A) 875 metres B) 700 metres
C) 1050 metres D) 525 metres
 
Answer & Explanation Answer: A) 875 metres

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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:

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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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 missile travels at 1260 km/h. How many metres does it travel in one second?

A) 322 metres B) 369 metres
C) 384 metres D) 350 metres
 
Answer & Explanation Answer: D) 350 metres

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Q:

If Shubhangi walks with a speed of 2 km/hr, then she reaches her school 5/2 minutes late but if she walks with a speed of 2.5 km/hr, then she reach 5 minutes before the scheduled time. What is the distance (in km) of her school from her house?

A) 1.025 B) 1.125
C) 1.25 D) 1.5
 
Answer & Explanation Answer: C) 1.25

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