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 bikers A and B start and ride at 75 km/hr and 60 km/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?

A) 60 B) 45
C) 30 D) 15
 
Answer & Explanation Answer: B) 45

Explanation:
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Q:

A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart:
                       

                         Part I     Part II       Part III

Speed (kmph)       9            8              7.5

Time (minutes)     50          80             100

What is the average speed of this runner?

A) 8.17 kmph B) 8.00 kmph
C) 7.80 kmph D) 7.77 kmph
 
Answer & Explanation Answer: B) 8.00 kmph

Explanation:

Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23

= 8 kmph
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Q:

Two cars travel from city A to city B at a speed of 24 and 32 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is

A) 288 km B) 360 km
C) 240 km D) 192 km
 
Answer & Explanation Answer: C) 240 km

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Q:

After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?

A) 6 hours 15 minutes B) 6 hours 45 minutes
C) 7 hours D) 7 hours 30 minutes
 
Answer & Explanation Answer: B) 6 hours 45 minutes

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Q:

A person driving at the speed of 45 kmph reaches office 1 minute early while she reaches 3 minutes late if driving 40 kmoh. What is the distance (in Km) that she is covering?

 

A) 24 B) 28
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Difference in time taken = 4min = 1/15 hr

Let the total distance covered by person be D km.

Then,

D/40 – D/45 = 1/15

⇒ 5D = 120

⇒ D = 24 km

∴ Distance covered by person is 24 km.

 

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Q:

If a person walks at 15 km/hr instead of 9 km/hr, he would have walked 3 km more in the same time. What is the actual distance (in kms) travelled by him? 

A) 5.5 B) 6.5
C) 4.5 D) 7.5
 
Answer & Explanation Answer: C) 4.5

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Q:

To cover a distance of 216 km in 3.2 hours, what should be the average speed of the car in meters/second?

A) 67.5 m/s B) 33.75 m/s
C) 37.5 m/s D) 18.75 m/s
 
Answer & Explanation Answer: D) 18.75 m/s

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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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