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:

The ratio between the speeds of two buses is 11:9. If the second bus runs 270 kms in 15 hours, then the speed of the first bus is?

A) 23 km/hr B) 11 km/hr
C) 2 km/hr D) 22 km/hr
 
Answer & Explanation Answer: D) 22 km/hr

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Q:

A person driving at the speed of 40 kmph reaches office 1 minute early while he reaches 3 minutes late if driving at 36 kmph. What is the distance in km that she is covering?

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

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Q:

In what time will Rs.4400 become Rs.4576 at 8% per annum interest compounded half-yearly?

A) 1 year B) 2 years
C) 6 months D) 7 months
 
Answer & Explanation Answer: C) 6 months

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Q:

If P travelled the first half of a journey at 40 kmph and the the remaining distance at 50 kmph, what is the average speed of his travel?

A) 44.44 kmph B) 53.33 kmph
C) 45 kmph D) 60 kmph
 
Answer & Explanation Answer: A) 44.44 kmph

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Q:

Two cycles start from a house with a speed of 24kmph at interval of 15 min. With how much more speed in kmph the woman coming from the opposite direction towards the house has to travel to meet the cycles at an interval of 10 minutes?

A) 13 B) 11
C) 12 D) 14
 
Answer & Explanation Answer: C) 12

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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:

A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

A) 11.00 am B) 12.30 pm
C) 11.30 pm D) 12.00 pm
 
Answer & Explanation Answer: B) 12.30 pm

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Q:

A mini-van crosses two people walking at the speed of 4.8 kmph and 6 kmph in the same direction as that in which the mini-van is heading in 4.5 s and 9 s, respectively. What is the length of the mini-van?

A) 3.5 m B) 3 m
C) 4 m D) 2 m
 
Answer & Explanation Answer: B) 3 m

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