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 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 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 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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Q:

Car B is twice as fast as car A. If car A covers 90 km in 2 hours, what is the speed of car B?

A) 90 kmph B) 80 kmph
C) 100 kmph D) 70 kmph
 
Answer & Explanation Answer: A) 90 kmph

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Q:

The traffic lights at four different road crossings change after every 15 sec, 18 sec, 27 sec and 30 sec respectively. If they all change simultaneously at 6:10:00 hours, then at what time will they again change simultaneously?

 

A) 6:14:30 hours B) 6:40:00 hours
C) 6:14:00 hours D) 10:40:00 hours
 
Answer & Explanation Answer: A) 6:14:30 hours

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Q:

A car covers the first 30 km at a speed of 60 kmph and the next 20 km at 80 kmph. Find the average speed.

A) 65.67 kmph B) 65.33 kmph
C) 66.33 kmph D) 66.67 kmph
 
Answer & Explanation Answer: D) 66.67 kmph

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Q:

During morning walk, a man covers a distance of 3 km, 4 km, 3.5 km, 5 km and 4.5 km from Monday to Friday, respectively. How much distance should he cover on two more days, so that his average per week becomes 4 km per day?

 

A) 4 B) 8
C) 5 D) 6
 
Answer & Explanation Answer: B) 8

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Q:

A boy walking at the speed of 4 km/hr covers a certain distance in 6 hours 15 minutes. If he covers the same distance by cycle in 5 hours, then what is the speed (in km/hr) of the cycle?

 

 

A) 4.5 B) 5  
C) 6   D) 6.5
 
Answer & Explanation Answer: B) 5  

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