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 travelled a distance of 60 km in 7 hours. He travelled partly on foot @ 6 km/hr and partly on bicycle @ 12 km/hr. What is the distance (in kms) travelled on foot?

A) 15 B) 9
C) 48 D) 24
 
Answer & Explanation Answer: D) 24

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1 1910
Q:

A car travelling at an average speed of 72 km/hr takes 9 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 8 minutes?

A) 8 B) 9
C) 7 D) 6
 
Answer & Explanation Answer: B) 9

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1 1908
Q:

Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?

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

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4 1904
Q:

Krishna cycled a distance of 90 km at a certain speed. If he cycled 3 km slower every hour, he would have taken 5 more hours to reach his destination. What is the speed in kmph at which Krishna actually cycled?

 

A) 7.5 B) 18
C) 15 D) 9
 
Answer & Explanation Answer: D) 9

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4 1894
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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15 1880
Q:

Two cars travel from city A to city B at a speed of 30 and 48 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) 288 km B) 240 km
C) 360 km D) 192 km
 
Answer & Explanation Answer: B) 240 km

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3 1878
Q:

Vishnu travelled equal distances at speeds of 10 kmph, 30 kmph and 8 kmph and took a total of 15.5 min to complete. Find the total distance he travelled, in km.

A) 1 B) 3
C) 4 D) 2
 
Answer & Explanation Answer: B) 3

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2 1871
Q:

Two cars travel from city A to city B at a speed of 30 and 45 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) 270 km B) 338 km
C) 180 km D) 225 km
 
Answer & Explanation Answer: D) 225 km

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2 1865