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 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 map is drawn at a scale of 2 mm for 500 kms. Two places are marked at the distance of 3.6 mm; calculate the distance (in kms) between these two places?

A) 900 B) 800
C) 750 D) 960
 
Answer & Explanation Answer: A) 900

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Q:

Pihu and Aayu are running on a circular track of diameter 28m. Speed of Pihu is 48 m/s and that of Aayu is 40 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?

A) 8 sec B) 11 sec
C) 13 sec D) 14 sec
 
Answer & Explanation Answer: B) 11 sec

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Q:

Car B is running twice as fast as car A. If car A covers a distance of 90 km in 1 1/2 hrs, what is the speed of car B?

A) 60 kmph B) 90 kmph
C) 100 kmph D) 120 kmph
 
Answer & Explanation Answer: D) 120 kmph

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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:

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:

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:

P and Q are at a distance of 240 km from each other at 9:00 a.m. After 1 hour, P starts moving towards Q at a speed of 25 km/hr. At 11 a.m. Q startsmoving towards P at the speed of 18 km/hr. At what time (in p.m.) will they meet?

 

A) 6 B) 5
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

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