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:

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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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:

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:

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:

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:

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:

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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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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