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:

Hema takes a total of 9 hours 55 min to walk a certain distance and then cycling back to the same place from where she had started. She could walk both ways in 12 hours 30 min. The time she will take to cycle both ways is :

A) 7 hrs 20 min B) 7 hrs 15 min
C) 7 hrs 35 min D) 7 hrs 40 min
 
Answer & Explanation Answer: A) 7 hrs 20 min

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4 2016
Q:

Rohit walks at 17 km/hr and Ruchira cycles at 22 km/hr towards each other. What was the distance between them when they started if they meet after 44 minutes?

A) 42.9 km B) 35.8 km
C) 21.5 km D) 28.6 km
 
Answer & Explanation Answer: D) 28.6 km

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2 1993
Q:

A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?

A) 6:20 B) 4:40
C) 6:00 D) 5:30
 
Answer & Explanation Answer: B) 4:40

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4 1941
Q:

A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?

A) 360 B) 450
C) 600 D) 720
 
Answer & Explanation Answer: B) 450

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2 1933
Q:

A missile travels at 1422 km/h. How many metres does it travel in one second?

A) 395 metres B) 400 metres
C) 364 metres D) 319 metres
 
Answer & Explanation Answer: A) 395 metres

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0 1933
Q:

A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?

A) 1:42 p.m. B) 1:27 p.m.
C) 2:04 p.m. D) 1:49 p.m.
 
Answer & Explanation Answer: D) 1:49 p.m.

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1 1931
Q:

A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A) 30 B) 36
C) 45 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:

Given that, speed of thief motorcycle is x kmph .

 

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t 

=> d = 8x kms

 

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

 

To catch the thief, distance covered by the thief is equal to distance covered by the police .

 

Therefore,

d = D

 

d = 8x = 160 

x = 160/8 = 20

x = 20 kmph

 

Hence, the speed of thief's motorcycle is 20 km/hr.

 

 

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Q:

A gun is fired at a distance of 6.64 km away from Ram. He hears the sound 20 seconds later. Then the speed of sound is

A) 664 m/s B)  664 km/s
C) 332 m/s D) 332 km/s
 
Answer & Explanation Answer: C) 332 m/s

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