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:

Excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?

A) 12 B) 15
C) 18 D) 20
 
Answer & Explanation Answer: B) 15

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Q:

Sabrina travelled 8 km/hr on foot and 13 km/hr on cycle. She travelled a distance of 84 km in 8 hours. Forhow many hours did she cycle?

A) 4 B) 5
C) 3 D) 2
 
Answer & Explanation Answer: A) 4

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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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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:

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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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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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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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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