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 bus moves at a speed of 84 km/hr after repairing and moves at a speed of 56 km/hr before repairing. It covers 2x distance in 8 hours after repairing.How much time (in hours) will it take to cover x distance before repairing?

A) 8 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: C) 6

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Q:

3 hrs after a goods train passed a station, another train travelling at a speed of 88 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

A) 76.8 km/hr B) 64 km/hr
C) 96 km/hr D) 51.2 km/hr
 
Answer & Explanation Answer: B) 64 km/hr

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Q:

Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?

A) 36 B) 39
C) 42 D) 45
 
Answer & Explanation Answer: C) 42

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Q:

Keerthana takes 9 hrs 20 min in walking a distance and riding back to same place where she started. She could walk both ways in 11 hrs 15 min. The time taken by her to ride back both ways is

A) 7 hrs 25 min B) 7 hrs 35 min
C) 7 hrs 45 min D) 7 hrs 15 min
 
Answer & Explanation Answer: A) 7 hrs 25 min

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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:

Sharmi starts from Pune and Ritesh starts from Mumbai to meet each other. The Speed of Sharmi is 37 kmph, while the speed of Ritesh is 41 kmph. If the distance between Pune and Mumbai be 234 km and both Sharmi and Ritesh start their journey at the same time, when they will meet?

A) 1 hour later B) 1.5 hour later
C) 2 hour later D) 2.5 hour later
 
Answer & Explanation Answer:

Explanation:
234 = (37+41)*t
t =3
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Q:

Suresh goes on a trip on his motor-cycle and rides for 410 kms. If he rides for 5 hours at a speed of 50 km/hr, find at what speed he travels for the remaining 4 hours of the journey?

A) 47 km/hr B) 40 km/hr
C) 56 km/hr D) 48 km/hr
 
Answer & Explanation Answer: B) 40 km/hr

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Q:

A man starts walking at 6.30 a.m. and wants to cover a distance of 30km. His initial speed is 6 kmph and after covering three-fifth distance, he reduces his speed by 2 kmph. At what time will he complete his walk?

A) 11.00 am B) 12.30 pm
C) 11.30 pm D) 12.00 pm
 
Answer & Explanation Answer: B) 12.30 pm

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