Speed, Distance and Time Questions and Answers

Speed, Distance & Time Questions

Formula

Definition of Speed, Distance & Time

Speed

The degree at a person or a body moves and covers a particular distance is called the speed (s). The measuring unit of speed is distance per unit time, such as m/s, km/hr, and km/min. For instance, when a person/object covers a distance with a speed of 10 km/hr, it means that the body has moved 10 kilometres in one hour.

Time

The duration over which a person or object has moved is called time (t). The time can be measured in minutes, hours, and seconds depending on the unit used in respect to the speed.

Distance

Distance (d) is the measure of the total area covered by a person or object. It is also known as a scalar quantity. It is measured in units such as meter, kilometre, and centimetre.

Formula for Speed, Time and Distance

  • When speed is constant, time taken by the object is precisely proportional to the distance covered.
  • When time is persistent, distance covered is precisely proportional to speed at which the object is moving.
  • When the distance and continuous speed is inversely relative to the time taken, i.e. if speed increases, the time taken to cover the distance decreases.
  • If two substances are heading in the similar direction through speeds p and q, then their relative speed is |p – q|
  • If two substances are heading in the contradictory direction by speeds p and q, then their relative speed is (p + q)
  • If the speed is given in the form of harmonic progression, then time will be in arithmetic progression.
  • If the speed is given in arithmetic progression, then the time taken will be harmonic progression.

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Question 1

Time: 00:00:00
A Van of robbers is noticed by a Cop from a distance of 200 m. The robbers leave the van and start running and the cop chases them. The robbers and the cop run at the rate of 10 km and 11 km per hour respectively. After 6 minutes what will be the distance between them?

50 meter

50 meter

100 meter

100 meter

110 meter

110 meter

None of the above

None of the above

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Question 2

Time: 00:00:00
Aakash is quite a sportsperson so he like to travel some part of his journey on foot at 4 km/hr and some part on cycle at 9 km/hr to his office covering a total distance of 66 km in 9 hours. What is the distance travelled on foot?

16.25 km

16.25 km

25 km

25 km

12 km

12 km

57 km

57 km

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Question 3

Time: 00:00:00
An Airbus A350 is flying north at 500 kmph passes over a city at 12 noon. A Spice jet Airbus is flying east at the same attitude passes over the same city at 12.30 pm. The speed of Spice jet is at 400 kmph flying east. How far apart are the two planes at 2 pm to the nearest 100 km?

600km

600km

1000km

1000km

1100km

1100km

1200km

1200km

1300km

1300km

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Question 4

Time: 00:00:00
Two cyclists start together to travel to a certain destination, one at the rate of 4 kmph and the other at the rate of 5 kmph. Find the distance if the first cyclist arrives half an hour after the second cyclist.

2 km

2 km

10 m

10 m

1000 m

1000 m

1 km

1 km

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Question 5

Time: 00:00:00
In still water of river a captain is sailing a ship at the speed of 20 mph. Once water starts moving, ship takes 5 hr 30 mins to cover a distance of 50 miles and come back. Find the speed of the water.

6 mph

6 mph

8 mph

8 mph

5 mph

5 mph

2 mph

2 mph

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Question 6

Time: 00:00:00
Simran like to walk to a town at 3 and half kmph, rest there for 45 minutes and ride back at 7 and half kmph. If the total time spent by simran is 6 hrs 37 min find the distance to the town.

14 km

14 km

7 km

7 km

17 km

17 km

4 km

4 km

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Question 7

Time: 00:00:00
A bus travels at 54km/h while moving but after accounting for stopping time, to let passengers on and off the coach, it averages a speed of 45km/h. How many minutes does the bus stop for each hour?

1 minute

1 minute

10 minutes

10 minutes

3 minutes

3 minutes

9 minutes

9 minutes

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Question 8

Time: 00:00:00
Jack is a businessman who owns an expensive yacht which can cover distance in 1 hour, while it returns in 2 hours. If the speed of the stream is 4 km/h, what will be yacht’s speed in still water?

30 km/h

30 km/h

12 km/h

12 km/h

16 km/h

16 km/h

40 km/h

40 km/h

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Question 9

Time: 00:00:00
To get to a business meeting, John drove m miles in h hours, and arrived 1/2 hour early. At what speed should he have driven to arrive on exact time?

m/2h

m/2h

2m/(2h+1)

2m/(2h+1)

2m/(2h-1)

2m/(2h-1)

2m-h/2h

2m-h/2h

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Question 10

Time: 00:00:00
Romita and supriya start at the same time to ride from mewar to chittorgarh, 80 km away. Romita travels 6kmph slower than supriya. Supriya reaches mewar and at turns back meeting Romita 20km from chittorgarh. Find Romita’s speed?

2.1Km/h

2.1Km/h

6 Km/h

6 Km/h

9 Km/h

9 Km/h

15 Km/h

15 Km/h

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Question 11

Time: 00:00:00
Japan’s minister had recently launched an express train which on Monday was travelling at 72km per hour crosses a newly built platform in 30 seconds and a man standing on the platform in 18 seconds. Determine the length of the platform in m?

240 m

240 m

360 m

360 m

420 m

420 m

600 m

600 m