This Worksheet on Calculating Distance and Time contains various example questions along with solutions related to speed, distance, and time. Students will learn the ways of finding the time and distance by knowing speed. Get more practice problems that will help you while preparing for the exams. Have a look at the speed, time, and distance formulas and examples in the following sections.
The speed, distance and time formulas are along the lines:
Speed = \(\frac { Distance }{ Time } \)
Distance = Speed x Time
Time = \(\frac { Distance }{ Speed } \)
More Related Articles:
Solved Questions on Finding Distance & Time
Example 1:
A person jogs at a speed of 6 kilometers per 1 hour. He took 40 minutes to jog around the circular ground. What is the circumference of the ground?
Solution:
Given that,
Speed = 6 km/hr = 6 x \(\frac { 1 }{ 60 } \) = 0.1 km/minute
The time taken to jog around the ground = 40 minutes
Distance = Speed x Time
= 0.1 x 40 = 4 km
The circumference of the ground is 4 km.
Example 2:
A train is traveling at a speed of 70 kilometers in 5 hours. The distance between stations A and B is 150 km. Find how much time does the train takes to reach station A from station B.
Solution:
The speed of train = \(\frac { 70 }{ 5 } \) = 14 km/hr
The distance between stations = 150 km
The time taken to reach station A from station B = \(\frac { Distance }{ Speed } \)
= \(\frac { 150 }{ 14 } \)
= 10.7
The train takes atleast 10.7 hours
Example 3:
Riya cycles at a speed of 15 meters per second. What is the distance covered by her in 5 minutes?
Solution:
Speed = 15 m/sec
Time taken = 5 minutes
As the time is in minutes unit convert the speed as meters per minute
Speed = 15 x \(\frac { 1 }{ 60 } \) = 0.25 m/minutes
Distance covered = Speed x Time
= 0.25 m/minutes x 5 minutes
= 1.25 meters
Therefore, Riya covers 1.25 meters in 5 minutes.
Example 4:
An express bus takes 30 hours to travel a distance of 1800 km. Another bus travels at a speed which is 40 km per hour less than the first bus. How long it will take to travel the same distance by the second bus.
Solution:
Speed of the first bus = \(\frac { 1800 }{ 30 } \) = 60 km/hr
Speed of the second bus = 60 – 40 = 20 km/hr
The time taken by the second bus to travel 1800 kilometres is
Time = \(\frac { 1800 }{ 20 } \)
= 90 hr
Therefore, It will take 90 hours to travel the distance of 1800 kilometers by the second bus.
Example 5:
A man drives at a speed of 50 meters per 2 seconds. What is the distance covered in 5 hours?
Solution:
The speed of the man = \(\frac { 50 }{ 2 } \)
= 25 m/sec
The time is given in hours. So, express the speed as km/hr
Speed = 25 x \(\frac { 1/1000 }{ 1/3600 } \)
= \(\frac { 25 x 3600 }{ 1000 } \)
= \(\frac { 90,000 }{ 1000 } \)
= 90 km/hr
The distance covered in 5 hours is
Distance = speed x time
= 90 km/hr x 5 hrs
= 450 kms
The distance covered in 5 hours is 450 kilometers.
Example 6:
A car covers a distance of 2400 kilometers in 40 hours. What is its speed?
Solution:
Given that,
The distance covered by car = 2400 km
The time taken = 40 hours
Speed = \(\frac { Distance }{ Time } \)
= \(\frac { 2400 }{ 40 } \)
= 60 km/hr
The speed of the car is 60 km/hr
Example 7:
Victoria runs at a speed of 5 meters per second. How much time it will take to cover a distance of 4 kilometers?
Solution:
Given that,
Speed = 5 m/sec
Distance = 4 kilometers
Time = ?
Covert the distance into meters
Distance = 4 x 1000 = 4000 meters
Time = \(\frac { Distance }{ Speed} \)
= \(\frac { 4000 }{ 5 } \)
= 800
So, it takes 800 seconds or \(\frac { 800 }{ 60 } \) = 13.3 minutes to cover a distance of 4 kilometers.