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 = \(\frac { Distance }{ Speed } \)

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### 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.