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Interval Notation Factoring Quadratics Absolute Value Inequalities Prime Numbers Measuring Mass/Weight Dividing Fractions & Mixed Fractions, Complex Fractions TemperatureSpeed, Distance and Time are values that are closely related to each other.

Our lives really revolve around them.

Planning a journey on a map, driving a car at the speed limit, deciding when to go to bed at night
or get up the next morning.

Everyday we make numerous decisions involving speed, distance and time in some way or another.

Here we will show how they interlink, and how some basic formulas can be used to work out each.

Speed is the rate of movement or motion of an object.

More specifically, the measurement of distance covered in a certain time.

The most common speed measurements that most people likely encounter are:

MILES PER HOUR  - **MPH**

KILOMETRES PER HOUR  - **KPH**

Average speed can be obtained by the formula:

So if a car travels a distance of **80** miles, in **2** hours.

**AVERAGE SPEED** = \bf{\frac{80}{2}} =
**40** ( MILES PER HOUR )

The average speed of the car would be **40**mph.

A plane flies a distance of **200** Kilometres in **47** minutes.

What is the average speed of the plane in "Kilometers per hour"?

The plane flies **4.26** kilometers in  1 minute.

To find out the average speed in hours, we need to multiply by **60**, as there are **60**
minutes in  1 hour.

4.26 × 60 = 255.6

The average speed of the plane is **255.6**Kph.

A charity run usually takes people _{4}\bf{\frac{1}{2}}  hours to make it to the finish line
**14** miles away.

What average speed is required to complete the run in the _{4}\bf{\frac{1}{2}}  hour time?

The average running speed required to complete the race in the usual time is **3.1**Mph.

The AVERAGE SPEED formula can be rearranged to produce the formula for TIME.

A motorcycle rider travels a journey of **168** Kilometers,

at an average speed of
**42**Kph.

How much time did the journey take in hours?

The journey took a time of **4** hours.

A coach leaves New York City at **10:30am**, travelling to its destination **425** kilometers
away.

If the coach travels at an average speed of **50**Kph, with a
**1** hour lunch stop, what time will the coach arrive at it's destination?

**8.5** hours on the road, 8 hours and  30 minutes.

Remembering the hour long lunch stop.

Total time travelling is  9 hours and  30 minutes.

So with a **10:30am** departure time,

a journey of  9 hours and  30 minutes results in an arrival time at the
destination of **8:00pm**.

The AVERAGE SPEED formula can be rearranged slightly again to also give
us the formula for DISTANCE.

**DISTANCE COVERED** = **AVERAGE SPEED** ×
**TIME TAKEN**

A race car drives round a track at an average speed of **150**Mph.

The car completes **200** laps in 2 hours.

What is the distance of 1 lap?

Distance covered in 2 hours:

**DISTANCE COVERED** = **150** × **2** = **300**

**300** miles traveled, split into **200** laps.

\bf{\frac{300}{200}} = 1.5

The distance of  1 lap is **1.5** miles.

If an object is travelling at **21**mph for  1 hour and
 43 minutes.

What is the distance traveled to 2 decimal places?

**60** minutes in  1 hour.

1 hour and 43 minutes =

**36.05** miles were traveled by the object.

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