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Exercise 2 1 The distance from Johannesburg to Cape Town along the N1 is 1500 km . 1.1) Calculate the average speed of a motorist who did this journey in 18 hours. 1.2) How long will it take a truck driver complete the same journey if he drives at an average speed of \( 72 \mathrm{~km} / \mathrm{h} \) ? 2 Principal Fana won the Heidelberg marathon road race over a distance \( 42,2 \mathrm{~km} \) in a time of 2 h 33 min and 29 sec . 2.1 Calculate his average speed in \( \mathrm{m} / \mathrm{s} \) correct to two decimal places. 2.2 If the athlete who came second in a time of 2 h 35 min and 11 sec , ran at a speed of \( 4,5 \mathrm{~m} / \mathrm{s} \), how far was he behind the winner when the winner finished? (3) A racing driver drove his racing car around a racing track of \( 4,2 \mathrm{~km} \) in a time of 1 min and \( 15,6 \mathrm{sec} \). 3.1 Calculate his average speed on this occasion in \( \mathrm{m} / \mathrm{s} \) and in \( \mathrm{km} / \mathrm{h} \). 3.2 Calculate the time that a stopwatch will show if the car goes round the \( 4,2 \mathrm{~km} \) track at an average speed of \( 240 \mathrm{~km} / \mathrm{h} \). Note: Another kind of speed that is often used in technology and science is rotation speed. Objects like wheels and gears rotate around their axes at speeds measured in units such as revolutions per minute (r.p.m. or \( \frac{r}{m} \) ). Instead of the formula \( S=\frac{D}{T} \), we now use the formula \( S=\frac{R}{T} \), where \( R \) represents the number of revolutions made by a revolving object in a time period \( T \). For example: If the pedal of a bicycle makes 1000 revolutions in 10 minutes its rotation speed is \( S=\frac{1000}{10}=100 \) r.p.m. 4.1 How many revolutions does a merry-go-round make during \( 6,5 \mathrm{~min} \) if its average rotation speed is 2,4 r.p.m.? 4.2 A top-loading washing machine spins at 600 rpm . A front loading machine spins at 1400 rpm . If both machines take 45 minutes to complete a wash, end of the wash? 4.3 Calculate the rotation speed in it completes 10 revolutions in 4 seconds. 30 Chapter 1: Numbers a

          Exercise 2

1 The distance from Johannesburg to Cape Town along the N1 is 1500 km .
1.1) Calculate the average speed of a motorist who did this journey in 18 hours.
1.2) How long will it take a truck driver complete the same journey if he drives at an average speed of \( 72 \mathrm{~km} / \mathrm{h} \) ?
2 Principal Fana won the Heidelberg marathon road race over a distance \( 42,2 \mathrm{~km} \) in a time of 2 h 33 min and 29 sec .
2.1 Calculate his average speed in \( \mathrm{m} / \mathrm{s} \) correct to two decimal places.
2.2 If the athlete who came second in a time of 2 h 35 min and 11 sec , ran at a speed of \( 4,5 \mathrm{~m} / \mathrm{s} \), how far was he behind the winner when the winner finished?
(3) A racing driver drove his racing car around a racing track of \( 4,2 \mathrm{~km} \) in a time of 1 min and \( 15,6 \mathrm{sec} \).
3.1 Calculate his average speed on this occasion in \( \mathrm{m} / \mathrm{s} \) and in \( \mathrm{km} / \mathrm{h} \).
3.2 Calculate the time that a stopwatch will show if the car goes round the \( 4,2 \mathrm{~km} \) track at an average speed of \( 240 \mathrm{~km} / \mathrm{h} \).
Note:

Another kind of speed that is often used in technology and science is rotation speed. Objects like wheels and gears rotate around their axes at speeds measured in units such as revolutions per minute (r.p.m. or \( \frac{r}{m} \) ).
Instead of the formula \( S=\frac{D}{T} \), we now use the formula \( S=\frac{R}{T} \), where \( R \) represents the number of revolutions made by a revolving object in a time period \( T \).
For example: If the pedal of a bicycle makes 1000 revolutions in 10 minutes its rotation speed is \( S=\frac{1000}{10}=100 \) r.p.m.
4.1 How many revolutions does a merry-go-round make during \( 6,5 \mathrm{~min} \) if its average rotation speed is 2,4 r.p.m.?
4.2 A top-loading washing machine spins at 600 rpm . A front loading machine spins at 1400 rpm . If both machines take 45 minutes to complete a wash, end of the wash?
4.3 Calculate the rotation speed in it completes 10 revolutions in 4 seconds.
30
Chapter 1: Numbers a

Exercise 2

1 The distance from Johannesburg to Cape Town along the N1 is 1500 km .
1.1) Calculate the average speed of a motorist who did this journey in 18 hours.
1.2) How long will it take a truck driver complete the same journey if he drives at an average speed of 72 km / h ?
2 Principal Fana won the Heidelberg marathon road race over a distance 42,2 km in a time of 2 h 33 min and 29 sec .
2.1 Calculate his average speed in m / s correct to two decimal places.
2.2 If the athlete who came second in a time of 2 h 35 min and 11 sec , ran at a speed of 4,5 m / s, how far was he behind the winner when the winner finished?
(3) A racing driver drove his racing car around a racing track of 4,2 km in a time of 1 min and 15,6 sec.
3.1 Calculate his average speed on this occasion in m / s and in km / h.
3.2 Calculate the time that a stopwatch will show if the car goes round the 4,2 km track at an average speed of 240 km / h.
Note:

Another kind of speed that is often used in technology and science is rotation speed. Objects like wheels and gears rotate around their axes at speeds measured in units such as revolutions per minute (r.p.m. or (r)/(m) ).
Instead of the formula S=(D)/(T), we now use the formula S=(R)/(T), where R represents the number of revolutions made by a revolving object in a time period T.
For example: If the pedal of a bicycle makes 1000 revolutions in 10 minutes its rotation speed is S=(1000)/(10)=100 r.p.m.
4.1 How many revolutions does a merry-go-round make during 6,5 min if its average rotation speed is 2,4 r.p.m.?
4.2 A top-loading washing machine spins at 600 rpm . A front loading machine spins at 1400 rpm . If both machines take 45 minutes to complete a wash, end of the wash?
4.3 Calculate the rotation speed in it completes 10 revolutions in 4 seconds.
30
Chapter 1: Numbers a

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