Number And Algebra - Chapter 7 Applying Ratios And Rates - Nelson Think Math Page 5
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Applying ratios and rates
Example
3
Change 15 m/s to km/h.
Solution
15 m
Write the speed as a division.
15 m/s ¼
1 s
15 4 1000 km
Change to kilometres and hours.
¼
1 4 60 4 60 h
15 3 60 3 60
Invert division to get multiplication.
¼
km/h
1 3 1000
Use your calculator.
¼ 54 km/h
Example
4
Animated example
A bus travels at a speed of 85 km/h.
Rates: triangle method
a
How far will the bus travel in 7 hours?
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b
How long will it take the bus to travel 380 km?
Worksheet
Solution
Speed
a
Draw the triangle.
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Distance
Speed
Time
Write the equation.
Distance ¼ speed 3 time
Substitute values.
¼ 85 km/h 3 7 h
Perform the calculation.
¼ 595 km
distance
b
Use the triangle to write the equation.
Time ¼
speed
380 km
Substitute values.
¼
85 km/h
Perform the calculation.
4.47 h
Change to hours and minutes.
4 h 28 min
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