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Marianna [84]
4 years ago
6

The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h

more than the car. determine the average speeds of the cyclist and the car.
Mathematics
1 answer:
Bumek [7]4 years ago
6 0
Average speed of cyclist = x
average speed of car = 3x

x = 225/5
x = 45km/h

3x = 3(45)
3x = 135km/h

average speed of cyclist = 45km/h
average speed of car = 135km/h
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Megan:
x to the one third power =  x ^{1/3}
<span>x to the one twelfth power = </span>x ^{1/12}

<span>The quantity of x to the one third power, over x to the one twelfth power is:
</span>\frac{x ^{1/3}}{x ^{1/12}}
<span>
Since </span>\frac{ x^{a} }{ x^{b} } = x ^{a-b}
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Julie:
x times x to the second times x to the fifth = x * x² * x⁵

<span>The thirty second root of the quantity of x times x to the second times x to the fifth is
</span>\sqrt[32]{x* x^{2} * x^{5} }
<span>
Since </span>x^{a}* x^{b}= x^{a+b}
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Since \sqrt[n]{x^{m}} = x^{m/n} }
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Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.
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