Question

A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10 m/s and the remainder at 50 m/s. How far does she travel at each speed. solve by forming simultaneous equation

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Answer 1

150 m at 10 m/s

350 m at 50 m/s

Explanation:

x + y = 500

x/10 + y/50 = 22

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x + y = 500

5x + y = 1100

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x + y = 500

-5x - y = -1100

-4x = -600

x = 150

y = 350