Reach Full Speed!

Algebra Level 4

Carlos ran a race at a competition. The course was measured at \({1000\text{ m}}\) correct to two significant figures and his time was given as \({156\text{ s}}\) correct to the nearest second. If the difference between his maximum and minimum possible average speed can be expressed as \(\frac{a}{b}\text{ m/s}\), where \(a\) and \(b\) are positive integers, find \(a+b\).

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