Question

1. a middle distance athlete runs at an average speed of 4 metres per second. how long will it take her to run a 3000 metre race at the same pace?

Explanation:

Step1: Recall the formula for time

The formula relating speed (\(v\)), distance (\(d\)) and time (\(t\)) is \(t=\frac{d}{v}\). Here, the speed \(v = 4\) metres per second and the distance \(d=3000\) metres.

Step2: Substitute the values into the formula

Substitute \(d = 3000\) and \(v = 4\) into the formula \(t=\frac{d}{v}\). So \(t=\frac{3000}{4}\).

Step3: Calculate the result

\(\frac{3000}{4}=750\) seconds. If we want to convert it to minutes, since 1 minute = 60 seconds, \(750\div60 = 12.5\) minutes. But the question just asks for the time taken, and in seconds it is 750, or in minutes 12.5. But following the calculation from the formula, \(t=\frac{3000}{4}=750\) seconds (or 12.5 minutes).

Answer:

It will take her 750 seconds (or 12.5 minutes). The calculation is based on the formula \(t=\frac{d}{v}\) where \(d = 3000\) m and \(v=4\) m/s, so \(t=\frac{3000}{4}=750\) s.