Question

a jet airplane reaches 864. km/h on a certain flight. how long does it take to cover 307. m? set the math up. but dont do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.

Explanation:

Step1: Recall the formula for time

The formula relating distance (\(d\)), speed (\(v\)), and time (\(t\)) is \(t=\frac{d}{v}\).

Step2: Identify the given values

The distance \(d = 307\space m\) and the speed \(v = 864\space km/h\). But we need to convert the units to be consistent. First, convert kilometers to meters: \(864\space km = 864\times1000\space m= 864000\space m\). So the speed \(v = 864000\space m/h\).

Step3: Set up the time expression

Using the formula \(t=\frac{d}{v}\), substitute \(d = 307\space m\) and \(v = 864000\space m/h\) into the formula. So \(t=\frac{307\space m}{864000\space m/h}\).

Answer:

\(\frac{307\space m}{864000\space m/h}\) (or we can also note that if we want to keep the speed in \(km/h\) and distance in \(km\), convert \(307\space m\) to \(km\) first: \(307\space m=\frac{307}{1000}\space km\), then \(t = \frac{\frac{307}{1000}\space km}{864\space km/h}=\frac{307}{1000\times864}\space h\), but the first expression with consistent meter units is also correct as per the problem's request to set up the math expression)