Question

1. a vehicle travelled non-stop for 684 miles at an average speed of 60 miles per hour. how long did the vehicle take to complete this journey? you should give your answer in hours and minutes.

Explanation:

Step1: Recall the formula for time

The formula relating distance (\(d\)), speed (\(s\)) and time (\(t\)) is \(t=\frac{d}{s}\). Here, \(d = 684\) miles and \(s=60\) miles per hour.

Step2: Calculate time in hours

Substitute the values into the formula: \(t=\frac{684}{60}=11.4\) hours.

Step3: Convert decimal part to minutes

The decimal part is \(0.4\) hours. Since \(1\) hour \( = 60\) minutes, we multiply \(0.4\) by \(60\): \(0.4\times60 = 24\) minutes.

Step4: Combine hours and minutes

The integer part of \(11.4\) is \(11\) hours, and the decimal part converts to \(24\) minutes.

Answer:

11 hours and 24 minutes