Question

1. how long does it take to travel 108 kilometres from manchester to birmingham at an average speed of 48 kilometres per hour?

Explanation:

Step1: Recall the formula for time

The formula relating distance (\(d\)), speed (\(s\)) and time (\(t\)) is \(t=\frac{d}{s}\), where \(d\) is the distance traveled, \(s\) is the speed, and \(t\) is the time taken.

Step2: Substitute the given values

We are given that \(d = 108\) kilometres and \(s=48\) kilometres per hour. Substituting these values into the formula, we get \(t=\frac{108}{48}\).

Step3: Simplify the fraction

Simplify \(\frac{108}{48}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 12. \(\frac{108\div12}{48\div12}=\frac{9}{4} = 2.25\) hours. We can also express \(0.25\) hours in minutes since \(1\) hour \( = 60\) minutes, so \(0.25\times60 = 15\) minutes. So the time is \(2\) hours and \(15\) minutes or \(2.25\) hours.

Answer:

\(2.25\) hours (or \(2\) hours and \(15\) minutes)