Question

A car travels the 200 miles along the M1 from London to Leeds. The car leaves London at 8am and travels at a constant speed of 60mph for the first 60 miles. The driver takes a break of 30mins at a motorway services before continuing the journey at a constant speed of 70mph a) Draw a distance-time graph of the journey

Answer 1

The distance-time graph of the journey would be as follows:

From 8am to 8:01am, the car travels 0 miles (at 8am, it leaves London)

From 8:01am to 9:01am, the car travels 60 miles (at a constant speed of 60mph)

From 9:01am to 9:31am, the car travels 0 miles (the driver takes a break of 30mins)

From 9:31am to 12:51pm, the car travels 140 miles (at a constant speed of 70mph)

The graph would be a line with a slope of 60 for the first hour, a flat line for the 30 minutes break, and then a line with a slope of 70 for 2 hours and 20 minutes.

Note: Since we don't have a time-scale and time unit, this graph is just a representation of the pattern of the journey, and the actual values are not accurate.