Question: User: A plane flew 216 miles from Bristol airport to Leeds Bradford airport.
It had an average speed of 162 mph and arrived at 18:15
Work out what time the plane left Bristol airport.
Give your answer using the 24 hour clock.
1. **State the problem:**
We need to find the departure time of a plane that flew 216 miles at an average speed of 162 mph and arrived at 18:15.
2. **Formula used:**
Time = Distance \div Speed
3. **Calculate the time taken for the flight:**
$$\text{Time} = \frac{216}{162}$$
4. **Simplify the fraction:**
$$\frac{216}{162} = \frac{\cancel{54} \times 4}{\cancel{54} \times 3} = \frac{4}{3}$$
5. **Convert time to hours and minutes:**
$$\frac{4}{3} \text{ hours} = 1 \text{ hour and } \frac{1}{3} \times 60 \text{ minutes} = 1 \text{ hour and } 20 \text{ minutes}$$
6. **Calculate the departure time:**
The plane arrived at 18:15, so subtract the flight time:
$$18:15 - 1:20 = 16:55$$
7. **Final answer:**
The plane left Bristol airport at **16:55** (24-hour clock).