Sure! Let's break down each part of the question step-by-step:
### a) A coach drives 360 miles at a speed of 60 mph.
To find out how long the journey takes, we need to use the formula for time, which is given by:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Here, the distance is 360 miles and the speed is 60 mph. Therefore:
[tex]\[ \text{Time} = \frac{360 \text{ miles}}{60 \text{ mph}} \][/tex]
[tex]\[ \text{Time} = 6 \text{ hours} \][/tex]
So, the journey takes 6 hours.
### b) A plane flies 1640 miles in 4 hours.
To find the average speed of the plane, we use the formula for speed, which is given by:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]
Here, the distance is 1640 miles and the time is 4 hours. Therefore:
[tex]\[ \text{Speed} = \frac{1640 \text{ miles}}{4 \text{ hours}} \][/tex]
[tex]\[ \text{Speed} = 410 \text{ mph} \][/tex]
So, the average speed of the plane is 410 mph.
### c) A bus drives for 3½ hours at an average speed of 56 mph.
To find out how far the bus drives, we use the formula for distance, which is given by:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Here, the speed is 56 mph and the time is 3½ hours, which can also be written as 3.5 hours. Therefore:
[tex]\[ \text{Distance} = 56 \text{ mph} \times 3.5 \text{ hours} \][/tex]
[tex]\[ \text{Distance} = 196 \text{ miles} \][/tex]
So, the bus drives 196 miles.
In summary:
- The coach journey takes 6 hours.
- The average speed of the plane is 410 mph.
- The bus drives 196 miles.
