Answer :
Let's solve each of these problems step by step:
What distance does an airplane travel, flying at 400 mph for ten hours?
To find the distance traveled, use the formula:
[tex]\text{Distance} = \text{Speed} \times \text{Time}[/tex]
Here, the speed is 400 mph and the time is 10 hours:
[tex]\text{Distance} = 400 \text{ mph} \times 10 \text{ hours} = 4000 \text{ miles}[/tex]
So, the airplane travels 4000 miles.
A train travels 600 km in 4 hours. What is its average speed?
Average speed can be calculated by dividing the total distance by the total time:
[tex]\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}[/tex]
Plug in the values:
[tex]\text{Average Speed} = \frac{600 \text{ km}}{4 \text{ hours}} = 150 \text{ km/h}[/tex]
The train's average speed is 150 km/h.
How long does it take to drive 500 miles, driving at an average speed of 50 mph?
Use the formula for time:
[tex]\text{Time} = \frac{\text{Distance}}{\text{Speed}}[/tex]
Here, the distance is 500 miles and the speed is 50 mph:
[tex]\text{Time} = \frac{500 \text{ miles}}{50 \text{ mph}} = 10 \text{ hours}[/tex]
It takes 10 hours to drive 500 miles.
A ferry left port at 17:00 and sailed at a steady speed of 20 mph. How far out to sea is the ferry at 20:00?
The time from 17:00 to 20:00 is 3 hours.
[tex]\text{Distance} = \text{Speed} \times \text{Time}[/tex]
[tex]\text{Distance} = 20 \text{ mph} \times 3 \text{ hours} = 60 \text{ miles}[/tex]
The ferry is 60 miles out to sea.
A mouse can run at 8 mph. How far can it run in 30 minutes?
First, convert 30 minutes to hours by dividing by 60:
[tex]\text{Time in hours} = \frac{30}{60} = 0.5 \text{ hours}[/tex]
Then use the distance formula:
[tex]\text{Distance} = 8 \text{ mph} \times 0.5 \text{ hours} = 4 \text{ miles}[/tex]
The mouse can run 4 miles in 30 minutes.
