Answer :
Sure! Let's go through each part of the question step by step:
Question 15: Find the speed of a car that travels 80 miles in 5 hours.
To find the speed, we use the formula:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]
Here, the distance traveled is 80 miles and the time taken is 5 hours.
So, the speed of the car is:
[tex]\[ \text{Speed} = \frac{80 \, \text{miles}}{5 \, \text{hours}} = 16 \, \text{miles per hour (mph)} \][/tex]
Question 16: How far would a boat travel if it left at 11am and returned at 2pm while averaging 35 meters per second?
First, determine the total time of travel:
- The boat travels from 11am to 2pm.
- This is a duration of 3 hours.
Since we need to calculate in seconds (as speed is given in meters per second), convert hours to seconds:
- 1 hour = 3600 seconds
- 3 hours = 3 × 3600 = 10800 seconds
Now, use the formula for distance:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given that the speed of the boat is 35 meters per second:
[tex]\[ \text{Distance} = 35 \, \text{m/s} \times 10800 \, \text{seconds} = 378,000 \, \text{meters} \][/tex]
Question 17: The distance from A to B is 12.5km. How long would it take to travel between the points if you averaged 2.5 km/h?
To find the time, use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Here, the distance is 12.5 kilometers and the speed is 2.5 kilometers per hour.
So, the time taken is:
[tex]\[ \text{Time} = \frac{12.5 \, \text{km}}{2.5 \, \text{km/h}} = 5 \, \text{hours} \][/tex]
These calculations provide us with the final results:
- Speed of the car: 16 mph
- Distance traveled by the boat: 378,000 meters
- Time to travel from A to B: 5 hours
Question 15: Find the speed of a car that travels 80 miles in 5 hours.
To find the speed, we use the formula:
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]
Here, the distance traveled is 80 miles and the time taken is 5 hours.
So, the speed of the car is:
[tex]\[ \text{Speed} = \frac{80 \, \text{miles}}{5 \, \text{hours}} = 16 \, \text{miles per hour (mph)} \][/tex]
Question 16: How far would a boat travel if it left at 11am and returned at 2pm while averaging 35 meters per second?
First, determine the total time of travel:
- The boat travels from 11am to 2pm.
- This is a duration of 3 hours.
Since we need to calculate in seconds (as speed is given in meters per second), convert hours to seconds:
- 1 hour = 3600 seconds
- 3 hours = 3 × 3600 = 10800 seconds
Now, use the formula for distance:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given that the speed of the boat is 35 meters per second:
[tex]\[ \text{Distance} = 35 \, \text{m/s} \times 10800 \, \text{seconds} = 378,000 \, \text{meters} \][/tex]
Question 17: The distance from A to B is 12.5km. How long would it take to travel between the points if you averaged 2.5 km/h?
To find the time, use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
Here, the distance is 12.5 kilometers and the speed is 2.5 kilometers per hour.
So, the time taken is:
[tex]\[ \text{Time} = \frac{12.5 \, \text{km}}{2.5 \, \text{km/h}} = 5 \, \text{hours} \][/tex]
These calculations provide us with the final results:
- Speed of the car: 16 mph
- Distance traveled by the boat: 378,000 meters
- Time to travel from A to B: 5 hours
