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Answer :
Sure! Let's solve the given problems step-by-step:
### 1. Calculating the Average Speed of a Car:
To find the average speed, we use the formula:
[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \][/tex]
- Total Distance: 12 kilometers
- Total Time: 2 hours
Now, plug in the numbers:
[tex]\[ \text{Average Speed} = \frac{12 \text{ km}}{2 \text{ hours}} = 6 \text{ km/h} \][/tex]
So, the average speed of the car stuck in traffic is 6 km/h.
### 2. Calculating the Time to Swim Across a Lake:
To find the time it takes to swim across a lake, we use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
- Distance Across the Lake: 900 meters
- Swimming Speed: 1.5 meters per second
Now, plug in the numbers:
[tex]\[ \text{Time} = \frac{900 \text{ meters}}{1.5 \text{ meters/second}} = 600 \text{ seconds} \][/tex]
So, it would take 600 seconds to swim across a lake that is 900 meters wide if you swim at a speed of 1.5 meters per second.
I hope this helps! Let me know if you have any more questions.
### 1. Calculating the Average Speed of a Car:
To find the average speed, we use the formula:
[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \][/tex]
- Total Distance: 12 kilometers
- Total Time: 2 hours
Now, plug in the numbers:
[tex]\[ \text{Average Speed} = \frac{12 \text{ km}}{2 \text{ hours}} = 6 \text{ km/h} \][/tex]
So, the average speed of the car stuck in traffic is 6 km/h.
### 2. Calculating the Time to Swim Across a Lake:
To find the time it takes to swim across a lake, we use the formula:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]
- Distance Across the Lake: 900 meters
- Swimming Speed: 1.5 meters per second
Now, plug in the numbers:
[tex]\[ \text{Time} = \frac{900 \text{ meters}}{1.5 \text{ meters/second}} = 600 \text{ seconds} \][/tex]
So, it would take 600 seconds to swim across a lake that is 900 meters wide if you swim at a speed of 1.5 meters per second.
I hope this helps! Let me know if you have any more questions.
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