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Answer :
Sure! Let's break down the solution step by step.
### Part 1: Swimming across the lake
1. Lake Width and Swimming Speed:
- The lake is 900 meters wide.
- You swim at a speed of 1.5 meters per second.
2. Calculate the Time to Swim Across:
- To find out how long it will take to swim across, we need to use the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
So in this case:
[tex]\[
\text{Time} = \frac{900 \ \text{meters}}{1.5 \ \text{meters/second}} = 600 \ \text{seconds}
\][/tex]
### Part 2: Running for 10 minutes
1. Running Duration and Speed:
- You run for 10 minutes. First, we convert this into seconds:
[tex]\[
10 \ \text{minutes} \times 60 \ \text{seconds/minute} = 600 \ \text{seconds}
\][/tex]
- You run at a speed of 2 meters per second.
2. Calculate the Distance Traveled while Running:
- To find out how far you will travel, we use the formula:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
So in this case:
[tex]\[
\text{Distance} = 2 \ \text{meters/second} \times 600 \ \text{seconds} = 1200 \ \text{meters}
\][/tex]
### Summary
- It will take you 600 seconds (or 10 minutes) to swim across the lake.
- You will travel 1200 meters if you run for 10 minutes at 2 meters per second.
I hope this helps to clarify how to solve the problem step by step! If you have any other questions, feel free to ask.
### Part 1: Swimming across the lake
1. Lake Width and Swimming Speed:
- The lake is 900 meters wide.
- You swim at a speed of 1.5 meters per second.
2. Calculate the Time to Swim Across:
- To find out how long it will take to swim across, we need to use the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
So in this case:
[tex]\[
\text{Time} = \frac{900 \ \text{meters}}{1.5 \ \text{meters/second}} = 600 \ \text{seconds}
\][/tex]
### Part 2: Running for 10 minutes
1. Running Duration and Speed:
- You run for 10 minutes. First, we convert this into seconds:
[tex]\[
10 \ \text{minutes} \times 60 \ \text{seconds/minute} = 600 \ \text{seconds}
\][/tex]
- You run at a speed of 2 meters per second.
2. Calculate the Distance Traveled while Running:
- To find out how far you will travel, we use the formula:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
So in this case:
[tex]\[
\text{Distance} = 2 \ \text{meters/second} \times 600 \ \text{seconds} = 1200 \ \text{meters}
\][/tex]
### Summary
- It will take you 600 seconds (or 10 minutes) to swim across the lake.
- You will travel 1200 meters if you run for 10 minutes at 2 meters per second.
I hope this helps to clarify how to solve the problem step by step! If you have any other questions, feel free to ask.
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