A model boat travels at 20 cm per second. How many meters will the boat travel in 2 minutes?
Answer (2)
Convert 2 minutes to 120 seconds: 2 × 60 = 120 .
Calculate the distance in centimeters: 20 × 120 = 2400 cm.
Convert centimeters to meters: 100 2400 = 24 meters.
The model boat travels 24 meters.
Explanation
Convert time to seconds We are given that a model boat travels at a speed of 20 cm per second. We need to find out how many meters the boat travels in 2 minutes. First, we need to convert the time from minutes to seconds. Since there are 60 seconds in a minute, 2 minutes is equal to 2 × 60 = 120 seconds.
Calculate distance in centimeters Next, we calculate the total distance traveled in centimeters. The boat travels at 20 cm per second, and it travels for 120 seconds. So, the total distance in centimeters is 20 cm/second × 120 seconds = 2400 cm .
Convert distance to meters Finally, we need to convert the distance from centimeters to meters. Since there are 100 centimeters in a meter, we divide the distance in centimeters by 100 to get the distance in meters: 100 cm/meter 2400 cm = 24 meters .
Final Answer Therefore, the model boat travels 24 meters in 2 minutes.
Examples
Imagine you are building a miniature railway and need to calculate how far your model train will travel in a given time. Knowing the speed of the train and the duration of its journey, you can use these calculations to determine the length of track needed. This is also applicable in robotics, where you might need to calculate the distance a robot covers based on its speed and operational time. Understanding these relationships helps in planning and executing tasks efficiently in various real-world scenarios.
In 2 minutes, the model boat travels a total distance of 24 meters. This is calculated by first converting minutes to seconds, then finding the distance in centimeters before converting it to meters. The final distance traveled is 24 meters.
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