Calculating the Time for a Log Boat to Travel a Given Distance
Understanding the relationship between speed, distance, and time is a fundamental concept in physics and everyday life. In this article, we'll explore how to determine the time it takes for a log boat to travel a certain distance, using the example where a log boat travels about 4 km in one hour to determine how long it will take to cover 10 km.
Step-by-Step Calculation
To solve this problem, we need to use the basic formula for speed, distance, and time:
Speed (s) Distance (d) / Time (t)
Let's break it down into steps:
Step 1: Determine the Speed of the Log Boat
Given that the log boat travels 4 km in 1 hour, we can calculate the speed as follows:
Speed (s) 4 km / 1 hour 4 km/h
Step 2: Determine the Time to Travel 10 km
Now, we need to find out how long it will take for the log boat to travel 10 km. Using the same formula, we can rearrange it to solve for time:
Time (t) Distance (d) / Speed (s)
Time (t) 10 km / 4 km/h 2.5 hours
So, it will take the log boat 2.5 hours to travel 10 km.
Additional Calculations for Verification
To verify our calculation, let's perform additional steps:
Using Unitary Method: 1 km in 4 km/h 1/4 hour 10 km in 4 km/h (10 * 1/4) hours 2.5 hours Converting to Hours and Minutes: 2.5 hours 2 hours 30 minutesTherefore, the log boat will take 2.5 hours or 2 hours 30 minutes to travel 10 km, confirming our initial calculation.
Conclusion
Understanding how to calculate time for a given distance is crucial for various applications, from navigation to transportation. By using the basic formula for speed, distance, and time, we can solve a wide range of problems involving different distances and speeds.