Speed, Time, and Distance Calculation for Car's Journey

Motion, Time, and a Car's Journey

When we explore the fascinating world of motion and time, we often encounter questions related to a car's speed and total distance covered. Let's apply our knowledge to a specific scenario where a car moves at two different speeds and then determine the total distance covered in a given time frame.

Speed and Time

A car moves with a speed of 40 km/h for 15 minutes and then with a speed of 60 km/h for the next 15 minutes. To find the total distance covered, we'll first calculate the distance covered during each segment and then add the two distances together.

Segment 1: The car moves at 40 km/h for 15 minutes:

1. Convert minutes to hours: 15 minutes = 15/60 = 0.25 hours
2. Find distance: Distance = Speed * Time => Distance = 40 km/h * 0.25 h = 10 km

Segment 2: The car moves at 60 km/h for 15 minutes:

1. Convert minutes to hours: 15 minutes = 15/60 = 0.25 hours
2. Find distance: Distance = Speed * Time => Distance = 60 km/h * 0.25 h = 15 km

Total Distance

Now that we have the distance covered during each segment, we can add them together to find the total distance covered by the car:

Total Distance = Distance (Segment 1) + Distance (Segment 2) => Total Distance = 10 km + 15 km = 25 km

In conclusion, the car moves a total distance of 25 kilometers during the 30 minutes of travel at varying speeds. This provides a solid example demonstrating how to use the concepts of speed, time, and distance to answer real-world problems.