The distance from Sarah’s house to Peter’s house is 230 miles measured to the nearest 10 miles.

The distance from Sarah’s house to Peter’s house is 230 miles measured to the nearest 10 miles. Sarah took exactly 4 hours to complete this journey. Sarah says: “My average speed was 60 mph for the journey to Peter’s house” Is Sarah correct? You must explain your answer

The distance separating Sarah’s residence from Peter’s residence is approximately 230 miles, rounded to the nearest ten miles. Sarah undertook this journey in a precise duration of four hours. She claims that her average speed during the trip to Peter’s house was 60 miles per hour. To determine the accuracy of Sarah’s assertion, it is essential to analyze the relationship between distance, time, and speed.

To calculate the average speed, one can use the formula: speed equals distance divided by time. In this case, if the distance is 230 miles and the time taken is 4 hours, the average speed can be computed as follows: 230 miles divided by 4 hours results in an average speed of 57.5 miles per hour. This figure indicates that Sarah’s average speed was actually lower than the 60 miles per hour she claimed. Therefore, her statement regarding her average speed is incorrect.

In the context of GCSE Maths February Revision, understanding the fundamental principles of speed, distance, and time is crucial. This example illustrates the importance of accurately applying mathematical formulas to real-life scenarios. By recognizing the discrepancy between the calculated average speed and Sarah’s assertion, one can appreciate the necessity of precise measurements and calculations in mathematical problem-solving.