Question

A teacher plans a school trip which includes a 120 miles coach journey in France. As an approximation, 8 kilometres is equal to 5 miles. Using this approximation, how long is the journey in kilometres?

Answer 1

To convert the 120-mile journey to kilometers, the student should recognize that 5 miles correspond to 8 kilometers. A total of 24 sets of 5 miles fit into 120 miles, equating to 192 kilometers for the complete journey.

Step-by-step explanation:

The student is asking how to convert miles to kilometers for a 120-mile journey, using the approximation that 8 kilometers is equal to 5 miles. To find the length of the journey in kilometers, we use the given conversion factor:

1. First, we establish the conversion factor: 5 miles = 8 kilometers.
2. We need to determine how many times 5 goes into 120 to find out how many sets of 8 kilometers we have. This is done by dividing 120 miles by 5 miles, which gives us 24.
3. Now we multiply the number of sets by 8 kilometers to get the total distance in kilometers. So, 24 sets × 8 kilometers per set equals 192 kilometers.

Therefore, the length of the journey is 192 kilometers.