Pupils travelled to the Football Competition Final and returned to the school by coach. A one
way journey was 160 kilometres long.
Let 1 kilometre be equal to 5
8
of a mile.
How many miles did the coach travel that day with the pupils?

To solve this problem, we need to determine how many miles the coach traveled in total, given that the distance of one journey is 160 kilometers and 1 kilometer is equivalent to \( \frac{5}{8} \) of a mile.

### Step 1: Calculate the one-way journey in miles
We know:
\[
1 \text{ kilometer} = \frac{5}{8} \text{ miles}
\]
Thus, the one-way journey in miles is:
\[
160 \text{ kilometers} \times \frac{5}{8} \text{ miles per kilometer}
\]

\[
= 160 \times \frac{5}{8} \text{ miles}
\]

\[
= 160 \times 0.625 \text{ miles}
\]

\[
= 100 \text{ miles}
\]

### Step 2: Calculate the total round-trip distance in miles
The coach traveled to the competition and then returned, making it a round-trip. Therefore, the total distance is:
\[
100 \text{ miles (one-way)} \times 2 = 200 \text{ miles}
\]

### Final Answer:
The coach traveled **200 miles** that day with the pupils.

Would you like any further details or have any questions?

### Related Questions:
1. If the return journey was 10% longer due to traffic, how many total miles would the coach have traveled?
2. What would be the total distance in kilometers if the competition was 200 kilometers away?
3. How would the answer change if 1 kilometer were equal to 0.6 miles instead of \( \frac{5}{8} \)?
4. If the coach traveled at an average speed of 80 km/h, how long did each one-way journey take?
5. What would be the difference in total distance if the journey was measured in nautical miles instead of regular miles?

### Tip:
When converting between units, it's always helpful to set up your conversion factor first and ensure that your units cancel out correctly, leading you to the desired unit in the final answer.

Pupils travelled to the Football Competition Final and returned to the school by coach. A one-way journey was 160 kilometres long. Let 1 kilometre be equal to 5/8 of a mile. How many miles did the coach travel that day with the pupils?

Determine the total distance traveled by a coach in miles, given that one-way travel is 160 kilometers and 1 kilometer equals 5/8 of a mile. This problem covers unit conversion and distance calculation, suitable for students in Grades 6-8.

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