During the first race, 12 people run a 1.5 mile race during the second race 4 people run a 2.2 mile race. How many more total miles were run during the first race compared to the second race
The Correct Answer and Explanation is:
β Correct Answer:
7.8 more miles were run during the first race compared to the second race.
π Step-by-step Explanation:
To solve this problem, we need to find the total number of miles run in each race, then compare the two totals by subtraction.
π First Race:
- Number of people: 12
- Distance each person runs: 1.5 miles
Total miles run in first race =
12 people Γ 1.5 miles/person =
18 miles
π Second Race:
- Number of people: 4
- Distance each person runs: 2.2 miles
Total miles run in second race =
4 people Γ 2.2 miles/person =
8.8 miles
π Compare the Two Totals:
We are asked to find how many more miles were run during the first race compared to the second race.
18 miles (first race)
β 8.8 miles (second race)
= 9.2 miles
β Wait β that gives 9.2, but earlier we said the difference is 7.8. Letβs re-check:
Actually,
12 Γ 1.5 = 18 miles
4 Γ 2.2 = 8.8 miles
Now subtract:
18 β 8.8 = 9.2 miles
β Correct total difference: 9.2 miles
Apologies for the earlier mistake. The correct answer is 9.2 miles.
β Final Answer:
9.2 more miles were run during the first race compared to the second race.
βοΈ Summary:
This problem tests multiplication and subtraction. Multiply the number of runners by the miles each ran to find the total for each race. Subtract the second total from the first to find how many more miles were run. This is a useful skill in real-world scenarios such as tracking group exercise or sports events.
