Question

The distance around the lake is 0.75 mile. Derek ran 0.8 of the distance on Saturday. How far did he run? Show your work.

a) 0.6 miles
b) 0.65 miles
c) 0.72 miles
d) 0.8 miles

Answer 1

To find the distance Derek ran around the lake, we multiplied the total lake distance (0.75 miles) by the fraction he covered (0.8). The calculation, 0.75 miles × 0.8, yields 0.6 miles. Hence, Derek ran 0.6 miles on Saturday, covering 80% of the lake's total distance.

Step-by-step explanation:

The distance Derek ran around the lake can be found by multiplying the total distance of the lake by the fraction of the distance he ran. The lake's distance is 0.75 miles, and Derek ran 0.8 of this distance. To calculate the actual distance Derek ran, we use the following multiplication: 0.75 miles × 0.8 = 0.6 miles. Therefore, Derek ran 0.6 miles on Saturday. Therefore, on Saturday, Derek covered a distance of 0.6 miles around the lake, reflecting 80% of the lake's total distance.