Question

Amy finished 3/5 of the race in 6 hours. How many hours did it take for Amy to finish the race?

Option 1: 10 hours
Option 2: 8 hours
Option 3: 7.2 hours
Option 4: 5.4 hours

Answer 1

Amy completed 3/5 of the race in 6 hours, and by setting up a proportion and solving for the total race time, we find out that Amy would finish the race in 10 hours. The correct answer is Option 1: 10 hours.

Step-by-step explanation:

The student has asked how many hours it will take Amy to finish the race, given that she completed 3/5 of the race in 6 hours. To find the total time it took Amy to finish the race, we can set up a proportion. Since 3/5 of the race took her 6 hours, we can assume that completing the whole race (which is 5/5 or 1) would take her a certain number of hours which we will call x.

<3/5> = 6 hours
<5/5> = x hours

To find x, we multiply both sides by the reciprocal of 3/5, which is 5/3:

x hours = 6 hours * <5/3>
x hours = <10 hours>

So, Amy will complete the race in 10 hours which matches Option 1.