Question

Helen runs 4/5 of a mile in the same time that it takes Zoe to run 2/3 mile.if Helen runs one mile,how far was Zoe able to run

Answer 1

Zoe can run 5/6 of a mile in the same amount of time that Helen runs one mile.

Step-by-step explanation:

Given that Helen runs 4/5 of a mile in the same time it takes Zoe to run 2/3 of a mile, we can assume that they run at constant speeds and their speeds are proportional to the distances they cover. Hence, if Helen runs 1 mile (which is 5/5 of a mile), we need to find out how far Zoe can run at the same time. To solve this, we can set up a proportion as follows:

1. Helen's distance: Zoe's distance = 4/5:2/3
2. To find out the distance for Zoe when Helen runs 1 mile, we set it as Helen's distance: Zoe's distance = 1 (5/5): x
3. Solve for x using cross-multiplication: (4/5) / (2/3) = (1) / x
4. After cross-multiplication, we get: (4/5)*(3/2) = 1 / x
5. Multiply to simplify the relation: (4*3) / (5*2) = 1 / x
6. x = (5*2) / (4*3)
7. x = 10 / 12
8. x = 5 / 6

Therefore, Zoe can run 5/6 of a mile at the same time that Helen runs one mile.

Answer 2

It wud be 5/6 . divide 4/5 by 2/3. Its like doing a conversion.