Riley finished her 5k race in One-half hour. Darby finished the same race in Three-fifths hour. Which statement explains which girl had a better result?

Riley did better than Darby because One-half > Three-fifths.
Riley did better than Darby because One-half < Three-fifths.
Darby did better than Riley because One-half > Three-fifths.
Darby did better than Riley because One-half < Three-fifths.

1 answer

To compare the results of Riley and Darby, we need to convert the fractions to a common format or decimal.

  1. Riley finished in One-half hour: \[ \frac{1}{2} = 0.5 \text{ hours} \]

  2. Darby finished in Three-fifths hour: \[ \frac{3}{5} = 0.6 \text{ hours} \]

Now we can compare their finishing times:

  • Riley: 0.5 hours
  • Darby: 0.6 hours

Since 0.5 < 0.6, it means Riley finished the race faster than Darby.

Therefore, the correct statement is: Riley did better than Darby because One-half < Three-fifths.