Multiple choice

On a race, Anjali ran $\dfrac {3}{4}$ of the time with a good-luck cabbage, and $\dfrac {1}{4}$ of the time without it. With the cabbage, her running speed was $6$ miles per hour, and her running speed without the cabbage was $12$ miles per hour. The distance that Anjali ran with the cabbage was what fraction of the total distance that she ran?

  1. $0.6$
  2. $0.8$
  3. $0.9$
  4. $0.4$
  5. $0.5$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let T be the total time. Distance with cabbage = (3/4)T * 6 = 4.5T. Distance without cabbage = (1/4)T * 12 = 3T. Total distance = 4.5T + 3T = 7.5T. Fraction = 4.5T / 7.5T = 4.5 / 7.5 = 0.6.

AI explanation

Let the total time Anjali ran be t hours. She ran at 6 miles per hour for 3t/4 hours, covering a distance of 4.5t miles, and at 12 miles per hour for t/4 hours, covering a distance of 3t miles. The total distance she ran is 4.5t + 3t = 7.5t miles. The fraction of the total distance she ran with the cabbage is 4.5t / 7.5t = 0.6.

Keep practicing — related questions