Multiple choice

During one month, Aisha swam s miles at a speed of 3 miles per hour and hiked h miles at a speed of 6 miles per hour. She swam and hiked a total of 90 miles that month, and she spent twice as much time hiking as she did swimming. What is the total number of miles Aisha hiked during the month?

  1. 30

  2. 45

  3. 60

  4. 72
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Ts be time swimming, Th be time hiking. Ts = s/3, Th = h/6. Total distance s+h = 90. Th = 2 * Ts => h/6 = 2 * (s/3) => h/6 = 2s/3 => h = 4s. Substitute into s+h=90: s+4s=90 => 5s=90 => s=18. Then h=72.

AI explanation

Let the swimming time be t hours; the hiking time is 2t hours, giving the distance equation 3t + 6(2t) = 90. Simplifying this yields 3t + 12t = 90, so 15t equals 90 and t is 6. The distance hiked is 6 multiplied by 2t, which is 6 times 12, resulting in 72 miles.

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