Multiple choice

Josh is an avid cyclist training for an upcoming marathon. He starts his training by cycling from his home to a nearby town at a speed of 15 miles per hour. On the way back by the same route, he reduces his speed to 10 miles per hour due to an uphill climb. The entire round trip takes him 2.5 hours. What is the distance between Josh's home and the nearby town?

  1. 10 miles

  2. 12 miles

  3. 15 miles

  4. 20 miles

  5. 25 miles
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let d be the distance. The total time is d/15 + d/10 = 2.5. Multiplying by 30 gives 2d + 3d = 75, so 5d = 75, which means d = 15 miles.

AI explanation

Let the one-way distance be d miles, so the total time for the round trip is the sum of the time taken for each leg: (d/15) + (d/10). Setting this equal to the total time of 2.5 hours gives the equation (d/15) + (d/10) = 2.5. Finding a common denominator yields (2d + 3d)/30 = 2.5, which simplifies to 5d/30 = 2.5. Solving for d gives d = (2.5 * 30) / 5 = 15 miles.

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