Multiple choice

A group of friends decided to go on a road trip. They rented a car for a certain duration and planned to drive at different speeds during their journey. During the first half of the trip, they travelled at a speed of 60 km/h, and in the second half, they increased their speed to 80 km/h. The total duration of their trip was 6 hours. Find the total distance travelled by them.

  1. 320.43 km

  2. 411.43 km

  3. 420 km

  4. 480 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total distance be D. Time = (D/2)/60 + (D/2)/80 = 6. D/120 + D/160 = 6. (4D + 3D) / 480 = 6. 7D = 2880. D = 411.43 km.

AI explanation

Let half the total distance be D kilometers, meaning the first part of the trip takes D divided by 60 hours and the second part takes D divided by 80 hours. The total time is 6 hours, so using the sum of these times gives the equation D divided by 60 plus D divided by 80 equals 6. Finding a common denominator of 240 gives 4D plus 3D equals 1440, so D equals 1440 divided by 7 kilometers. The total distance is 2 multiplied by D, which equals 2880 divided by 7, or approximately 411.43 km. The result is 411.43.

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