Multiple choice

A truck takes 12 hours to travel a certain distance. If its speed is increased by 10 km/hr, it will take 8 hours to travel the same distance. What is the distance?

  1. 200 km

  2. 250 km

  3. 300 km

  4. 240 km

  5. Na
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D and speed be S. Then D = 12S. With speed S+10, D = 8(S+10). Setting them equal, 12S = 8S + 80, so 4S = 80, S = 20 km/hr. Distance = 12 * 20 = 240 km.

AI explanation

Let the original speed of the truck be v km/hr; using the distance formula, distance equals speed multiplied by time. We can write the equation 12v = 8(v + 10) because the distance remains constant. Solving this gives 12v = 8v + 80, meaning 4v = 80 and v = 20 km/hr. The distance is therefore 12 multiplied by 20, which is 240 km.

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