Multiple choice

A car takes 12 hours to travel a certain distance. A bus takes 8 hours moving at a speed 8 km/hr more than the speed of the car to travel the same distance. The distance is

  1. 192 km

  2. 190 km

  3. 182 km

  4. 180 km

  5. 178 km
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A Correct answer
Explanation

Let distance be D and car speed be v. Then D = 12v. The bus speed is v + 8, and it takes 8 hours, so D = 8(v + 8). Equating the two, 12v = 8v + 64, which gives 4v = 64, so v = 16 km/hr. The distance is 12 * 16 = 192 km.

AI explanation

Let the speed of the car be v km/hr, making the speed of the bus (v + 8) km/hr. Since the distance is constant, we use the time and speed formula to write 12v = 8(v + 8). Solving this equation gives 12v = 8v + 64, so 4v = 64 and v = 16 km/hr. The distance travelled is the speed of the car multiplied by its time, which is 16 multiplied by 12, resulting in 192 km.

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