Multiple choice

A drone was used to deliver parcels across a city. It flew a certain distance at a constant speed. If its speed had been 6 km/h faster, it would have taken 2 hours less. If its speed had been 8 km/h slower, it would have taken 8 hours more. What was the distance, in km, that the drone travelled?

  1. 316

  2. 288

  3. 264

  4. 105

  5. a
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D Correct answer
Explanation

Let v be the speed and t be the time. From the given conditions, we set up the equations (v + 6)(t - 2) = vt and (v - 8)(t + 8) = vt, which simplify to v - 3t = -6 and v - t = 8. Solving this system gives t = 7 hours and v = 15 km/h, resulting in a total distance of 15 * 7 = 105 km.

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