SAT Math

Category - Number and Operations

John drives at an average speed of 80 km/h and travels the distance from home to work in 30 minutes. What must his average speed be if John wants to travel the same distance in 20 minutes?
  1. 60
  2. 90
  3. 100
  4. 110
  5. 120
Explanation
Answer: E - The speed must be 120 km/h if John wants to travel the same distance in 20 minutes. Speed and time are inversely proportional; when the speed increases, the time decreases.

80:x = 20:30
20x = 80×30
x = (80×30)/20 = 120
Therefore, John must drive 120 km/h to travel the same distance in 20 minutes.
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