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      Question

      John cycles to the gym at 10 km/h and returns at 8 km/h.

      He spends a total of 4 hours and 30 minutes traveling. What is the distance between his home and the gym?
      A 20 km Correct Answer Incorrect Answer
      B 15 km Correct Answer Incorrect Answer
      C 18 km Correct Answer Incorrect Answer
      D 35 km Correct Answer Incorrect Answer

      Solution

      ATQ, Total time = 4.5 hours Equation = d/10 + d/8 = 4.5 Common denominator = 40, so (4d + 5d)/40 = 4.5 Combine terms = 9d/40 = 4.5 Solve for d = d = 4.5 Γ— 40/9 = 20 km

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