A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average...

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A cyclist rides a bicycle km at an average speed of km / hr and again travels km at an average speed of km / hr. What is the average speed for the entire trip?

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Calculated Answer

7.9865771812081

Step by Step Solution

In order to solve problem, you must evaluate (n₀ + n₁) / (n₀ / n₁ + n₁ / n₀).

• (n₀ + n₁) / (n₀ / n₁ + n₁ / n₀)

• Evaluate n₀ + n₁ = 17

  17 / (n₀ / n₁ + n₁ / n₀)

• Evaluate n₀ / n₁ = 0.7

  17 / (0.7 + n₁ / n₀)

• Evaluate n₁ / n₀ = 1.4285714285714

  17 / (0.7 + 1.4285714285714)

• Evaluate 0.7 + 1.4285714285714 = 2.1285714285714

  17 / 2.1285714285714

• Evaluate 17 / 2.1285714285714 = 7.9865771812081

  7.9865771812081
• The answer to the problem and the result of (n₀ + n₁) / (n₀ / n₁ + n₁ / n₀) is 7.9865771812081