Inverse Quantity Math Example 3

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Example 3

easy
At 6060 km/h a trip takes 44 hours. How long does the same trip take at 8080 km/h?

Solution

  1. 1
    Distance =60×4=240= 60 \times 4 = 240 km (constant).
  2. 2
    Time at 8080 km/h: t=24080=3t = \dfrac{240}{80} = 3 hours.

Answer

The trip takes 33 hours at 8080 km/h.
Speed and time are inversely proportional when distance is fixed. Their product equals the constant distance. Increasing speed by a factor decreases time by the same factor.

About Inverse Quantity

The reciprocal or multiplicative inverse of a quantity, where multiplying a number by its inverse yields one. Inverse quantities appear whenever two measurements are inversely related, so that doubling one halves the other.

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More Inverse Quantity Examples

Example 1 easy

If [formula] workers can complete a job in [formula] days, how many days will it take [formula] work

Example 2 medium

The pressure [formula] of a gas varies inversely with its volume [formula] at constant temperature (

Example 4 medium

Variables [formula] and [formula] are inversely proportional. When [formula], [formula]. Find [formu

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