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Mathematics

A car takes 6 hours to reach a destination by travelling at the speed of 50 km per hour. How long will it take when the car travels at the speed of 75 km per hour?

Direct & Inverse Variations

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Answer

Let the car take x hours at the speed of 75 km per hour.

Time (in hr)Speed
650
x75

Since it is a case of inverse variation,

∴6×50=x×75⇒300=75x⇒x=30075⇒x=4\therefore 6 \times 50 = x \times 75\\[1em] \Rightarrow 300 = 75x\\[1em] \Rightarrow x = \dfrac{300}{75}\\[1em] \Rightarrow x = 4

Hence, the car takes 4 hours at the speed of 75 km per hour.

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