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Mathematics

A car travels 28312283\dfrac{1}{2} km in 4234\dfrac{2}{3} hours. How far does it go in 1 hour?

Fractions

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Answer

Given, total distance = 28312283\dfrac{1}{2} km

Total time = 4234\dfrac{2}{3} hours

Let x be the distance covered in 1 hour.

By formula,

Distance covered in 1 hour x Total time = Total distance

x×423=28312x×143=5672x=5672÷143x=5672×314x=56714×32x=812×32x=2434x=6034.\Rightarrow x \times 4\dfrac{2}{3} = 283\dfrac{1}{2}\\[1em] \Rightarrow x \times \dfrac{14}{3} = \dfrac{567}{2}\\[1em] \Rightarrow x = \dfrac{567}{2} ÷ \dfrac{14}{3}\\[1em] \Rightarrow x = \dfrac{567}{2} \times \dfrac{3}{14}\\[1em] \Rightarrow x = \dfrac{567}{14} \times \dfrac{3}{2} \\[1em] \Rightarrow x = \dfrac{81}{2} \times \dfrac{3}{2} \\[1em] \Rightarrow x = \dfrac{243}{4} \\[1em] \Rightarrow x = 60\dfrac{3}{4}.

Hence, distance covered in 1 hour = 603460\dfrac{3}{4} km.

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