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A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/h.If he covers the same distance at 8 km/h, he takes x minutes less than the usual time. Whatis the value of x ?
Given that Distance = 20 km ,speed = 5 km/hr
Usual time = $$ \dfrac {20}{5} = 4 hr $$
$$ \Rightarrow 4 - \dfrac {40}{60} = 4 - \dfrac {2}{3}$$(according to question)
$$\Rightarrow \dfrac {10}{3} $$
when speed 8 km/hr
usual time = $$ \dfrac {20}{8} =\dfrac {5}{2}$$
Less than usual time$$ x = \dfrac {10}{3} - \dfrac{5}{2}$$
$$\Rightarrow \dfrac{5}{6}hr $$
$$\Rightarrow \dfrac {5}{6}\times 60 $$ (change into minute)
$$\Rightarrow 50 min $$ Ans
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