the speed of car is 54 1/2 km per hour.what is the distance travelled in 7/2 hours and 35/2 minutes? ans fast pls

It is given that speed = $54\frac{1}{2}km/hr$ and time = $\frac{7}{2}hr\frac{35}{2}min$

$\Rightarrow $speed = $54+\frac{1}{2}=\frac{109}{2}km/hr$

We know that 1 hour = 60 minutes

$\Rightarrow \frac{35}{2}min=\frac{35}{2}*\frac{1}{60}hr\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{35}{2}min=\frac{7}{24}hr\phantom{\rule{0ex}{0ex}}thatmeanstotaltime=\left[\frac{7}{2}+\frac{7}{24}\right]hr=\frac{91}{24}hr\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

hence the distance = $\frac{109}{2}*\frac{91}{24}=206\frac{31}{48}km/hr$

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