Question

if a car covers 54 km in an hour , how much distance will it cover in 40 minutes

Answer 1

I hope it will help you dear...

Answer 2

✰ Step by step explanation :

• Here, we have speed(s) of a car = 54km/h and time(t) = 40 min. We had to find out the distance covered by a car in 40 min.

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✰ Converting the speed into m/s :

$\qquad\leadsto\:\sf Speed = 54 \:\times\:\dfrac{5}{18}$

$\qquad\leadsto\:\sf Speed = \cancel{54} \:\times\:\dfrac{5}{\cancel{18}}$

$\qquad\leadsto\:\sf Speed = 3 \:\times\:5$

$\qquad\leadsto\:{\boxed{\frak{Speed = {\pink{15\:m/s}}}}}\:\purple\bigstar$

✰ Converting time into seconds :

$\red\bigstar\:{\underline{\boxed{\bf{\green{1\:min\:=\:60\:s}}}}}$

$\qquad\leadsto\:\sf 40\: min= 60\:\times\:40$

$\qquad\leadsto\:{\boxed{\frak{40\:min = \pink{2400\:s}}}}\:\purple\bigstar$

✰ Finding distance covered by car :

$\red\bigstar\:{\underline{\boxed{\bf{\green{Distance\:=\:Speed\:\times\:Time}}}}}$

✰ Putting all known values :

$\qquad\longrightarrow\:\sf Distance = 15\:\times\:2400$

$\qquad\longrightarrow\:\sf Distance = 36,000\:m$

• Distance in km :

$\qquad\longrightarrow\:\sf Distance = \dfrac{36000}{1000}$

$\qquad\longrightarrow\:\sf Distance = \dfrac{36\cancel{000}}{1\cancel{000}}$

$\qquad\longrightarrow\:{\boxed{\frak{Distance = \pink{36\:km}}}}\:\purple\bigstar$

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$\therefore\:{\underline{\frak{Distance\:covered\:by\:a\:car\:in\:40\:mins\:=\:36\:km}}}$