Question

A car moves at a constant speed of 45km/h for 10 minutes. What is the distance covered by the car?

Answer 1

Distance covered by the car is 7.5 km

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$\orange{\bigstar}$  Given  $\green{\bigstar}$

A car moves at a constant speed of 45 km/h for 10 minutes

$\orange{\bigstar}$  To Find  $\green{\bigstar}$

Distance covered by the car

$\orange{\bigstar}$  Key Points  $\green{\bigstar}$

$\pink{\bigstar}\ \; \bf Speed=\dfrac{Distance}{Time}$

• SI unit of speed is m/s
• SI unit of Distance is meter
• SI unit of Time is second

$\pink{\bigstar}\ \; \bf 1\ km/h=\dfrac{5}{18}\ m/s$

As the speed given is constant , so we need to apply formula , Speed = Distance / Time

$\orange{\bigstar}$  Solution  $\green{\bigstar}$

Speed , S = 45 km/h

Time , t = 10 min = 10/60 hour

⇒ t = ¹/₆ hour

Distance , d = ? km

Apply formula ,

$\to \bf Speed=\dfrac{Distance}{Time}\\\\\to \rm S=\dfrac{d}{t}\\\\\to \rm 45=\dfrac{d}{0.167}\\\\\to \bf d=7.5\ km\ \; \pink{\bigstar}$

So , Distance covered by the car = 7.5 km = 7500 m

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Answer 2

$\bullet\sf\ \ speed = 45km/h\ or \ 45\times \dfrac{5}{18}= \dfrac{75}{6} m/s\\ \\ \\ \bullet\sf\ \ time= 10min= 600seconds$

• Now Distance?

$:\implies\sf speed= \dfrac{distance}{time}\\ \\ \\ :\implies\sf \dfrac{75}{\cancel{6}}= \dfrac{D}{\cancel{600}} \\ \\ \\ :\implies\sf 75\times 100= D\times 1 \\ \\ \\ :\implies\underline{\boxed{\purple{\sf\ D= 7500m\ or \ 7.5km}}}$