Question

A scooterist covers a distance of 3 km in 5 mins calculate the speed in
Centimetres per second
Metres per second
Kilometres per second

Answer 1

$\underline{\small \bf {\maltese \; \; \; centimetre \: per \: second \: (cm/s) \: : \; \; \; }}$

In order to find the speed in cm/s, we need to convert distance in cm and time in seconds.

$\large{\underline{\textsf{\textbf{ Conversion \: of \: units: }}}}$

★ Distance = 3 km ⇒ 300000 cm

→ 1 km = 1000 m

• 1 m = 100 cm
• 1000 m = ( 1000 × 100 ) cm ⇒ 100000 cm

→ 1 km = 100000 cm

$\to \bf \red { 3 \: km = 300000 \: cm }$

★ Time = 5 minutes ⇒ 300 s

→ 1 minute= 60 s

→ 5 minutes = (5 × 60) s

$\to \bf \red { 5 \: min = 300 \: s }$

$\large{\underline{\textsf{\textbf{ Calculating \: speed : }}}}$

$\bigstar \: \boxed{\sf { Speed_{(in \: cm/s)} = \dfrac{Distance}{Time} }}$

$\longrightarrow \sf {Speed_{(in \: cm/s)} = \dfrac{300000 \: cm}{300 \: s} }$

$\longrightarrow \sf {Speed_{(in \: cm/s)} = \dfrac{3000 \: cm}{3 \: s} }$

$\longrightarrow \boxed { \pmb{\sf \purple{Speed_{(in \: cm/s)} = 1000 \: cm/s }}}$

______________________________

$\underline{\small \bf {\maltese \; \; \; metres \: per \: second \: (m/s) \: : \; \; \; }}$

In order to find the speed in m/s, we need to convert distance in m and time in seconds.

$\large{\underline{\textsf{\textbf{ Conversion \: of \: units: }}}}$

★ Distance = 3 km ⇒ 3000 m

→ 1 km = 1000 m

→ 3 km = (3 × 1000) m

$\to \bf \red { 3 \: km = 3000 \: m }$

★ Time = 5 minutes ⇒ 300 s

→ 1 minute= 60 s

→ 5 minutes = (5 × 60) s

$\to \bf \red { 5 \: min = 300 \: s }$

$\large{\underline{\textsf{\textbf{ Calculating \: speed : }}}}$

$\bigstar \: \boxed{\sf { Speed_{(in \: m/s)} = \dfrac{Distance}{Time} }}$

$\longrightarrow \sf {Speed_{(in \: m/s)} = \dfrac{3000 \: m}{300 \: s} }$

$\longrightarrow \sf {Speed_{(in \: m/s)} = \dfrac{30 \: m}{3 \: s} }$

$\longrightarrow \boxed { \pmb{\sf \purple{Speed_{(in \: m/s)} = 10 \: m/s }}}$

_______________________________

$\underline{\small \bf {\maltese \; \; \; kilometres \: per \: second \: (km/s) \: : \; \; \; }}$

In order to find the speed in km/s, we need to convert distance in km and time in seconds.

★ Distance = 3 km

[Already given in km.]

★ Time = 5 minutes ⇒ 300 s

→ 1 minute= 60 s

→ 5 minutes = (5 × 60) s

$\to \bf \red { 5 \: min = 300 \: s }$

$\large{\underline{\textsf{\textbf{ Calculating \: speed : }}}}$

$\bigstar \: \boxed{\sf { Speed_{(in \: km/s)} = \dfrac{Distance}{Time} }}$

$\longrightarrow \sf {Speed_{(in \: km/s)} = \dfrac{3 \: km}{300 \: s} }$

$\longrightarrow \sf {Speed_{(in \: km/s)} = \dfrac{1 \: km}{100 \: s} }$

$\longrightarrow \boxed { \pmb{\sf \purple{Speed_{(in \: km/s)} = 0.01 \: km/s }}}$