Question

8.i) A scooter travelling at a speed of 200 m/s for 42 seconds. Calculate the distance
travelled by the scooter in km.
OR

ii) A school bus takes 30 minutes to cover a distance of 33 km. Calculate its speed in
km/h.

Answer 1

Answer:

$\red{\bold{i)\:Distance\:=\:8.4Km}}$

$\green{\bold{ii)\:Speed\:=\:66Km/hr}}$

Explanation:

$\red{\bold{i)\:Question}}$

A scooter travelling at a speed of 200 m/s for 42seconds. Calculate the distance travelled by the scooter in km.

$\orange{\bold{Solution-}}$

Given ,

Speed = 200 m/s

Time = 42 seconds

According to question ,

we know that - speed = distance/time

⟹ $speed = \frac{distance}{time}$

⟹ $200 = \frac{distance}{42}$

Therefore , Distance = speed × time

⟹ 200 × 42

⟹ 8400 m

Now , we will convert meter into kilometers

⟹8400/1000

⟹8.4km

Hence , Distance ⟹ 8.4km

$\red{\bold{</strong><strong>ii</strong><strong>)</strong><strong>\</strong><strong>:</strong><strong>Question</strong><strong>-</strong><strong>}}$

ii) A school bus takes 30 minutes to cover a distance of 33 km. Calculate its speed in km/h.

$\green{\bold{solution -}}$

Given ,

Distance = 33km

time = 30 minutes = 0.5 hours

According to question -

we know that , speed = distance/ time

Therefore, Speed = 33/0.5

⟹ 33/5×10

⟹ 330 / 5

⟹ 66 km/ hrs

Therefore , speed of bus is 66 km/hr

Answer 2

$\huge \underline\textbf{Solution\:i}$

۞━━━━━━━━━━━━━━━━━━━━━━━━━━۞

$\sf\large\underline\green{Given:-}$

$\blue{\bold{Speed\:-\:200\:m/s}}$

$\blue{\bold{Time\:-\:42\:sec}}$

A\Q,

⠀⠀⠀⠀⠀⠀${\bold{Speed\:=\: \frac{Distance}{Time}}}$

⠀⠀⠀ ⠀⠀⠀⠀${\bold{200\:=\:\frac{Distance}{42}}}$

⠀⠀ ⠀ ⠀${\bold{Distance\:=\:Speed\:×\:Time}}$

⠀⠀⠀ ⠀⠀⠀⠀ ⠀⠀⠀${\bold{=\:200\:×\:42}}$

⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀${\bold{=\:8400\:m}}$

${\bold{Now,}}$

${\bold{we\:wise\:convert\:meter\:into\:km}}$

⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀⠀${\bold{= \frac{8900}{1000}}}$

∴ $\pink{\bold{Distance\:=\:8.4\:km}}$

۞━━━━━━━━━━━━━━━━━━━━━━━━━━۞

$\huge \underline\textbf{Solution\:ii}$

$\sf\large\underline\green{Given:-}$

$\blue{\bold{Distance\:-33\:km}}$

$\blue{\bold{Time\:-30\:min\:=\:0.5\:hrs}}$

A\Q,

⠀⠀⠀⠀⠀⠀${\bold{Speed\:=\: \frac{Distance}{Time}}}$

⠀ ⠀⠀⠀⠀⠀⠀${\bold{200\:=\:\frac{33}{0.5}}}$

here we now,

if Denominator is in point so we will remove the point and add one 0 in numerator .

Hence,

⠀⠀⠀⠀ ⠀⠀⠀${\bold{200\:=\:\frac{330}{5}}}$

⠀ ⠀⠀⠀⠀ ⠀⠀⠀⠀⠀${\bold{=\:66\:km/hrs}}$

∴ $\pink{\bold{Speed\:of\:bus\:is\:66\:km/hrs}}$

۞━━━━━━━━━━━━━━━━━━━━━━━━━━۞