Question

A man runs round a circular field of radius 50m at a speed of 12 km/Hour.What time is taken by the man to make twenty rounds of the field??​

Answer 1

Given :

• A man runs around a circular field is radius of 50m at a speed of 12 km/h .

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To Find :

• How much time it will take to take 20 rounds of the field.

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Solution :

~ Formula Used :

$\large{\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\red{\sf{ Perimeter{\tiny_{(Circle) }} = 2πr}}}}}$

$\large{\color{cyan}{\bigstar}} \: \: {\underline{\boxed{\red{\sf{ Time = \dfrac{Distance}{Speed}}}}}}$

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~ Converting the Speed (m/s ) :

${\implies{\qquad{\sf{ Speed{\small_{(m/s)}} = \dfrac{Speed{\small_{(Km/h)}} \times 1000}{3600}}}}} \\ \\ \ {\implies{\qquad{\sf{ Speed{\small_{(m/s)}} = \dfrac{ 12 \times 1000}{3600}}}}} \\ \\ \ {\implies{\qquad{\sf{ Speed{\small_{(m/s)}} = \cancel\dfrac{12000}{3600}}}}} \\ \\ \ {\qquad{\textsf{ Speed in m/s = {\purple{\sf{ 3.33 \: m/s }}}}}}$

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~ Calculating Perimeter of field :

${\longmapsto{\qquad{\sf{ Perimeter{\small_{(Field) }} = 2πr }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Perimeter{\small_{(Field) }} = 2 \times 3.14 \times 50}}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Perimeter{\small_{(Field) }} = 157 \times 2 }}}} \\ \\ \ {\qquad{\textsf{ Perimeter of field = {\green{\sf{ 314 \: m }}}}}}$

$\qquad{━━━━━━━━━━━━━━━━━━━━━}$

~ Calculating Distance Covered :

✏ As he took 20 rounds of the field. Hence,

${\longmapsto{\qquad{\sf{ Distance \: Covered \: = Perimeter \times No. \: of \: rounds }}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Distance \: Covered = 314 \times 20 }}}} \\ \\ \ {\qquad{\textsf{ Total Distance Covered = {\pink{\sf{ 6280 \: m }}}}}}$

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~ Calculating Time taken :

${\longmapsto{\qquad{\sf{ Time = \dfrac{Distance}{Speed}}}}} \\ \\ \ {\longmapsto{\qquad{\sf{ Time = \cancel\dfrac{ 6280 }{3.33}}}}} \\ \\ \ {\qquad{\textsf{ Time Taken = {\orange{\sf{ 1885.88 \: s (Approx.) }}}}}}$

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Therefore :

❝ Time taken by the man to take 20 rounds is 1886 s or 31 min 26 s (Approx.) .❞

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Answer 2

Answer:

50×12

=600 ans.

Step-by-step explanation:

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