Math, asked by raziakhatoon05061, 1 month ago

you participate in a 12 1 by 2 kilometre relay Run for charity team at 8 people and each person runs the same distance or how many kilometre does each person runs​

Answers

Answered by george0096
4

Question:

  • You participate in a 12 1/2 kilometre relay run for charity team at 8 people. Each person runs the same distance. How many kilometres does each person runs?

Answer:

\sf{\circ\;Each\;person\;ran\;1\dfrac{9}{16}\;km.}

Step-by-step explanation:

Given that:

  • You participated in a 12 1/2 kilometre relay race.
  • There are 8 person in your team.
  • Each person runs the same distance.

To Find:

  • How many kilometres does each person runs??

Solution:

\sf{Distance\;of\;the\;race=12\dfrac{1}{2}km=\dfrac{25}{2}km}

\sf{No.\;of\;persons\;in \;your\;team=8}

\sf{Distance\;ran\;by\;each\;person=\left(\dfrac{25}{2}\div8\right)\;km}

=\sf{\left(\dfrac{25}{2}\times\dfrac{1}{8}\right)\;km}

Multiplying the numbers,

=\sf{\left(\dfrac{25}{2\times8}\right)\;km}

=\sf{\dfrac{25}{16}\;km}

Converting into mixed fraction,

=\sf{1\dfrac{9}{16}\;km}

\sf{Hence, each\; person\; runs\; 1\dfrac{9}{16}\;km.}

Verification:

We can verify it as multiplying 1 9/16 with 8 should result 12 1/2

LHS:

\sf{\longmapsto 1\dfrac{9}{16}\times8}

\sf{\longmapsto \dfrac{25}{16}\times8}

\sf{\longmapsto \dfrac{25}{2}\times1}

\sf{\longmapsto \dfrac{25}{2}}

\sf{\longmapsto 12\dfrac{1}{2}}

RHS:

\sf{\longmapsto 12\dfrac{1}{2}}

As,

  • LHS = RHS

Hence, Verified

Answered by jhas78102
34

Answer:

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