Math, asked by prit14072005, 1 year ago

please please please please please please please please please please please answer my question about maths ​

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Answered by Crystall91
38

hey fam!

Please refer to the attachment for your answer and lemme know if I am correct?

Cheers fam!^_^

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Anonymous: Nice
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Anonymous: Great answer :)
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Answered by Grimmjow
60

Let the Speed of the Wind be : W kmph

Given : Man travels 12 km against the direction of Wind

★  While traveling against the direction of Wind, The Wind opposes the motion of the cycle with a speed equal to speed with which it is blowing

★  Speed of the man while cycling against the direction of Wind :

:\implies  Speed of the Man - Speed of the Wind

Given : Man is cycling at a rate of 12 kmph

★  Speed of man while cycling against direction of Wind : (12 - W)

\bigstar\;\;\textsf{We know that : \boxed{\mathsf{Speed = \dfrac{Distance\;traveled}{Time\;taken}}}}

\mathsf{:\implies Time\;taken = \dfrac{Distance\;traveled}{Speed}}

\mathsf{:\implies Time\;taken\;to\;travel\;12\;km : \dfrac{12}{12 - W}}

★  While traveling in the direction of Wind, The Wind supports the motion of the cycle with a speed equal to speed with which it is blowing

★  Speed of the man while cycling in the direction of Wind :

:\implies  Speed of the Man + Speed of the Wind

★  Speed of the man while cycling in the direction of Wind : (12 + W)

Given : Man travels 28 km in the direction of the Wind

\mathsf{:\implies Time\;taken\;to\;travel\;28\;km : \dfrac{28}{12 + W}}

Given : Man took same time to travel 12 km against the direction of the Wind and 28 km in the direction of the Wind

\mathsf{:\implies \dfrac{12}{12 - W} = \dfrac{28}{12 + W}}

\mathsf{:\implies \dfrac{3}{12 - W} = \dfrac{7}{12 + W}}

\mathsf{:\implies {3}({12 + W}) = {7}({12 - W})}

\mathsf{:\implies 36 + 3W = 84 - 7W}

\mathsf{:\implies 7W + 3W = 84 - 36}

\mathsf{:\implies10W = 48}

\mathsf{:\implies W = \dfrac{48}{10}}

\mathsf{:\implies W = 4.8}

Answer : Speed of the Wind = 4.8 kmph


Anonymous: Fabulous
Grimmjow: Thank you! ^^''
Anonymous: Perfect answer :)
BrainlyWarrior: Perfect!
Grimmjow: Thank you! Kristy - BrainlyWarrior (^.^)
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