Question

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

Answer 1

hey fam!

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

Cheers fam!^_^

Answer 2

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