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# A pilot of a small airplane wants to travel at 225 kilometers per hour over the ground. She knows that she is flying directly into a wind that is blowing at 38 kilometers per hour. What should the speedometer of her airplane read, in order to maintain a ground speed of 225 km/hr?

Solution

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Step 1
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Given : Speed of the airplane $(u)$ = 225 kmph, speed of the wind $(v)$ = 38 kmph

To find : Reading of the speedometer

Case I:

If the wind is blowing in the direction of the motion of airplane, the reading of the speedometer $(s)$ can be given by:

\begin{align*} s&=u-v &\textcolor{#4257b2}{\text{...relative speed formula}}\\ &=225-38 &\textcolor{#4257b2}{\text{...substituting values}}\\ &=187 &\textcolor{#4257b2}{\text{...adding}} \end{align*}

So, the reading of the speedometer should be 187 kmph to maintain a ground speed of 225 kmph

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