## 119. Math Puzzle $4 / 75$

A plane flying at its own speed of $360 \mathrm{~km} / \mathrm{h}$ with a wind speed of $10(23 \mathrm{~m} / \mathrm{s})$ perpendicular to its direction experiences lateral drift,

a) per flight hour and b) per flight kilometer.
a) $s=v_{2} \cdot t=0.023 \mathrm{~km} / \mathrm{s} \cdot 3600 \mathrm{~s}=82.8 \mathrm{~km}$

b) $v=\sqrt{v_{1}^{2}+v_{2}^{2}}=102.6 \mathrm{~m} / \mathrm{s}$ and flight time per kilometer $t=\frac{1000}{102.6}=9.75 \mathrm{~s}$

$s^{\prime}=23 \mathrm{~m} / \mathrm{s} \cdot 9.75 \mathrm{~s}=224 \mathrm{~m}$