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Offline Centres

Two birds are at origin. They both start to fly in straight lines in different directions making an angle $θ = 37 °$ with each other at the same time as shown.
$Bird (1)$ on reaching a point $P$ takes a right angle turn to reach point $Q$ simultaneously with $B i r d (2) .$ If the $bird (1)$ was flying with a constant speed of $7 km / hr$ then what must be the constant speed of $b i r d (2)$ ?

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$4 km / hr$

$7 km / hr$

$5 km / hr$

$6 km / hr$

answer is C.

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Detailed Solution

Bird $(1)$ travels $7 x$ and Bird $(2)$ travels $5 x$ in same time,

so $\frac{v_{2}}{v_{1}} = \frac{s_{2}}{s_{1}} = \frac{5 x}{7 x}$ or $v_{2} = \frac{5}{7} (v_{1}) = 5 km / hr$

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