A) 5 m/h
B) \[\frac{5}{2}\]m/h
C) \[\frac{5}{3}\]m/h
D) \[\frac{5}{4}\]m/h
Correct Answer: B
Solution :
\[\frac{dy}{dt}=5,\ \ \ \frac{dx}{dt}=?\] From figure, \[\frac{x}{2}=\frac{x+y}{6}\Rightarrow 4x=2y\Rightarrow x=\frac{1}{2}y\] Hence \[\frac{dx}{dt}=\frac{1}{2}\frac{dy}{dt}=\frac{5}{2}metre/hour\].You need to login to perform this action.
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