Question
An air rescue plane averages 300 miles per hour in still air. It carries enough fuel for 5 hours of flying time. If, upon takeoff, it encounters a head wind of $30 \mathrm{mi} / \mathrm{h}$, how far can it fly and return safely? (Assume that the wind remains constant.)
Step 1
According to the problem, the plane encounters a head wind of 30 mph upon takeoff, so the outbound speed $v_1$ is equal to the plane's speed in still air (300 mph) minus the wind speed (30 mph), which gives us $v_1 = 300 - 30 = 270$ mph. The return speed $v_2$ is Show more…
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An air rescue plane averages 300 miles per hour in still air. It carries enough fuel for 5 hours of flying time. If, upon takeoff, it encounters a head wind of $30 \mathrm{mi} / \mathrm{hr},$ how far can it fly and return safely? (Assume that the wind remains constant.)
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