Question

An eagle can fly at a speed of 50 mph and a starling can fly at 78 mph. How far will the starling fly in the time it takes the eagle to fly 125 miles?

Answer 1

195

Explanation:

Answer 2

well, we know the eagle does 50 miles in 1hr, how long will it be for 125 miles?

well
`\bf \begin{array}{ccllll} miles&hours\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 50&1\\ 125&x \end{array}\implies \cfrac{50}{125}=\cfrac{1}{x}\implies x=\cfrac{125\cdot 1}{50} \\\\\\ x=\cfrac{5}{2}`

so, the eagle for 125miles does them in 5/2 hours or 2hrs and a half

now, how far will the sterling go in 2hrs and a half?

well, we know the sterling does 75 miles in 1hr

thus
`\bf \begin{array}{ccllll} miles&hours\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 75&1\\ x&(5)/(2) \end{array}\implies \cfrac{75}{x}=\cfrac{1}{(5)/(2)}\implies \cfrac{75}{x}=\cfrac{2}{5}`

solve for "x"