Question

a jet flies 5985 miles in 4 3/4 hours. At the same rate, how long will it take the jet to fly 8505 miles?

Answer 1

`\begin{array}{ccll} miles&hours\\ \cline{1-2} 5985&4(3)/(4)\\[1em] 8505&h \end{array}\implies \cfrac{5985}{8505}~~ = ~~\cfrac{ ~~ 4(3)/(4) ~~ }{h}\implies \cfrac{19}{27}=\cfrac{ ~~ 4(3)/(4) ~~ }{h}\implies \cfrac{19}{27}=\cfrac{ ~~ (19)/(4) ~~ }{h}`

`\cfrac{19}{27}=\cfrac{ ~~ (19)/(4) ~~ }{(h)/(1)}\implies \cfrac{19}{27}=\cfrac{19}{4}\cdot \cfrac{1}{h}\implies \cfrac{19}{27}=\cfrac{19}{4h}\implies 76h=513 \\\\\\ h=\cfrac{513}{76}\implies h=\cfrac{27}{4}\implies {\Large \begin{array}{llll} h=6(3)/(4) \end{array}}`