Question

A Boeing 747 airplane takes about 4.75 hours to fly 2,475 miles from New York City to Los Angeles. About how many hours will it take the Boeing 747 to fly 5,470 miles from Los Angeles to Tokyo?

Answer 1

Okay, so we know that speed is dictance/time or:
\[v=\frac{d}{t}\]
So then we know that it can travel 2475miles in 4.75 hours, so then let's find it's speed:
\[v=\frac{d}{t}=\frac{2475}{4.75}\approx521.05\phantom{.}mph\]
So then if we know it's speed and we know the distance we can re-arrange for the time:
\[v=\frac{d}{t}\rightarrow t=\frac{d}{v}\]
So then:
\[t=\frac{5470}{521.05}\approx10.5\phantom{.}hours\]