[SPLIT, MOVED] 747 airplane takes about 4.75 hrs to fly 2475 mi from NYC to LA

[chanique wade]

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?

please round the answer to the nearest tenth of an hour.

 

[stapel]

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?

I will guess that you are supposed to assume a uniform rate (that is, to ignore winds, storms, take-off and landing, etc). So do the one-step division to find the uniform average speed of the one flight. Then do the one-step division to apply that speed to the second distance, to find the time.

If you get stuck, please reply showing how far you have gotten in doing those steps. Thank you!

 

[HallsofIvy]

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?

please round the answer to the nearest tenth of an hour.

Probably the simplest way is as stapel said: use the "4.75 hours to fly 2475 miles" to find the speed: \(\displaystyle \dfrac{2475 miles}{4.75 hours}= \dfrac{2475}{4.75}\) "miles per hour". Then divide that speed by the new distance: \(\displaystyle \dfrac{2475}{4.75}\dfrac{miles}{hour}\left(5470 miles\right)\).

Another way is to set it up as a "proportion"- a fraction on each side with the "same" thing in each part of the fraction on each side. Letting "x" be the time to fly 5470 miles:
\(\displaystyle \dfrac{x hours}{5470 miles}= \dfrac{4.75 hours}{2475 miles}\)

You solve for x by multiplying both sides by "5470 miles" so that you are really do the "reciprocal" of what was done originally.