Boeing 747 airplane take 4.75 hours to fly 2,475 miles from New York to LA. How many hours will it take to fly 5,470 miles from La to Tokyo?

Question

Please help with this question

 

Answer 1

Hi Judy, this is a simple ratio and proportion problem.

 

You are given a rate (2,475 miles in 4.75 hrs.) , and asked to find time to travel 5,470 miles

 

 let x  = no. of hours to travel 5,470 miles

 

set up a proportion

 

4.75 hrs.   =   x hrs

----------      ----------

2475 mi.       5470 mi.

 

cross multiply to solve for x:

 

x = 10.5 hrs.

 

 

 

Answer 2

Start by calculating the speed or rate that the plane flies.

 

It flies 2,475 miles from New York to LA in 4.75 hours.

 

It's average speed is then:

 

2,475 mi / 4.75 hr = 521 mi/hr

 

How many hours will it take to fly 5,470 miles from La to Tokyo?

 

Set the problem up so miles cancel out and hours is left in the numerator.

 

(5,470 mi)*(1 hr / 521 mi) = 10.5 hr