Question

a jet takes 5 3/4 hours to fly 2,475 mi from new york city to los angeles. about how many hours will a jet flying at the same average rate take to fly 5,452 mi from los angeles to tokyo? Please explain using ratios.

Answer 1

We have:

Time = 5³/₄ hours
Distance = 2475 miles
Speed = Distance ÷ Time
= 2475 ÷ 5³/₄
= ⁹⁹⁰⁰/₂₃ = 430.43 miles/hour

Distance LA - Tokyo = 5452
Speed = 430.43 miles/hour
Time = Distance ÷ Speed
= 5452 ÷ 430.43
= 12.7 hours

Using ratios:

2475 miles ⇒ 5³/₄ hours
5452 miles ⇒ x hours

Find the multiplier ⇒ 5452 ÷ 2475 = 2.203
Then multiply 2.203 by 5³/₄ to get 12.7 hours