Question

PLEASEEEE HELP AND SHOW WORK WILL GIVE BRAINLIEST... LOVE Y'ALL!!! The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?

Answer 1

Answer:

4 hour

Step-by-step explanation:

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane i.e.

$t\propto v^2$

Here, t₁ = 5 h, v₁ = 950 km/h, v₂ = 850 km/h, t₂=?

$\dfrac{t_1}{t_2}=\dfrac{v_1^2}{v_2^2}\\\\t_2=\dfrac{t_1v_2^2}{v_1^2}\\\\t_2=\dfrac{5\times (850)^2}{(950)^2}\\\\t_2=4\ h$

If the speed is 850 km/h then the time is 4 h.