An airplane takes 5 hours to travel a distance of 3400km against the wind. the return trip takes 4 hours with the wind. what is the rate of the plane in still air and what is the rate of the wind?

Against the wind:

distance = 3400 km

time = 5 hr.

rate = d/t = 3400/5 = 680 km/hr

With the wind:

distance = 3400 km

time = 4 hr

rate = d/t = 3400/4 = 850 km/hr

Equations:

plane speed - wind speed = 680 km/hr

plane speed + wind speed = 850 km/hr

2(plane speed) = 1530

plane speed = 765 km/hr

Substitute and solve for "wind speed":

765 + wind speed = 850

wind speed = 85 km/hr

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what is all that apply?

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1