SOLUTION: The rate of a jet is 400 mph in calm air. Traveling with the wind, the jet can fly 2100 miles in the same amount of time as it takes to fly 1900 miles against the wind. Find the ra

Question 194738: The rate of a jet is 400 mph in calm air. Traveling with the wind, the jet can fly 2100 miles in the same amount of time as it takes to fly 1900 miles against the wind. Find the rate of the wind.
d=rt
calm air = 400 mph
distance with wind = 2100 miles
distance against wind = 1900 miles
2100 = (400+w)*?
1900 = (400-w)*?
I understand that we need to find w(rate of wind), but what's the time? The problem just states that it is the same.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since the times are the same, the time is simply "t" for both equations.

So we have the equations

Start with the first equation.

Divide both sides by .

Rearrange the equation

------------------------

Move onto the second equation

Plug in

Multiply both sides by .

Rearrange the terms.

Distribute.

Subtract from both sides.

Add to both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the speed of the wind is 20 mph.
RELATED QUESTIONS
A jet can fly 550mph in calm air. Traveling with the wind, the jet can fly 2400 miles in... (answered by mananth)

A jet flying with the wind went 2100 miles in 4 hours. Flying against the wind, the jet... (answered by Big Poop,Alan3354)

A Commercial jet can fly 500 mph in calm air. Traveling with the wids of the jet stream, (answered by mananth)

A commercial jet can fly 550 mph on calm air. Traveling with the jet stream, the plane... (answered by checkley75)

Flying with a tailwind a jet can fly 2520 miles in 4 hours. Flying against the same wind, (answered by mananth,josmiceli)

The rate of a jet stream is 300 milers per hour. Traveling with the jet stream, an... (answered by josgarithmetic)

A commercial jet can fly 450 mph in calm air. Traveling with the jet stream, the plane... (answered by mananth)

A commercial jet can fly 450 mph in calm air. Traveling with the jet stream, the plane... (answered by ewatrrr)

A commercial jet can fly 490 mph in calm air. Traveling with the jet stream, the plane... (answered by richwmiller)