Question

Can you answer this math homework? Please!

Answer 1

Answer:

Dalia had an average airspeed of 42 miles per hour

The average wind speed was 12 miles per hour

Answer 2

Answers:

• airspeed = 42 mph
• wind speed = 12 mph

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Explanation:

Let's solve the first equation for y

$18 = (x+y)\frac{1}{3}\\\\18*3 = x+y\\\\54 = x+y\\\\x+y = 54\\\\y = 54-x$

Then we'll plug this into the second equation and solve for x

$18 = (x-y)*\frac{3}{5}\\\\18 = (x-(y))*\frac{3}{5}\\\\18 = (x-(54-x))*\frac{3}{5}\\\\18 = (x-54+x)*\frac{3}{5}\\\\18 = (2x-54)*\frac{3}{5}\\\\18*5 = 3(2x-54)\\\\90 = 6x-162\\\\6x-162 = 90\\\\6x = 90+162\\\\6x = 252\\\\x = 252/6\\\\x = 42$

This is the average airspeed of the plane, in miles per hour (mph). It's the speed without accounting for the wind. If there's no wind at all, then this would be the ground speed of the plane.

Use this value of x to find y

y = 54-x

y = 54-42

y = 12

The average speed of the wind is 12 mph.