Question

It takes a plane 3.5 hours to fly 2,345 miles and 2 hours to fly 860 miles

Answer 1

Answer:

a) 670mph

b) 430mph

c) s+w=670 and s-w=430, use the substitution method

d) 2s=1100

w=550-430

s=550 mph

w=120 mph

e)120 mph

f)550 mph

Step-by-step explanation:

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Answer 2

Answer:

See below

Step-by-step explanation:

a. How fast does the plane fly during the first leg of the trip?

• 2345/3.5 = 670 mph

b. How fast does the plane fly during the last leg of the trip?

• 860/2 = 430 mph

c. What system of equations might be helpful in this scenario?

s - speed of the plane, w - speed of the wind, equations:

• s + w = 670
• s - w = 430

d. Solve this system of equations using the best method.

Add the equation together to get:

• 2s = 1100 ⇒ s = 550 mph
• w = 550 - 430 = 120 mph

e. How fast is the wind?

• 120 mph as solved above

f. How fast does the plane fly without any wind?

• 550 mph as solved above