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It takes a plane 3.5 hours to fly 2,345 miles and 2 hours to fly 860 miles
going the opposite direction along the same route. I really just need help with c and d.

a. How fast does the plane fly during the first leg of the trip?
b. How fast does the plane fly during the last leg of the trip?
c. What system of equations might be helpful in this scenario?
d. Solve this system of equations using the best method.
e. How fast is the wind?
f. How fast does the plane fly without any wind?

Respuesta :

mhanifa

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

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:

Hope this helps! The other User deserves all the Thanks, ratings and brainliest