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Sergio [31]
2 years ago
8

(question in image) i need the equation and it solved

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
3 0

Answer:

  • Option A
  • Speed of plane is 240 km/h, speed of wind is 50 km/h

Step-by-step explanation:

With the tail wind the total speed is the sum of the speeds of plane and wind.

When into wind the total speed is the difference of speeds of plane and wind.

The first equation is

  • (r + w)*6 = 1740

The second equation is

  • (r - w)*3 = 570

Simplify both equations and solve the system

  • r + w = 1740/6 ⇒ r + w = 290
  • r - w = 570/3 ⇒ r - w = 190

Solve by elimination, add up the equations

  • r + w + r - w = 290 + 190
  • 2r = 480
  • r = 240

Find the value of w

  • 240 + w = 290
  • w = 290 - 240
  • w = 50
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