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A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 20 km per hour greater than the speed of the car, so the motorcycle arrives at the lake 1 hour before the car. Find the speed of the car and the speed of the motorcycle. Plz answer fast!!

Respuesta :

mhanifa

Answer:

  • 40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

Time:

  • 120/x = 120/(x + 20) + 1
  • 120(x + 20) = 120x + x(x +20)
  • 120x + 2400 = 120x + x² + 20x
  • x² + 20x = 2400
  • x² + 2*10x + 10² = 2500
  • (x + 10)² = 50²
  • x  + 10 = 50
  • x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

mathewlydia25

Answer:

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h