There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
How long was the second part of the race? What was Rita's speed in that section of the race?

Respuesta :

The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.

Speed

let

  • distance covered in first Part = d1
  • distance covered in second Part = d2
  • distance covered in third Part = d3
  • speed covered in first Part = s1
  • speed covered in second Part = s2
  • speed covered in third Part = s3

Distance in second Part:

d₃ = 15 x 300

= 4500 m

d₂ = 2/5 × d₃

= 2/5 x 4500

d₂ = 1800 meters

Speed in second part:

S₂ = 1800 m / 12 min

S₂ = 150 meters per minute

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