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Xóchitl, who has already warmed up, immediately starts to pedal at a rate of 18 km h 18 h km ​ 18, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction on a stationary bike. She sees that her friend Cowessess has already pedaled 12 1212 minutes at an average rate of 10 km h 10 h km ​ 10, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction. Assuming Cowessess's rate stays the same, how long would Xóchitl have to pedal to catch up to Cowessess's distance?

Respuesta :

Eduard22sly

The time taken for Xóchitl to pedal to catch up to Cowessess's distance is 6.7 mins

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to determine the distance travelled by Cowessess

From the question given, the following data were obtained:

  • Speed = 10 Km/h
  • Time = 12 mins = 12 / 60 = 0.2 h
  • Distance =?

Speed = distance / time

10 = distance / 0.2

Cross multilpy

Distance = 10 × 0.2

Distance = 2 Km

How to determine the time taken for Xóchitl to catch up to Cowessess's distance

  • Distance = 2 Km
  • Speed = 18 Km/h
  • Time =?

Speed = distance / time

18 = 2 / time

Cross multiply

18 × time = 2

Divide both side by 18

Time = 2 / 18

Time = 1/9 h

Multiply by 60 to express in minutes

Time = 1/9 × 60

Time = 6.7 mins

Thus, the time taken for Xóchitl to catch up to Cowessess's distance is 6.7 mins

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Answer: 15

Step-by-step explanation:

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