Please help solve this advanced general mathematics worded question involving linear equations. A biathlon event involves running and cycling. Kim can cycle 30km/h faster than she can run. If Kim spends 48 minutes running and a third as much time again cycling in an event that covers a total distance of 60km, how fast can she run? working out shown please.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Kim can cycle 30 km/h faster than she can run. If the speed at which she can run is X, the speed at which she can cycle is X + 30.

She spends 48 minutes running and 48/3 = 16 minutes cycling. The total distance covered is 60 km.

Distance = speed*time

=> 60 = X*(48/60) + (X + 30)*(16/60)

=> 3600 = 48X + 16X + 480

=> 60X = 3120

=> X = 52

The speed at which Kim can run is 52 km/h.

Posted on

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial