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Please help solve this advanced general mathematics worded question involving linear...
Topic: Linear Functions
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.
2 Answers | add yours
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 by justaguide on January 4, 2013 at 10:00 AM (Answer #1)
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