In a triathlon, an athlete swims 750 m in 15 minutes, cycles at an average speed of 40 km/h for 30 minutes and runs 5 km at an average speed of 3 m/s. Find his
average speed for the entire competition, giving your answer in km/h

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In triathlon an athlete swims 750meter in 15minutes cycles at an average speed of 40km/h for 30minutes and runs 5km at an average speed of 3meter/second find his average speed for the entire competition giving your answer in km/h

The average speed for the entire triathlon = 21.229 km/hr

Step-by-step explanation:

Calculate the distance covered and time taken in the first part of the Triathlon in Kilometers and hours respectively - Swimming

Distance 750 meters ⇒  750/100= 0.75Km

Time = 15 minutes ⇒  15/60      =  0.25 hours

Calculate the distance and time in Km and hours in the second phase:

Time is 30 minutes = 30/60 = 0.5 hours

Speed = 40km/hr

Distance = speed × time = 40km/hr × 0.5 = 20km

Calculate the distance covered and time taken in the last phase of the triathlon: Running

Runs 5 Km - this is the distance

5km = 5000m

Speed = 3 meters/sec

Time = Distance / speed

      = 5000 m / 3m/s

      = 1666.66666667 s

Convert to hours

1666.66666667 /3600 = 0.46 hours

Final step is to calculate the average speed:

Average speed = total distance travelled / total time taken

Total distance in Km = 0.75 km + 20 km + 5 km = 25.75 km

Total time taken = 0.25 hours + 0.5 hours + 0.46 hours = 1.21296296296 hours

Average speed of the athlete = 25.75 km / 1.21296296296 hours

                                             = 21.229 Km/hr

The average speed for the entire triathlon = 21.229 km/hr

ryan had a head start of 10 meters.