Complete question :
Alexandra and Chi compete in an Olympic-type triathlon consisting of a 1.5 km swim, a 40 km bicycle ride, and a 10 km run. There are two transitions in the race where the participants take time to change from one mode of the race to another. Their times from the race are shown. Complete questions 1dash4 below.
How long does it take Alexandra to complete the triathlon. Write a linear equation to model total time t in hours.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SWIM:
Alexandra __5km/hr
Chi _______ 6km/hr
Transition 1:
Alexandra __ 4 minutes
Chi _______ 5 minutes
CYCLE:
Alexandra __15km/hr
Chi _______ 15km/hr
Transition 2:
Alexandra __ 3 minutes
Chi _______ 5 minutes
RUN:
Alexandra __6km/hr
Chi _______ 7.5km/hr
Distances:
swim distance = 1.5km
bicycle ride distance = 40km
run distance = 10km
Time taken by Alexandra :
time = distance / speed
Swim time = 1.5km / 5km/hr = 0.3 hr
Transition 1 = 4/60 = 0.067 hr
Cycle time = 40km / 15km/hr = 2.67 hours
Transition 2 = 3/60 = 0.05 hr
Run time = 10 / 6km/hr = 1.67 hrs
Total time(t) in hours taken by Alexandra :
(0.3 + 0.067 + 2.67 + 0.05 + 1.67) hrs = 4.757 hours
Time taken by Chi :
time = distance / speed
Swim time = 1.5km / 6km/hr = 0.25 hr
Transition 1 = 5/60 = 0.083 hr
Cycle time = 40km / 15km/hr = 2.67 hours
Transition 2 = 5/60 = 0.083 hr
Run time = 10 / 7.5km/hr = 1.33 hrs
Total time(t) in hours taken by Chi
(0.25 + 0.083 + 2.67 + 0.083 + 1.33) hrs = 4.757 hours = 4.416 hours
