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. Alexandra

Chi

Swim

5 km/hr

6 km/hr

Transition 1

4 minutes

5 minutes

Cycle

15 km/hr

15 km/hr

Transition 2

3 minutes

5 minutes

Run

6 km/hr

7.5 km/hr

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.

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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

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step-by-step explanation:

.6 is 1/2 of 12

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