Question

In a triathlon , Jenny swam for 1 hour , biked for 1.75 hours , and ran for 1 hour. Her average biking speed was 2 times her average running speed , and her average running speed was 8 times her average swimming speed. Total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Jenny's average swimming speed in kilometers per hour. Explain your solution path and the reasoning behind your work.

Answer 1

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

Speed

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the average swimming speed, b the average biking speed and c the average running speed.

Her average biking speed was 2 times her average running speed, hence:

• b = 2c  (1)

Her average running speed was 8 times her average swimming speed. Hence:

• c = 8a   (2)

Total distance of the triathlon was 55.5 kilometers. Hence:

a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5   (3)

From equation 1, 2 and 3:

a = 2.5, b = 24, c = 12

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

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