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Question

A cyclist rides her bike at a speed of 12 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers.

Answer 1

The speed v is 12 m/s.

 

We convert seconds to hours  and meters to kilometers:

 

3600s = 1 hr

 

If we divide 3600 on both sides of conversion, we have

 

1 s = (1/3600) hr

 

 

1000m = 1 km

 

If we divide 1000 on both sides of conversion, we have

 

1 m = (1/1000) km

 

 

v = [(12/1000) km] / [(1/3600) hr]

 

v = [(12*3600)/1000] km/hr

 

v = 216/5  km/hr

 

 

The distance in 4 hours is

 

d = [(216/5) km/hr] * 4hr

 

d = 864.50 km