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Antti entered a 10 kilometer race. His goal is to finish in one hour. He starts off sprinting, and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour.

To achieve his goal of a one-hour finish time, what average speed must Antti maintain for the last 8 kilometers of the race?
 

 May 31, 2016
 #1
avatar+37084 
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This has already been answerd in a previous post in the last couple of days.

 May 31, 2016
 #2
avatar+129838 
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If he ran the first 2km  at 12 k/hr......it has taken him  ... 2km/ [12km/hr] =  1/6hr   to do so

 

So.......he must run the remaining 8km in 5/6 hr........so......

 

Distance / Rate  =  Time         where R is the rate he must maintain

 

8km/ R   = [5/6] hr      ......rearrange.....

 

R = [8km] / [5/6]hr

 

R = [8km] * [6/5] hr

 

R = [48/5]km/hr   = 9.6 km/hr

 

 

cool cool cool

 May 31, 2016

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