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Samia set off on her bicycle to visit her friend, traveling at an average speed of 17 kilometers per hour. When she had gone half the distance to her friend's house, a tire went flat, and she walked the rest of the way at 5 kilometers per hour. In all it took her 44 minutes to reach her friend's house. In kilometers rounded to the nearest tenth, how far did Samia walk?

 May 11, 2022
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Let the distance she rode on the bicycle=distance she walked==D

 

D/17  +  D/5 ==44 / 60, solve for D

 

[5D + 17D] / 85 ==44/60  Cross multiply

 

5D + 17D ==3,740 / 60

 

22D ==62 1/3

 

D ==62 1/3 / 22 ==2.83 km - total distance walked.

 May 11, 2022

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