Paddlers

Students of canoeists trip traveled in three days 102 km.
Second day traveled 15% more than first day and at the third day 9 km over the second day.

How many kilometers traveled each day?

Result

1st d:  28.18 km
2nd d:  32.41 km
3rd d:  41.41 km

Solution:

x+y+z=102 x+100+15100x+100+15100x+9=102  3.3x=1029  x=28.18  km  x+y+z = 102 \ \\ x + \dfrac{100+15}{100} x + \dfrac{100+15}{100} x + 9 = 102 \ \\ \ \\ 3.3 x = 102 - 9 \ \\ \ \\ x = 28.18 \ \text{ km } \ \\
y=100+15100x=32.41  km y = \dfrac{100+15}{100} x = 32.41 \ \text{ km }
z=y+9=41.41  km z = y+ 9 = 41.41 \ \text{ km }



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