<PRE><B>Question 899373</B>
1000 = a + b + c + d + e


a = a
b = a/2
c = b/3 = (a/2)/3 = a/6
d = c/4 = (a/6)/4 = a/24
e = d/5 = (a/24)/5 = a/120


you get:


1000 = a + b + c + d + e becomes:
1000 = a + a/2 + a/6 + a/24 + a/120


multiply both sides of this equation by 120 and you get:


120 * 1000 = 120a + 60a + 20a + 5a + 1a


combine like terms to get:


120 * 1000 = 206a


divide both sides of this equation by 206 to get:


120 * 1000 / 206 = a


solve for a to get:


a = 582.5242...


you get:


a = 582.5242...
b = a/2 = 291.2621...
c = b/3 = 97.0873...
d = c/4 = 24.2718...
e = d/5 = 4.8543...


add them up and you get:


sum(a,b,c,d,e) = 1000


your solution is that she traveled 583 kilometers on the first day.
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