SOLUTION: A runner splits her journey into two parts. She travels at a speed of v m/s for t seconds and covered a third of the journey. Then she continued the rest of her journey at twice

Question 825483: A runner splits her journey into two parts. She travels at a speed of v m/s for t seconds
and covered a third of the journey. Then she continued the rest of her journey at twice
the speed. Express in terms of v and t her average speed.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
s = d/t
d = s*t
t = d/s
---
part 1:
t1 = (1/3)d/v
---
part 2:
t2 = (2/3)d/2v
---
total trip average speed:
t = t1 + t2
s = d/t
s = d/( (1/3)d/v + (2/3)d/2v )
s = d/( (1/3)d/v + (1/3)d/v )
s = d/( (2/3)d/v )
s = 1/( (2/3)/v )
s = v/(2/3)
---
answer:
s = (3/2)v
---
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