SOLUTION: DIANA RUNS 25 KM IN Y HOURS. ED WALKS AN AVERAGE SPEED OF 6KM/H LESS THAN DIANA'S AVERAGE SPEED AND TAKES 3 HOURS LONGER TO COMPLETE 3 KM LESS. WHAT IS THE VALUE OF Y?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: DIANA RUNS 25 KM IN Y HOURS. ED WALKS AN AVERAGE SPEED OF 6KM/H LESS THAN DIANA'S AVERAGE SPEED AND TAKES 3 HOURS LONGER TO COMPLETE 3 KM LESS. WHAT IS THE VALUE OF Y?      Log On

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Question 1159186: DIANA RUNS 25 KM IN Y HOURS.
ED WALKS AN AVERAGE SPEED OF 6KM/H LESS THAN DIANA'S AVERAGE SPEED AND TAKES 3 HOURS LONGER TO COMPLETE 3 KM LESS.
WHAT IS THE VALUE OF Y?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The Distances for each are not the same. 25 km for Diana, and 22 km for Ed. 
          SPEED    TIME   DISTANCE

Diana      25/Y     Y     25

Ed        25/Y-6    Y+3   22

highlight_green%28%2825%2FY-6%29%28Y%2B3%29=22%29
.
.
6Y%5E2%2B18Y-25Y%2B22Y-75=0
2Y%5E2%2B5Y-25=0
%282Y-5%29%28Y-10%29=0
The choice that works is 2Y-5=0
2Y=5
highlight%28Y=2%261%2F2%29