SOLUTION: Jack leaves his home, traveling north at an average rate of 55 miles per hour. Five hours later, his wife, Frances, leaves home and takes the same route traveling at an average rat

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Question 1197866: Jack leaves his home, traveling north at an average rate of 55 miles per hour. Five hours later, his wife, Frances, leaves home and takes the same route traveling at an average rate of 80 miles per hour. How long will it take Frances to catch Jack?
Found 2 solutions by ewatrrr, josgarithmetic:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
D =rt  Both Jack and Frances traveling equal distances:
Question states
(55mph)t = (80mph)(t-5)
 400 = 25t
 400/25 = t = 16hr, Jack's time
 Frances time = 11hr 
checking:  55mph*16h = 80mph*11h = 880mi checks
Wish You the Best in your Studies.


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
             SPEED    TIME    DIST.

JACK           55     x+5       d

FRANCES       80      x         d

55%28x%2B5%29=80x
55x%2B55%2A5=80x
55%2A5=25x
highlight%28x=11%29