SOLUTION: Jacob left the movie theater and traveled toward the lake an average speed of 50 Km/h. Jenny left sometime later after traveling in the opposite direction with an average speed up

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Jacob left the movie theater and traveled toward the lake an average speed of 50 Km/h. Jenny left sometime later after traveling in the opposite direction with an average speed up       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1184335: Jacob left the movie theater and traveled toward the lake an average speed of 50 Km/h. Jenny left sometime later after traveling in the opposite direction with an average speed up 70 km/h. After Jacob had traveled for six hours they were 440 km apart how long did Jenny travel
Found 3 solutions by ikleyn, MathTherapy, josgarithmetic:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Jacob left the movie theater and traveled toward the lake an average speed of 50 Km/h.
Jenny left sometime later after traveling in the opposite direction with an average speed up 70 km/h.
After Jacob had traveled for six hours they were 440 km apart how long did Jenny travel
~~~~~~~~~~~~~~~~~~~


The solution is in one line.


    how long did Jenny travel  = %28440-6%2A50%29%2F70 = %28440-300%29%2F70 = 140%2F70 = 2 hours.    ANSWER

Solved.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Jacob left the movie theater and traveled toward the lake an average speed of 50 Km/h. Jenny left sometime later after traveling in the opposite direction with an average speed up 70 km/h. After Jacob had traveled for six hours they were 440 km apart how long did Jenny travel
Since Jacob had traveled for 6 hours when they were 440 km apart, then distance he'd traveled was: 50(6) = 300 km
Therefore, since they were 440 km apart, Jenny had traveled 440 - 300, or 140 km
And so, time Jenny took to get to point at which they were 440 km apart = highlight_green%28matrix%281%2C4%2C+140%2F70%2C+%22=%22%2C+2%2C+hours%29%29

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
X%3C6, Jenny's time
               SPEED       TIME      DISTANCE
Jacob          50           6        50*6
Jenny          70           X        70X
Separation                           440

70X%2B50%2A6=440

70X=440-300
X=%28440-300%29%2F70
X=%2844-30%29%2F7
X=14%2F7=highlight%282%29