SOLUTION: two cyclists start out at the same time and travel towards each other from points that are 140 miles apart. The frst cyclist travels at an average speed of 30 miles per hour, and t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two cyclists start out at the same time and travel towards each other from points that are 140 miles apart. The frst cyclist travels at an average speed of 30 miles per hour, and t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 413041: two cyclists start out at the same time and travel towards each other from points that are 140 miles apart. The frst cyclist travels at an average speed of 30 miles per hour, and the second travles at an averag espeed of 40 miles an hour. After how many hours will they meet?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (140-x)represent distance traveled by 40mph and 30mph cyclist respectively

Question states***  Note: t = D/r and is the same for both cylists

 x%2F40+=+%28140-x%29%2F30

    30x = 40(140-x)

   70x = 5600

     x = 80mi, distance traveled by 40mph cyclist.  t = 80mi/40mph = 2hr

CHECKING our Answer***

  2hr = 60mi/30mph