Hi

Two runners leave from the same location traveling in opposite directions. 

The first runner is running at 7 mph and the second is running at 9 mph. 

How long have they been running when they are 24 miles apart? 

Let x and (24-x) represent the Distance ran at 7mph and 9mph repectively

Question states*** (Note: d = r*t or t = D/r)

  

Solving for x by cross multiplying

 9x = 7(24-x)

  16x = 168

    x = 10.5mi, distance ran by 7mph runner

Time = 10.5mi/7mph = 1.5hr,the time they have been running

CHECKING our Answer***

  7mph*1.5hr + 9mph*1.5hr = 10.5mi + 13.5mi = 24mi 

RELATED QUESTIONS

Two runners leave from the same location traveling in opposite directions. The first... (answered by ewatrrr)

Two runners leave from the same location traveling in opposite directions. The first... (answered by mananth)

From the same spot, two runners start running toward opposite directions along the same... (answered by ikleyn)

Two balloonists leave the same location simultaneously traveling in opposite directions:... (answered by TimothyLamb)

Two cars leave the same location at the same time traveling in opposite directions.  One... (answered by ewatrrr)

Two cars leave from the same point, headed in opposite directions.  Car A is traveling 50  (answered by jorel1380)

Someone available to help me please?

Two distance runners leave from the same point at  (answered by JulietG,stanbon)

At 10 A.M. two cars leave the same location and travel in opposite directions.  One car's  (answered by stanbon)

a truck and van leave the same location traveling in opposite directions,  the trucks... (answered by algebrahouse.com)