Problema Solution
One runner passes another runner traveling in the same direction. The faster runner is traveling 2 miles per hour faster than the slower runner. Determine how long it will be before the faster runner is 3/4 of a mile ahead of the slower runner.
Answer provided by our tutors
let
v = the speed of the slower runner
v + 2 = the speed of the faster runner
t = the time of the travel
since distance = speed*timw
(v + 2)*t - v*t = 3/4
t(v + 2 - v) = 3/4
2t = 3/4 divide both sides by 2
t = 3/8
t = 0.375 hr
t = 22.5 min
the faster runner is 3/4 of a mile ahead of the slower runner after 22.5 minutes.