Problema Solution
A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Ten minutes later a second runner begins at the same point, running at a rate of 7 mi/hr and following the same course. How long will it take the second runner to reach the first?
Answer provided by our tutors
let
t = the time of the second runner
t + 10/60 = the time of the first runner (since he started running 10 min earlier)
since distance = speed*time and they both ran the same distance we have:
7t = 5(t + 10/60)
by solving we find:
t = 5/12 hr
t = 5*60/12 min
t = 25 min
click here to see the step by step solution of the equation:
the second runner will run 25 minutes to reach the first.