Problema Solution

A runner runs a course at a constant speed of 6 mph. One hour after the runner begins, a cyclist starts on the same course at a constant speed of 15 mph. How long after the runner starts does the cyclist overtake the runner?

Answer provided by our tutors

distance covered by runner in 1 hr =6 miles

now cyclist strts

suppose it takes time "t" to catch

distance covered by runner in time "t" = 6t 

total distance required to be covered by cyclist = 6+6t 

6+6t=15t 

6=9t

t=6/9 hrs

=2/3 hrs=40 min