Question 828190
he passes a truck stop at which police officer, Willie Katchup is dining. Willie receives a call from a dispatcher, and takes off 5 minutes after Robin went by. Robin is driving at 60 mph. WIllie is driving at 80 mph. How long does it take Willie to catch robin.
:
since we are using mph, we have to change 5 min to hrs: 5/60 = 1/12 hr
let t = travel time of the cop
Robin travels 5 min longer therefore
(t+{{{1/12}}}) = Robins travel time
:
When the cop catches Robin, they will have traveled the same distance
write a distance equation; dist = speed * time
:
80t = 60(t+{{{1/12}}})
12 cancels into 60
80t = 60t + 5
80t - 20t = 5
20t = 5
 t = {{{5/20}}}
 t = {{{1/4}}} hr which is 15 min for cop to catch robin