SOLUTION: One hour after a truck has left on an overnight haul, a messenger on a motorcycle leaves from the same starting point to overtake the truck. If the messenger travels at an average
Question 468781: One hour after a truck has left on an overnight haul, a messenger on a motorcycle leaves from the same starting point to overtake the truck. If the messenger travels at an average rate of 65 mi/h and overtakes the truck in 4 hours, what is the average rate of the truck? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! One hour after a truck has left on an overnight haul, a messenger on a motorcycle
leaves from the same starting point to overtake the truck.
If the messenger travels at an average rate of 65 mi/h and overtakes the truck
in 4 hours, what is the average rate of the truck?
:
Let s = the speed of the truck
:
We are given the travel time of the Motorcycle as 4 hrs
then
the travel time of the truck is one hr longer: 5 hrs
:
When motorcycle overtakes the truck, they will have traveled the same distance
:
Write a distance equation, dist = speed * time
:
truck dist = motorcycle dist
5s = 65(4)
5s = 260
s =
s = 52 mph is the speed of the truck
:
:
:
see if this is true find the distance of each
4*65 = 260 mi
5*52 = 260 mi
