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
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-> 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
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Question 669998: 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/hr and overtakes the truck in 4 hr, 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/hr and overtakes the truck
in 4 hr, what is the average rate of the truck?
:
Let t = av rate of the truck (truck's travel time = 5 hrs)
:
When the bike overtakes the truck, they will have traveled the same distance
Write a distance equation; dist = rate * time
:
Truck dist = bike dist
5t = 4*65
5t = 260
t =
t = 52 mph is the truck speed
:
:
Confirm this by finding the actual distance each traveled
Truck: 5(52) = 260 mi
Bike: 4(65) = 260 mi
