Answer:
2.5 hours.
Step-by-step explanation:
Let the distance traveled by the truck heading west = x miles.
Let the distance traveled by the truck heading east = y miles.
Distance between the trucks = 325 miles.
Therefore, x + y = 325 (Equation 1).
Speed of the truck heading west = 70 miles per hour.
Speed of the truck heading east = 60 miles per hour.
Therefore, time taken by the truck heading west = x/70 hours and time taken by the truck heading east = y/60 hours.
Since the time is same for both trucks, therefore:
x/70 = y/60.
6x = 7y.
x = 7y/6 (Equation 2).
Put Equation 2 in Equation 1:
7y/6 + y = 325.
(7y + 6y)/6 = 325.
13y = 1950.
y = 150 miles.
Since time taken by the truck heading east = y/60 hours, put y = 150 miles.
Time taken = 150/60 hours.
Time taken = 2.5 hours.
Therefore, the trucks will travel 2.5 hours before they are 325 miles apart!!!
