Question

Question

Answer 1

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!!!