Question

Question

Two truck drivers leave a rest area on the interstate at the same time. One truck travels east, and the other one travels west.
The truck heading west has an average speed of 70 mph, and the truck heading east has an average speed of 60 mph. How
long will they travel before they are 325 miles apart?

Answer 1

To find out how long two trucks will travel before they are 325 miles apart, we can use the formula: Distance = Speed * Time. By summing up the distances traveled by both trucks, we can solve for the time they will take to be 325 miles apart, which is approximately 2.5 hours.

Step-by-step explanation:

To find out how long the two trucks will travel before they are 325 miles apart, we can use the formula:

Distance = Speed × Time

Let's assume that the time it takes for the trucks to be 325 miles apart is T (in hours). Since one truck is traveling east and the other is traveling west, we can sum up the distances traveled by both trucks:

60T (for the truck heading east) + 70T (for the truck heading west) = 325

Combine like terms:

130T = 325

Divide both sides of the equation by 130 to solve for T:

T ≈ 2.5

Therefore, the trucks will travel for approximately 2.5 hours before they are 325 miles apart.

Answer 2

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!!!